diff --git a/Individual_Project/Posit_Multiplier/Posit_Extraction.sv b/Individual_Project/Posit_Multiplier/Posit_Extraction.sv
index e673bf4ad2b72fbd9d1a3d34b7d69fcb0f9a62da..7e27896b4be232d468f2dc7ac6897899564a31d0 100644
--- a/Individual_Project/Posit_Multiplier/Posit_Extraction.sv
+++ b/Individual_Project/Posit_Multiplier/Posit_Extraction.sv
@@ -29,7 +29,7 @@ module Data_Extraction #( parameter N = 8, parameter ES = 3, parameter RS = $clo
output logic signed [N-2:0] InRemain
);
-
+assign Sign = In[N-1];
logic RegimeCheck;
logic signed [RS:0] EndPosition;
logic signed [N-2:0] ShiftedRemain;
@@ -40,7 +40,6 @@ Leading_Bit_Detector #(.N(N), .ES(ES)) LBD1 (.*);
always_comb
begin
// Sign Bit Extraction
- Sign = In[N-1];
// if sign bit is 1, then 2's compliment
if (Sign)
diff --git a/Reference Code/mult/Pin1_8bit.txt b/Reference Code/mult/Pin1_8bit.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4f5ea0548198f759ae9ad076eda235d13bbb40b4
--- /dev/null
+++ b/Reference Code/mult/Pin1_8bit.txt
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diff --git a/Reference Code/mult/Pin2_8bit.txt b/Reference Code/mult/Pin2_8bit.txt
new file mode 100644
index 0000000000000000000000000000000000000000..bf39a985ef195ff8218ac224c598a6c49af0b28f
--- /dev/null
+++ b/Reference Code/mult/Pin2_8bit.txt
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diff --git a/Reference Code/mult/Posit_Multiplier.cr.mti b/Reference Code/mult/Posit_Multiplier.cr.mti
new file mode 100644
index 0000000000000000000000000000000000000000..0d88022ccd956f06c9ba70899ef4290389379a9f
--- /dev/null
+++ b/Reference Code/mult/Posit_Multiplier.cr.mti
@@ -0,0 +1,21 @@
+{H:/INDIVIDUAL PROJECT/Posit/mult/posit_mult.v} {1 {vlog -work work -stats=none {H:/INDIVIDUAL PROJECT/Posit/mult/posit_mult.v}
+Model Technology ModelSim - Intel FPGA Edition vlog 2020.1 Compiler 2020.02 Feb 28 2020
+-- Compiling module posit_mult
+-- Compiling module data_extract_v1
+-- Compiling module sub_N
+-- Compiling module add_N
+-- Compiling module add_N_Cin
+-- Compiling module add_1
+-- Compiling module conv_2c
+-- Compiling module reg_exp_op
+-- Compiling module DSR_left_N_S
+-- Compiling module DSR_right_N_S
+-- Compiling module LOD_N
+-- Compiling module LOD
+
+Top level modules:
+ posit_mult
+ sub_N
+ add_1
+
+} {} {}}
diff --git a/Reference Code/mult/Posit_Multiplier.mpf b/Reference Code/mult/Posit_Multiplier.mpf
new file mode 100644
index 0000000000000000000000000000000000000000..fad8d1b2e17ae2f08f759dbdbe2b109abd18d741
--- /dev/null
+++ b/Reference Code/mult/Posit_Multiplier.mpf
@@ -0,0 +1,466 @@
+; Copyright 1991-2009 Mentor Graphics Corporation
+;
+; All Rights Reserved.
+;
+; THIS WORK CONTAINS TRADE SECRET AND PROPRIETARY INFORMATION WHICH IS THE PROPERTY OF
+; MENTOR GRAPHICS CORPORATION OR ITS LICENSORS AND IS SUBJECT TO LICENSE TERMS.
+;
+
+[Library]
+std = $MODEL_TECH/../std
+ieee = $MODEL_TECH/../ieee
+verilog = $MODEL_TECH/../verilog
+vital2000 = $MODEL_TECH/../vital2000
+std_developerskit = $MODEL_TECH/../std_developerskit
+synopsys = $MODEL_TECH/../synopsys
+modelsim_lib = $MODEL_TECH/../modelsim_lib
+sv_std = $MODEL_TECH/../sv_std
+
+; Altera Primitive libraries
+;
+; VHDL Section
+;
+altera_mf = $MODEL_TECH/../altera/vhdl/altera_mf
+altera = $MODEL_TECH/../altera/vhdl/altera
+altera_lnsim = $MODEL_TECH/../altera/vhdl/altera_lnsim
+lpm = $MODEL_TECH/../altera/vhdl/220model
+220model = $MODEL_TECH/../altera/vhdl/220model
+maxii = $MODEL_TECH/../altera/vhdl/maxii
+maxv = $MODEL_TECH/../altera/vhdl/maxv
+fiftyfivenm = $MODEL_TECH/../altera/vhdl/fiftyfivenm
+sgate = $MODEL_TECH/../altera/vhdl/sgate
+arriaii = $MODEL_TECH/../altera/vhdl/arriaii
+arriaii_hssi = $MODEL_TECH/../altera/vhdl/arriaii_hssi
+arriaii_pcie_hip = $MODEL_TECH/../altera/vhdl/arriaii_pcie_hip
+arriaiigz = $MODEL_TECH/../altera/vhdl/arriaiigz
+arriaiigz_hssi = $MODEL_TECH/../altera/vhdl/arriaiigz_hssi
+arriaiigz_pcie_hip = $MODEL_TECH/../altera/vhdl/arriaiigz_pcie_hip
+stratixiv = $MODEL_TECH/../altera/vhdl/stratixiv
+stratixiv_hssi = $MODEL_TECH/../altera/vhdl/stratixiv_hssi
+stratixiv_pcie_hip = $MODEL_TECH/../altera/vhdl/stratixiv_pcie_hip
+cycloneiv = $MODEL_TECH/../altera/vhdl/cycloneiv
+cycloneiv_hssi = $MODEL_TECH/../altera/vhdl/cycloneiv_hssi
+cycloneiv_pcie_hip = $MODEL_TECH/../altera/vhdl/cycloneiv_pcie_hip
+cycloneive = $MODEL_TECH/../altera/vhdl/cycloneive
+stratixv = $MODEL_TECH/../altera/vhdl/stratixv
+stratixv_hssi = $MODEL_TECH/../altera/vhdl/stratixv_hssi
+stratixv_pcie_hip = $MODEL_TECH/../altera/vhdl/stratixv_pcie_hip
+arriavgz = $MODEL_TECH/../altera/vhdl/arriavgz
+arriavgz_hssi = $MODEL_TECH/../altera/vhdl/arriavgz_hssi
+arriavgz_pcie_hip = $MODEL_TECH/../altera/vhdl/arriavgz_pcie_hip
+arriav = $MODEL_TECH/../altera/vhdl/arriav
+cyclonev = $MODEL_TECH/../altera/vhdl/cyclonev
+twentynm = $MODEL_TECH/../altera/vhdl/twentynm
+twentynm_hssi = $MODEL_TECH/../altera/vhdl/twentynm_hssi
+twentynm_hip = $MODEL_TECH/../altera/vhdl/twentynm_hip
+cyclone10lp = $MODEL_TECH/../altera/vhdl/cyclone10lp
+;
+; Verilog Section
+;
+altera_mf_ver = $MODEL_TECH/../altera/verilog/altera_mf
+altera_ver = $MODEL_TECH/../altera/verilog/altera
+altera_lnsim_ver = $MODEL_TECH/../altera/verilog/altera_lnsim
+lpm_ver = $MODEL_TECH/../altera/verilog/220model
+220model_ver = $MODEL_TECH/../altera/verilog/220model
+maxii_ver = $MODEL_TECH/../altera/verilog/maxii
+maxv_ver = $MODEL_TECH/../altera/verilog/maxv
+fiftyfivenm_ver = $MODEL_TECH/../altera/verilog/fiftyfivenm
+sgate_ver = $MODEL_TECH/../altera/verilog/sgate
+arriaii_ver = $MODEL_TECH/../altera/verilog/arriaii
+arriaii_hssi_ver = $MODEL_TECH/../altera/verilog/arriaii_hssi
+arriaii_pcie_hip_ver = $MODEL_TECH/../altera/verilog/arriaii_pcie_hip
+arriaiigz_ver = $MODEL_TECH/../altera/verilog/arriaiigz
+arriaiigz_hssi_ver = $MODEL_TECH/../altera/verilog/arriaiigz_hssi
+arriaiigz_pcie_hip_ver = $MODEL_TECH/../altera/verilog/arriaiigz_pcie_hip
+stratixiv_ver = $MODEL_TECH/../altera/verilog/stratixiv
+stratixiv_hssi_ver = $MODEL_TECH/../altera/verilog/stratixiv_hssi
+stratixiv_pcie_hip_ver = $MODEL_TECH/../altera/verilog/stratixiv_pcie_hip
+stratixv_ver = $MODEL_TECH/../altera/verilog/stratixv
+stratixv_hssi_ver = $MODEL_TECH/../altera/verilog/stratixv_hssi
+stratixv_pcie_hip_ver = $MODEL_TECH/../altera/verilog/stratixv_pcie_hip
+arriavgz_ver = $MODEL_TECH/../altera/verilog/arriavgz
+arriavgz_hssi_ver = $MODEL_TECH/../altera/verilog/arriavgz_hssi
+arriavgz_pcie_hip_ver = $MODEL_TECH/../altera/verilog/arriavgz_pcie_hip
+arriav_ver = $MODEL_TECH/../altera/verilog/arriav
+arriav_hssi_ver = $MODEL_TECH/../altera/verilog/arriav_hssi
+arriav_pcie_hip_ver = $MODEL_TECH/../altera/verilog/arriav_pcie_hip
+cyclonev_ver = $MODEL_TECH/../altera/verilog/cyclonev
+cyclonev_hssi_ver = $MODEL_TECH/../altera/verilog/cyclonev_hssi
+cyclonev_pcie_hip_ver = $MODEL_TECH/../altera/verilog/cyclonev_pcie_hip
+cycloneiv_ver = $MODEL_TECH/../altera/verilog/cycloneiv
+cycloneiv_hssi_ver = $MODEL_TECH/../altera/verilog/cycloneiv_hssi
+cycloneiv_pcie_hip_ver = $MODEL_TECH/../altera/verilog/cycloneiv_pcie_hip
+cycloneive_ver = $MODEL_TECH/../altera/verilog/cycloneive
+twentynm_ver = $MODEL_TECH/../altera/verilog/twentynm
+twentynm_hssi_ver = $MODEL_TECH/../altera/verilog/twentynm_hssi
+twentynm_hip_ver = $MODEL_TECH/../altera/verilog/twentynm_hip
+cyclone10lp_ver = $MODEL_TECH/../altera/verilog/cyclone10lp
+
+work = work
+[vcom]
+; VHDL93 variable selects language version as the default.
+; Default is VHDL-2002.
+; Value of 0 or 1987 for VHDL-1987.
+; Value of 1 or 1993 for VHDL-1993.
+; Default or value of 2 or 2002 for VHDL-2002.
+; Default or value of 3 or 2008 for VHDL-2008.
+VHDL93 = 2002
+
+; Show source line containing error. Default is off.
+; Show_source = 1
+
+; Turn off unbound-component warnings. Default is on.
+; Show_Warning1 = 0
+
+; Turn off process-without-a-wait-statement warnings. Default is on.
+; Show_Warning2 = 0
+
+; Turn off null-range warnings. Default is on.
+; Show_Warning3 = 0
+
+; Turn off no-space-in-time-literal warnings. Default is on.
+; Show_Warning4 = 0
+
+; Turn off multiple-drivers-on-unresolved-signal warnings. Default is on.
+; Show_Warning5 = 0
+
+; Turn off optimization for IEEE std_logic_1164 package. Default is on.
+; Optimize_1164 = 0
+
+; Turn on resolving of ambiguous function overloading in favor of the
+; "explicit" function declaration (not the one automatically created by
+; the compiler for each type declaration). Default is off.
+; The .ini file has Explicit enabled so that std_logic_signed/unsigned
+; will match the behavior of synthesis tools.
+Explicit = 1
+
+; Turn off acceleration of the VITAL packages. Default is to accelerate.
+; NoVital = 1
+
+; Turn off VITAL compliance checking. Default is checking on.
+; NoVitalCheck = 1
+
+; Ignore VITAL compliance checking errors. Default is to not ignore.
+; IgnoreVitalErrors = 1
+
+; Turn off VITAL compliance checking warnings. Default is to show warnings.
+; Show_VitalChecksWarnings = 0
+
+; Keep silent about case statement static warnings.
+; Default is to give a warning.
+; NoCaseStaticError = 1
+
+; Keep silent about warnings caused by aggregates that are not locally static.
+; Default is to give a warning.
+; NoOthersStaticError = 1
+
+; Turn off inclusion of debugging info within design units.
+; Default is to include debugging info.
+; NoDebug = 1
+
+; Turn off "Loading..." messages. Default is messages on.
+; Quiet = 1
+
+; Turn on some limited synthesis rule compliance checking. Checks only:
+; -- signals used (read) by a process must be in the sensitivity list
+; CheckSynthesis = 1
+
+; Activate optimizations on expressions that do not involve signals,
+; waits, or function/procedure/task invocations. Default is off.
+; ScalarOpts = 1
+
+; Require the user to specify a configuration for all bindings,
+; and do not generate a compile time default binding for the
+; component. This will result in an elaboration error of
+; 'component not bound' if the user fails to do so. Avoids the rare
+; issue of a false dependency upon the unused default binding.
+; RequireConfigForAllDefaultBinding = 1
+
+; Inhibit range checking on subscripts of arrays. Range checking on
+; scalars defined with subtypes is inhibited by default.
+; NoIndexCheck = 1
+
+; Inhibit range checks on all (implicit and explicit) assignments to
+; scalar objects defined with subtypes.
+; NoRangeCheck = 1
+
+[vlog]
+
+; Turn off inclusion of debugging info within design units.
+; Default is to include debugging info.
+; NoDebug = 1
+
+; Turn off "loading..." messages. Default is messages on.
+; Quiet = 1
+
+; Turn on Verilog hazard checking (order-dependent accessing of global vars).
+; Default is off.
+; Hazard = 1
+
+; Turn on converting regular Verilog identifiers to uppercase. Allows case
+; insensitivity for module names. Default is no conversion.
+; UpCase = 1
+
+; Turn on incremental compilation of modules. Default is off.
+; Incremental = 1
+
+; Turns on lint-style checking.
+; Show_Lint = 1
+
+[vsim]
+; Simulator resolution
+; Set to fs, ps, ns, us, ms, or sec with optional prefix of 1, 10, or 100.
+Resolution = ps
+
+; User time unit for run commands
+; Set to default, fs, ps, ns, us, ms, or sec. The default is to use the
+; unit specified for Resolution. For example, if Resolution is 100ps,
+; then UserTimeUnit defaults to ps.
+; Should generally be set to default.
+UserTimeUnit = default
+
+; Default run length
+RunLength = 50 us
+
+; Maximum iterations that can be run without advancing simulation time
+IterationLimit = 5000
+
+; Directive to license manager:
+; vhdl Immediately reserve a VHDL license
+; vlog Immediately reserve a Verilog license
+; plus Immediately reserve a VHDL and Verilog license
+; nomgc Do not look for Mentor Graphics Licenses
+; nomti Do not look for Model Technology Licenses
+; noqueue Do not wait in the license queue when a license isn't available
+; viewsim Try for viewer license but accept simulator license(s) instead
+; of queuing for viewer license
+; License = plus
+
+; Stop the simulator after a VHDL/Verilog assertion message
+; 0 = Note 1 = Warning 2 = Error 3 = Failure 4 = Fatal
+BreakOnAssertion = 3
+
+; Assertion Message Format
+; %S - Severity Level
+; %R - Report Message
+; %T - Time of assertion
+; %D - Delta
+; %I - Instance or Region pathname (if available)
+; %% - print '%' character
+; AssertionFormat = "** %S: %R\n Time: %T Iteration: %D%I\n"
+
+; Assertion File - alternate file for storing VHDL/Verilog assertion messages
+; AssertFile = assert.log
+
+; Default radix for all windows and commands...
+; Set to symbolic, ascii, binary, octal, decimal, hex, unsigned
+DefaultRadix = symbolic
+
+; VSIM Startup command
+; Startup = do startup.do
+
+; File for saving command transcript
+TranscriptFile = transcript
+
+; File for saving command history
+; CommandHistory = cmdhist.log
+
+; Specify whether paths in simulator commands should be described
+; in VHDL or Verilog format.
+; For VHDL, PathSeparator = /
+; For Verilog, PathSeparator = .
+; Must not be the same character as DatasetSeparator.
+PathSeparator = /
+
+; Specify the dataset separator for fully rooted contexts.
+; The default is ':'. For example, sim:/top
+; Must not be the same character as PathSeparator.
+DatasetSeparator = :
+
+; Disable VHDL assertion messages
+; IgnoreNote = 1
+; IgnoreWarning = 1
+; IgnoreError = 1
+; IgnoreFailure = 1
+
+; Default force kind. May be freeze, drive, deposit, or default
+; or in other terms, fixed, wired, or charged.
+; A value of "default" will use the signal kind to determine the
+; force kind, drive for resolved signals, freeze for unresolved signals
+; DefaultForceKind = freeze
+
+; If zero, open files when elaborated; otherwise, open files on
+; first read or write. Default is 0.
+; DelayFileOpen = 1
+
+; Control VHDL files opened for write.
+; 0 = Buffered, 1 = Unbuffered
+UnbufferedOutput = 0
+
+; Control the number of VHDL files open concurrently.
+; This number should always be less than the current ulimit
+; setting for max file descriptors.
+; 0 = unlimited
+ConcurrentFileLimit = 40
+
+; Control the number of hierarchical regions displayed as
+; part of a signal name shown in the Wave window.
+; A value of zero tells VSIM to display the full name.
+; The default is 0.
+; WaveSignalNameWidth = 0
+
+; Turn off warnings from the std_logic_arith, std_logic_unsigned
+; and std_logic_signed packages.
+; StdArithNoWarnings = 1
+
+; Turn off warnings from the IEEE numeric_std and numeric_bit packages.
+; NumericStdNoWarnings = 1
+
+; Control the format of the (VHDL) FOR generate statement label
+; for each iteration. Do not quote it.
+; The format string here must contain the conversion codes %s and %d,
+; in that order, and no other conversion codes. The %s represents
+; the generate_label; the %d represents the generate parameter value
+; at a particular generate iteration (this is the position number if
+; the generate parameter is of an enumeration type). Embedded whitespace
+; is allowed (but discouraged); leading and trailing whitespace is ignored.
+; Application of the format must result in a unique scope name over all
+; such names in the design so that name lookup can function properly.
+; GenerateFormat = %s__%d
+
+; Specify whether checkpoint files should be compressed.
+; The default is 1 (compressed).
+; CheckpointCompressMode = 0
+
+; List of dynamically loaded objects for Verilog PLI applications
+; Veriuser = veriuser.sl
+
+; Specify default options for the restart command. Options can be one
+; or more of: -force -nobreakpoint -nolist -nolog -nowave
+; DefaultRestartOptions = -force
+
+; HP-UX 10.20 ONLY - Enable memory locking to speed up large designs
+; (> 500 megabyte memory footprint). Default is disabled.
+; Specify number of megabytes to lock.
+; LockedMemory = 1000
+
+; Turn on (1) or off (0) WLF file compression.
+; The default is 1 (compress WLF file).
+; WLFCompress = 0
+
+; Specify whether to save all design hierarchy (1) in the WLF file
+; or only regions containing logged signals (0).
+; The default is 0 (save only regions with logged signals).
+; WLFSaveAllRegions = 1
+
+; WLF file time limit. Limit WLF file by time, as closely as possible,
+; to the specified amount of simulation time. When the limit is exceeded
+; the earliest times get truncated from the file.
+; If both time and size limits are specified the most restrictive is used.
+; UserTimeUnits are used if time units are not specified.
+; The default is 0 (no limit). Example: WLFTimeLimit = {100 ms}
+; WLFTimeLimit = 0
+
+; WLF file size limit. Limit WLF file size, as closely as possible,
+; to the specified number of megabytes. If both time and size limits
+; are specified then the most restrictive is used.
+; The default is 0 (no limit).
+; WLFSizeLimit = 1000
+
+; Specify whether or not a WLF file should be deleted when the
+; simulation ends. A value of 1 will cause the WLF file to be deleted.
+; The default is 0 (do not delete WLF file when simulation ends).
+; WLFDeleteOnQuit = 1
+
+; Automatic SDF compilation
+; Disables automatic compilation of SDF files in flows that support it.
+; Default is on, uncomment to turn off.
+; NoAutoSDFCompile = 1
+
+[lmc]
+
+[msg_system]
+; Change a message severity or suppress a message.
+; The format is: <msg directive> = <msg number>[,<msg number>...]
+; Examples:
+; note = 3009
+; warning = 3033
+; error = 3010,3016
+; fatal = 3016,3033
+; suppress = 3009,3016,3043
+; The command verror <msg number> can be used to get the complete
+; description of a message.
+
+; Control transcripting of elaboration/runtime messages.
+; The default is to have messages appear in the transcript and
+; recorded in the wlf file (messages that are recorded in the
+; wlf file can be viewed in the MsgViewer). The other settings
+; are to send messages only to the transcript or only to the
+; wlf file. The valid values are
+; both {default}
+; tran {transcript only}
+; wlf {wlf file only}
+; msgmode = both
+[Project]
+** Warning: ; Warning -- Do not edit the project properties directly.
+; Property names are dynamic in nature and property
+; values have special syntax. Changing property data directly
+; can result in a corrupt MPF file. All project properties
+; can be modified through project window dialogs.
+Project_Version = 6
+Project_DefaultLib = work
+Project_SortMethod = unused
+Project_Files_Count = 2
+Project_File_0 = H:/INDIVIDUAL PROJECT/Posit/mult/posit_mult_8bit_tb.v
+Project_File_P_0 = cover_toggle 0 file_type verilog group_id 0 cover_exttoggle 0 cover_nofec 0 cover_cond 0 vlog_1995compat 0 vlog_nodebug 0 cover_fsm 0 cover_branch 0 vlog_noload 0 folder {Top Level} last_compile 1675906005 vlog_enable0In 0 cover_excludedefault 0 vlog_disableopt 0 cover_covercells 0 cover_optlevel 3 vlog_hazard 0 vlog_showsource 0 voptflow 1 ood 0 vlog_0InOptions {} toggle - vlog_options {} compile_to work vlog_upper 0 cover_noshort 0 compile_order 1 dont_compile 0 cover_expr 0 cover_stmt 0
+Project_File_1 = H:/INDIVIDUAL PROJECT/Posit/mult/posit_mult.v
+Project_File_P_1 = cover_toggle 0 file_type verilog group_id 0 cover_exttoggle 0 cover_nofec 0 cover_cond 0 vlog_1995compat 0 vlog_nodebug 0 cover_branch 0 vlog_noload 0 folder {Top Level} last_compile 1675902966 cover_fsm 0 cover_excludedefault 0 vlog_enable0In 0 vlog_disableopt 0 cover_covercells 0 voptflow 1 vlog_showsource 0 vlog_hazard 0 cover_optlevel 3 toggle - vlog_0InOptions {} ood 0 cover_noshort 0 vlog_upper 0 compile_to work vlog_options {} compile_order 0 cover_expr 0 dont_compile 0 cover_stmt 0
+Project_Sim_Count = 0
+Project_Folder_Count = 0
+Echo_Compile_Output = 0
+Save_Compile_Report = 1
+Project_Opt_Count = 0
+ForceSoftPaths = 0
+ProjectStatusDelay = 5000
+VERILOG_DoubleClick = Edit
+VERILOG_CustomDoubleClick =
+SYSTEMVERILOG_DoubleClick = Edit
+SYSTEMVERILOG_CustomDoubleClick =
+VHDL_DoubleClick = Edit
+VHDL_CustomDoubleClick =
+PSL_DoubleClick = Edit
+PSL_CustomDoubleClick =
+TEXT_DoubleClick = Edit
+TEXT_CustomDoubleClick =
+SYSTEMC_DoubleClick = Edit
+SYSTEMC_CustomDoubleClick =
+TCL_DoubleClick = Edit
+TCL_CustomDoubleClick =
+MACRO_DoubleClick = Edit
+MACRO_CustomDoubleClick =
+VCD_DoubleClick = Edit
+VCD_CustomDoubleClick =
+SDF_DoubleClick = Edit
+SDF_CustomDoubleClick =
+XML_DoubleClick = Edit
+XML_CustomDoubleClick =
+LOGFILE_DoubleClick = Edit
+LOGFILE_CustomDoubleClick =
+UCDB_DoubleClick = Edit
+UCDB_CustomDoubleClick =
+TDB_DoubleClick = Edit
+TDB_CustomDoubleClick =
+UPF_DoubleClick = Edit
+UPF_CustomDoubleClick =
+PCF_DoubleClick = Edit
+PCF_CustomDoubleClick =
+PROJECT_DoubleClick = Edit
+PROJECT_CustomDoubleClick =
+VRM_DoubleClick = Edit
+VRM_CustomDoubleClick =
+DEBUGDATABASE_DoubleClick = Edit
+DEBUGDATABASE_CustomDoubleClick =
+DEBUGARCHIVE_DoubleClick = Edit
+DEBUGARCHIVE_CustomDoubleClick =
+Project_Major_Version = 2020
+Project_Minor_Version = 1
diff --git a/Reference Code/mult/Pout_8bit_ES4.txt b/Reference Code/mult/Pout_8bit_ES4.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ad4012ad8d0468cc7a6719621e619d1e16973812
--- /dev/null
+++ b/Reference Code/mult/Pout_8bit_ES4.txt
@@ -0,0 +1,65278 @@
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diff --git a/Reference Code/mult/README.txt b/Reference Code/mult/README.txt
new file mode 100644
index 0000000000000000000000000000000000000000..29d389fef67b37a9e4154a8468bced3efc17e446
--- /dev/null
+++ b/Reference Code/mult/README.txt
@@ -0,0 +1,16 @@
+File description:
+
+1. posit_mult.v : Top-module which takes N (posit word size) and es (posit exponent size). It also includes all the sub-modules.
+
+Below are the files for test-module for posit mult with N=8, ES=4 (User can test for other options). It is an all exhaustive test for 8-bit operands (excluding Infinity multiplications to avoid comparision with julia pachage interupts for them).
+
+2. posit_mult_8bit_tb.v : Test-bench module.
+3. posit_mult_8bit.sh : A ModelSim bash script to invoke and run modelsim simulator to run the test-bench.
+4. Pin1_8bit.txt : Input-1 8-bit (Infinity multiplications are removed to avoid interupt from corresponding julia result comparisions)
+5. Pin2_8bit.txt : Input-2 8-bit (Infinity multiplications are removed to avoid interupt from corresponding julia result comparisions)
+6. Pout_8bit_ES4.txt : Pre-stored posit multiplication results for comparison purpose.
+
+**. error_8bit.txt : File will be generated during simulation which contains the difference of result produce by the Verilog module with pre-stored posit addition results.
+
+
+7. julia_posit8_mult.sh : This is a bash shell script for posit addition using julia posit package. It is currently using 8-bit inputs. Julia posit package can be downloaded from https://github.com/interplanetary-robot/SigmoidNumbers
diff --git a/Reference Code/mult/error_8bit.txt b/Reference Code/mult/error_8bit.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f304b8accf896cb4343f10993c799ac63787f5b9
--- /dev/null
+++ b/Reference Code/mult/error_8bit.txt
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diff --git a/Reference Code/mult/julia_posit8_mult.sh b/Reference Code/mult/julia_posit8_mult.sh
new file mode 100644
index 0000000000000000000000000000000000000000..23a471218c9aacffbeda26b63a6ed060ef071506
--- /dev/null
+++ b/Reference Code/mult/julia_posit8_mult.sh
@@ -0,0 +1,29 @@
+#!/bin/bash
+
+function posit_mult(y1,y2)
+ print(PS(y1),"\t")
+ print(PS(y2),"\t")
+ println(PS(y1)*PS(y2))
+end
+
+if ARGS[1] == "--help"
+ println("Usgae: julia julia_posit8_mult.sh N<size of operands> es<Exp size>")
+else
+ using SigmoidNumbers
+ N = parse(ARGS[1])
+ es = parse(ARGS[2])
+ PS=Posit{N,es}
+ f1=open("Pin1_8bit.txt")
+ f2=open("Pin2_8bit.txt")
+ lines1 = readlines(f1)
+ lines2 = readlines(f2)
+ for l = 1:65536
+ x1="0b"lines1[l]
+ x2="0b"lines2[l]
+ y1=parse(x1)
+ y2=parse(x2)
+ posit_mult(y1,y2)
+ end
+end
+
+
diff --git a/Reference Code/mult/posit_mult.v b/Reference Code/mult/posit_mult.v
new file mode 100644
index 0000000000000000000000000000000000000000..97a8b24dc88aa6fb4bf88c5488cfbd8dd90b8b4c
--- /dev/null
+++ b/Reference Code/mult/posit_mult.v
@@ -0,0 +1,293 @@
+`timescale 1ns / 1ps
+//(* use_dsp = "no" *)
+module posit_mult(in1, in2, start, out, inf, zero, done);
+
+function [31:0] log2;
+input reg [31:0] value;
+ begin
+ value = value-1;
+ for (log2=0; value>0; log2=log2+1)
+ value = value>>1;
+ end
+endfunction
+
+parameter N = 16;
+parameter Bs = log2(N);
+parameter es = 3;
+
+input [N-1:0] in1, in2;
+input start;
+output [N-1:0] out;
+output inf, zero;
+output done;
+
+wire start0= start;
+wire s1 = in1[N-1];
+wire s2 = in2[N-1];
+wire zero_tmp1 = |in1[N-2:0];
+wire zero_tmp2 = |in2[N-2:0];
+wire inf1 = in1[N-1] & (~zero_tmp1),
+ inf2 = in2[N-1] & (~zero_tmp2);
+wire zero1 = ~(in1[N-1] | zero_tmp1),
+ zero2 = ~(in2[N-1] | zero_tmp2);
+assign inf = inf1 | inf2,
+ zero = zero1 & zero2;
+
+//Data Extraction
+wire rc1, rc2;
+wire [Bs-1:0] regime1, regime2;
+wire [es-1:0] e1, e2;
+wire [N-es-1:0] mant1, mant2;
+wire [N-1:0] xin1 = s1 ? -in1 : in1;
+wire [N-1:0] xin2 = s2 ? -in2 : in2;
+data_extract_v1 #(.N(N),.es(es)) uut_de1(.in(xin1), .rc(rc1), .regime(regime1), .exp(e1), .mant(mant1));
+data_extract_v1 #(.N(N),.es(es)) uut_de2(.in(xin2), .rc(rc2), .regime(regime2), .exp(e2), .mant(mant2));
+
+wire [N-es:0] m1 = {zero_tmp1,mant1},
+ m2 = {zero_tmp2,mant2};
+
+//Sign, Exponent and Mantissa Computation
+wire mult_s = s1 ^ s2;
+
+wire [2*(N-es)+1:0] mult_m = m1*m2;
+wire mult_m_ovf = mult_m[2*(N-es)+1];
+wire [2*(N-es)+1:0] mult_mN = ~mult_m_ovf ? mult_m << 1'b1 : mult_m;
+
+wire [Bs+1:0] r1 = rc1 ? {2'b0,regime1} : -regime1;
+wire [Bs+1:0] r2 = rc2 ? {2'b0,regime2} : -regime2;
+wire [Bs+es+1:0] mult_e;
+add_N_Cin #(.N(Bs+es+1)) uut_add_exp ({r1,e1}, {r2,e2}, mult_m_ovf, mult_e);
+
+//Exponent and Regime Computation
+wire [es-1:0] e_o;
+wire [Bs:0] r_o;
+reg_exp_op #(.es(es), .Bs(Bs)) uut_reg_ro (mult_e[es+Bs+1:0], e_o, r_o);
+
+//Exponent, Mantissa and GRS Packing
+wire [2*N-1+3:0]tmp_o = {{N{~mult_e[es+Bs+1]}},mult_e[es+Bs+1],e_o,mult_mN[2*(N-es):2*(N-es)-(N-es-1)+1], mult_mN[2*(N-es)-(N-es-1):2*(N-es)-(N-es-1)-1], |mult_mN[2*(N-es)-(N-es-1)-2:0] };
+
+
+//Including Regime bits in Exponent-Mantissa Packing
+wire [3*N-1+3:0] tmp1_o;
+DSR_right_N_S #(.N(3*N+3), .S(Bs+1)) dsr2 (.a({tmp_o,{N{1'b0}}}), .b(r_o[Bs] ? {Bs{1'b1}} : r_o), .c(tmp1_o));
+
+//Rounding RNE : ulp_add = G.(R + S) + L.G.(~(R+S))
+wire L = tmp1_o[N+4], G = tmp1_o[N+3], R = tmp1_o[N+2], St = |tmp1_o[N+1:0],
+ ulp = ((G & (R | St)) | (L & G & ~(R | St)));
+wire [N-1:0] rnd_ulp = {{N-1{1'b0}},ulp};
+
+wire [N:0] tmp1_o_rnd_ulp;
+add_N #(.N(N)) uut_add_ulp (tmp1_o[2*N-1+3:N+3], rnd_ulp, tmp1_o_rnd_ulp);
+wire [N-1:0] tmp1_o_rnd = (r_o < N-es-2) ? tmp1_o_rnd_ulp[N-1:0] : tmp1_o[2*N-1+3:N+3];
+
+
+//Final Output
+wire [N-1:0] tmp1_oN = mult_s ? -tmp1_o_rnd : tmp1_o_rnd;
+assign out = inf|zero|(~mult_mN[2*(N-es)+1]) ? {inf,{N-1{1'b0}}} : {mult_s, tmp1_oN[N-1:1]},
+ done = start0;
+
+endmodule
+
+/////////////////////////
+module data_extract_v1(in, rc, regime, exp, mant);
+
+function [31:0] log2;
+input reg [31:0] value;
+ begin
+ value = value-1;
+ for (log2=0; value>0; log2=log2+1)
+ value = value>>1;
+ end
+endfunction
+
+parameter N=16;
+parameter Bs=log2(N);
+parameter es = 2;
+input [N-1:0] in;
+output rc;
+output [Bs-1:0] regime;
+output [es-1:0] exp;
+output [N-es-1:0] mant;
+
+wire [N-1:0] xin = in;
+assign rc = xin[N-2];
+
+wire [N-1:0] xin_r = rc ? ~xin : xin;
+
+wire [Bs-1:0] k;
+LOD_N #(.N(N)) xinst_k(.in({xin_r[N-2:0],rc^1'b0}), .out(k));
+
+assign regime = rc ? k-1 : k;
+
+wire [N-1:0] xin_tmp;
+DSR_left_N_S #(.N(N), .S(Bs)) ls (.a({xin[N-3:0],2'b0}),.b(k),.c(xin_tmp));
+
+assign exp= xin_tmp[N-1:N-es];
+assign mant= xin_tmp[N-es-1:0];
+
+endmodule
+
+
+/////////////////
+module sub_N (a,b,c);
+parameter N=10;
+input [N-1:0] a,b;
+output [N:0] c;
+assign c = {1'b0,a} - {1'b0,b};
+endmodule
+
+/////////////////////////
+module add_N (a,b,c);
+parameter N=10;
+input [N-1:0] a,b;
+output [N:0] c;
+assign c = {1'b0,a} + {1'b0,b};
+endmodule
+
+/////////////////////////
+module add_N_Cin (a,b,cin,c);
+parameter N=10;
+input [N:0] a,b;
+input cin;
+output [N:0] c;
+assign c = a + b + cin;
+endmodule
+
+
+/////////////////////////
+module add_1 (a,mant_ovf,c);
+parameter N=10;
+input [N:0] a;
+input mant_ovf;
+output [N:0] c;
+assign c = a + mant_ovf;
+endmodule
+
+/////////////////////////
+module conv_2c (a,c);
+parameter N=10;
+input [N:0] a;
+output [N:0] c;
+assign c = a + 1'b1;
+endmodule
+
+/////////////////////////
+module reg_exp_op (exp_o, e_o, r_o);
+parameter es=3;
+parameter Bs=5;
+input [es+Bs+1:0] exp_o;
+output [es-1:0] e_o;
+output [Bs:0] r_o;
+
+assign e_o = exp_o[es-1:0];
+
+wire [es+Bs:0] exp_oN_tmp;
+conv_2c #(.N(es+Bs)) uut_conv_2c1 (~exp_o[es+Bs:0],exp_oN_tmp);
+wire [es+Bs:0] exp_oN = exp_o[es+Bs+1] ? exp_oN_tmp[es+Bs:0] : exp_o[es+Bs:0];
+
+assign r_o = (~exp_o[es+Bs+1] || |(exp_oN[es-1:0])) ? exp_oN[es+Bs:es] + 1 : exp_oN[es+Bs:es];
+endmodule
+
+/////////////////////////
+module DSR_left_N_S(a,b,c);
+ parameter N=16;
+ parameter S=4;
+ input [N-1:0] a;
+ input [S-1:0] b;
+ output [N-1:0] c;
+
+wire [N-1:0] tmp [S-1:0];
+assign tmp[0] = b[0] ? a << 7'd1 : a;
+genvar i;
+generate
+ for (i=1; i<S; i=i+1)begin:loop_blk
+ assign tmp[i] = b[i] ? tmp[i-1] << 2**i : tmp[i-1];
+ end
+endgenerate
+assign c = tmp[S-1];
+
+endmodule
+
+
+/////////////////////////
+module DSR_right_N_S(a,b,c);
+ parameter N=16;
+ parameter S=4;
+ input [N-1:0] a;
+ input [S-1:0] b;
+ output [N-1:0] c;
+
+wire [N-1:0] tmp [S-1:0];
+assign tmp[0] = b[0] ? a >> 7'd1 : a;
+genvar i;
+generate
+ for (i=1; i<S; i=i+1)begin:loop_blk
+ assign tmp[i] = b[i] ? tmp[i-1] >> 2**i : tmp[i-1];
+ end
+endgenerate
+assign c = tmp[S-1];
+
+endmodule
+
+/////////////////////////
+
+module LOD_N (in, out);
+
+ function [31:0] log2;
+ input reg [31:0] value;
+ begin
+ value = value-1;
+ for (log2=0; value>0; log2=log2+1)
+ value = value>>1;
+ end
+ endfunction
+
+parameter N = 64;
+parameter S = log2(N);
+input [N-1:0] in;
+output [S-1:0] out;
+
+wire vld;
+LOD #(.N(N)) l1 (in, out, vld);
+endmodule
+
+
+module LOD (in, out, vld);
+
+ function [31:0] log2;
+ input reg [31:0] value;
+ begin
+ value = value-1;
+ for (log2=0; value>0; log2=log2+1)
+ value = value>>1;
+ end
+ endfunction
+
+
+parameter N = 64;
+parameter S = log2(N);
+
+ input [N-1:0] in;
+ output [S-1:0] out;
+ output vld;
+
+ generate
+ if (N == 2)
+ begin
+ assign vld = |in;
+ assign out = ~in[1] & in[0];
+ end
+ else if (N & (N-1))
+ //LOD #(1<<S) LOD ({1<<S {1'b0}} | in,out,vld);
+ LOD #(1<<S) LOD ({in,{((1<<S) - N) {1'b0}}},out,vld);
+ else
+ begin
+ wire [S-2:0] out_l, out_h;
+ wire out_vl, out_vh;
+ LOD #(N>>1) l(in[(N>>1)-1:0],out_l,out_vl);
+ LOD #(N>>1) h(in[N-1:N>>1],out_h,out_vh);
+ assign vld = out_vl | out_vh;
+ assign out = out_vh ? {1'b0,out_h} : {out_vl,out_l};
+ end
+ endgenerate
+endmodule
diff --git a/Reference Code/mult/posit_mult_8bit.sh b/Reference Code/mult/posit_mult_8bit.sh
new file mode 100644
index 0000000000000000000000000000000000000000..856c039b2ef83d762a94708c2d9aa3b11151b46b
--- /dev/null
+++ b/Reference Code/mult/posit_mult_8bit.sh
@@ -0,0 +1,9 @@
+vlib work
+
+vlog "posit_mult.v"
+vlog "posit_mult_8bit_tb.v"
+
+vsim -t ps work.posit_mult_8bit_tb_v
+view wave
+#add wave *
+run -all
diff --git a/Reference Code/mult/posit_mult_8bit_tb.v b/Reference Code/mult/posit_mult_8bit_tb.v
new file mode 100644
index 0000000000000000000000000000000000000000..bb9d320c8e9e74eab8aad54b9302a045c1105013
--- /dev/null
+++ b/Reference Code/mult/posit_mult_8bit_tb.v
@@ -0,0 +1,76 @@
+`timescale 1ns / 1ps
+module posit_mult_8bit_tb_v;
+
+function [31:0] log2;
+input reg [31:0] value;
+ begin
+ value = value-1;
+ for (log2=0; value>0; log2=log2+1)
+ value = value>>1;
+ end
+endfunction
+
+parameter N=8;
+parameter Bs=log2(N);
+parameter es=3;
+
+reg [N-1:0] in1, in2;
+reg start;
+wire [N-1:0] out;
+wire done;
+
+ reg clk;
+ integer outfile;
+
+
+// Instantiate the Unit Under Test (UUT)
+posit_mult #(.N(N), .es(es)) uut (in1, in2, start, out, inf, zero, done);
+
+reg [N-1:0] data1 [1:65534];
+reg [N-1:0] data2 [1:65534];
+initial $readmemb("Pin1_8bit.txt",data1);
+initial $readmemb("Pin2_8bit.txt",data2);
+
+reg [15:0] i;
+
+ initial begin
+ // Initialize Inputs
+ in1 = 0;
+ in2 = 0;
+ clk = 0;
+ start = 0;
+
+
+ // Wait 100 ns for global reset to finish
+ #100 i=0;
+ #20 start = 1;
+ #652790 start = 0;
+ #100;
+
+ $fclose(outfile);
+ $finish;
+ end
+
+ always #5 clk=~clk;
+
+ always @(posedge clk) begin
+ in1=data1[i];
+ in2=data2[i];
+ if(i==16'hffff)
+ $finish;
+ else i = i + 1;
+ end
+
+initial outfile = $fopen("error_8bit.txt", "wb");
+
+reg [N-1:0] result [1:65534];
+initial $readmemb("Pout_8bit_ES4.txt",result);
+reg [N-1:0] diff;
+always @(negedge clk) begin
+ if(start)begin
+ diff = (result[i-1] > out) ? result[i-1]-out : out-result[i-1];
+ $fwrite(outfile, "%d\n",diff);
+ end
+end
+endmodule
+
diff --git a/Reference Code/mult/vsim.wlf b/Reference Code/mult/vsim.wlf
new file mode 100644
index 0000000000000000000000000000000000000000..b9819cefac59e843abad9339e8887b2663993309
Binary files /dev/null and b/Reference Code/mult/vsim.wlf differ
diff --git a/Reference Code/mult/work/_info b/Reference Code/mult/work/_info
new file mode 100644
index 0000000000000000000000000000000000000000..dd55ed9870a7bca8617fbb1cba6fb53185beeca1
--- /dev/null
+++ b/Reference Code/mult/work/_info
@@ -0,0 +1,317 @@
+m255
+K4
+z2
+!s11f vlog 2020.1 2020.02, Feb 28 2020
+13
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index 0000000000000000000000000000000000000000..37aa36a8517ca31d354b0f3f5639f3bc2044a60f
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