From 99a9f6b5761ede01ef8fa27fe04ee1b81c627474 Mon Sep 17 00:00:00 2001 From: arianaolson419 Date: Sat, 23 Sep 2017 15:23:08 -0400 Subject: [PATCH 1/6] Initial commit. --- adder.t.v | 0 adder.v | 35 +++++++++++++++++++++++++++++++++++ 2 files changed, 35 insertions(+) create mode 100644 adder.t.v create mode 100644 adder.v diff --git a/adder.t.v b/adder.t.v new file mode 100644 index 0000000..e69de29 diff --git a/adder.v b/adder.v new file mode 100644 index 0000000..fa33020 --- /dev/null +++ b/adder.v @@ -0,0 +1,35 @@ +`define AND and #50 +`define XOR xor #50 +`define OR or #50 + +module FullAdder4bit +( + output[3:0] sum, // 2's complement sum of a and b + output carryout, // Carry out of the summation of a and b + output overflow, // True if the calculation resulted in an overflow + input[3:0] a, // First operand in 2's complement format + input[3:0] b // Second operand in 2's complement format +); + // Your Code Here +endmodule + +module structuralFullAdder +( + output sum, + output carryout, + input a, + input b, + input carryin +); + wire cout1; + wire cout2; + wire sumAB; + + `XOR AxorB(sumAB, a, b); + `XOR sumABxorCin(sum, sumAB, carryin); + + `AND AandB(cout1, a, b); + `AND sumABandCin(cout2, sumAB, carryin); + + `OR orcarries(carryout, cout1, cout2); +endmodule \ No newline at end of file From 4bb481ff8ac7dfa19e6b36122966ebf0dec27243 Mon Sep 17 00:00:00 2001 From: arianaolson419 Date: Sat, 23 Sep 2017 15:55:44 -0400 Subject: [PATCH 2/6] Implement 4bit full adder module. --- adder.v | 47 +++++++++++++++++++++++++++++++++++------------ 1 file changed, 35 insertions(+), 12 deletions(-) diff --git a/adder.v b/adder.v index fa33020..b8f331c 100644 --- a/adder.v +++ b/adder.v @@ -1,19 +1,9 @@ `define AND and #50 `define XOR xor #50 `define OR or #50 +`define BUF buf #50 -module FullAdder4bit -( - output[3:0] sum, // 2's complement sum of a and b - output carryout, // Carry out of the summation of a and b - output overflow, // True if the calculation resulted in an overflow - input[3:0] a, // First operand in 2's complement format - input[3:0] b // Second operand in 2's complement format -); - // Your Code Here -endmodule - -module structuralFullAdder +module FullAdder1bit ( output sum, output carryout, @@ -32,4 +22,37 @@ module structuralFullAdder `AND sumABandCin(cout2, sumAB, carryin); `OR orcarries(carryout, cout1, cout2); +endmodule + +module FullAdder4bit +( + output[3:0] sum, // 2's complement sum of a and b + output carryout, // Carry out of the summation of a and b + output overflow, // True if the calculation resulted in an overflow + input[3:0] a, // First operand in 2's complement format + input[3:0] b // Second operand in 2's complement format +); + reg a0, b0, carryin0; + wire carryout0; + FullAdder1bit adder0 (sum[0], carryout0, a0, b0, carryin0); + + reg a1, b1; + wire carryout1; + FullAdder1bit adder1 (sum[1], carryout1, a1, b1, carryout0); + + reg a2, b2; + wire carryout2; + FullAdder1bit adder2 (sum[2], carryout2, a2, b2, carryout1); + + reg a3, b3; + FullAdder1bit adder3 (sum[3], carryout, a3, b3, carryout2); + + `BUF buffer(overflow, carryout); + + initial begin + a0 = a[0]; b0 = b[0]; carryin0 = 0; + a1 = a[1]; b1 = b[1]; + a2 = a[2]; b2 = b[2]; + a3 = a[3]; b3 = b[3]; + end endmodule \ No newline at end of file From 62d49359787007dc7e6f3f688cd959cbb92e7236 Mon Sep 17 00:00:00 2001 From: arianaolson419 Date: Sat, 23 Sep 2017 16:14:17 -0400 Subject: [PATCH 3/6] Begin testbench. --- adder.t.v | 36 ++++++++++++++++++++++++++++++++++++ adder.v | 3 ++- 2 files changed, 38 insertions(+), 1 deletion(-) diff --git a/adder.t.v b/adder.t.v index e69de29..e953a6c 100644 --- a/adder.t.v +++ b/adder.t.v @@ -0,0 +1,36 @@ +// Adder testbench +`timescale 1 ns / 1 ps +`include "adder.v" + +module testFullAdder(); + reg [3:0] a; + reg [3:0] b; + wire [3:0] sum; + wire carryout, overflow; + + // behavioralFullAdder adder (sum, carryout, a, b, carryin); + FullAdder4bit adder (sum[3:0], carryout, overflow, a[3:0], b[3:0]); // Swap after testing + + initial begin + // $dumpfile("adder.vcd"); + // $dumpvars(); + $display("A B Cin | Cout S | Expected Output"); + a=0000;b=0000; #1000 + $display("%b %b %b | %b %b | Both false, total = 0", a, b, overflow, carryout, sum); + // a=1;b=0; #1000 + // $display("%b %b %b | %b %b | S only, total = 1", a, b, overflow, carryout, sum); + // a=0;b=1; #1000 + // $display("%b %b %b | %b %b | S only, total = 1", a, b, overflow, carryout, sum); + // a=0;b=0; #1000 + // $display("%b %b %b | %b %b | S only, total = 1", a, b, overflow, carryout, sum); + // a=1;b=1; #1000 + // $display("%b %b %b | %b %b | Cout only, total = 2", a, b, overflow, carryout, sum); + // a=1;b=0; #1000 + // $display("%b %b %b | %b %b | Cout only, total = 2", a, b, overflow, carryout, sum); + // a=0;b=1; #1000 + // $display("%b %b %b | %b %b | Cout only, total = 2", a, b, overflow, carryout, sum); + // a=1;b=1; #1000 + // $display("%b %b %b | %b %b | Both true, total = 3", a, b, overflow, carryout, sum); + // $finish(); + end +endmodule \ No newline at end of file diff --git a/adder.v b/adder.v index b8f331c..fd9b827 100644 --- a/adder.v +++ b/adder.v @@ -48,11 +48,12 @@ module FullAdder4bit FullAdder1bit adder3 (sum[3], carryout, a3, b3, carryout2); `BUF buffer(overflow, carryout); - + initial begin a0 = a[0]; b0 = b[0]; carryin0 = 0; a1 = a[1]; b1 = b[1]; a2 = a[2]; b2 = b[2]; a3 = a[3]; b3 = b[3]; end + endmodule \ No newline at end of file From aeeb2116ecaeeaf4c95c249c685cb942bccdad49 Mon Sep 17 00:00:00 2001 From: arianaolson419 Date: Sat, 23 Sep 2017 16:59:56 -0400 Subject: [PATCH 4/6] Implement test cases for 4bit full adder. --- adder.t.v | 61 ++++++++++----- adder.v | 22 ++---- adder.vcd | 223 ++++++++++++++++++++++++++++++++++++++++++++++++++++++ 3 files changed, 271 insertions(+), 35 deletions(-) create mode 100644 adder.vcd diff --git a/adder.t.v b/adder.t.v index e953a6c..2692317 100644 --- a/adder.t.v +++ b/adder.t.v @@ -2,7 +2,7 @@ `timescale 1 ns / 1 ps `include "adder.v" -module testFullAdder(); +module testFullAdder4bit(); reg [3:0] a; reg [3:0] b; wire [3:0] sum; @@ -14,23 +14,48 @@ module testFullAdder(); initial begin // $dumpfile("adder.vcd"); // $dumpvars(); - $display("A B Cin | Cout S | Expected Output"); - a=0000;b=0000; #1000 - $display("%b %b %b | %b %b | Both false, total = 0", a, b, overflow, carryout, sum); - // a=1;b=0; #1000 - // $display("%b %b %b | %b %b | S only, total = 1", a, b, overflow, carryout, sum); - // a=0;b=1; #1000 - // $display("%b %b %b | %b %b | S only, total = 1", a, b, overflow, carryout, sum); - // a=0;b=0; #1000 - // $display("%b %b %b | %b %b | S only, total = 1", a, b, overflow, carryout, sum); - // a=1;b=1; #1000 - // $display("%b %b %b | %b %b | Cout only, total = 2", a, b, overflow, carryout, sum); - // a=1;b=0; #1000 - // $display("%b %b %b | %b %b | Cout only, total = 2", a, b, overflow, carryout, sum); - // a=0;b=1; #1000 - // $display("%b %b %b | %b %b | Cout only, total = 2", a, b, overflow, carryout, sum); - // a=1;b=1; #1000 + $display(" A B | Cout Overflow S | Expected Output"); + a='b0000;b='b0000; #1000 + $display("%b %b | %b %b %b | Cout: 0 Overflow: 0 S: 0000 ", a, b, carryout, overflow, sum); + a='b1111;b='b1111; #1000 + $display("%b %b | %b %b %b | Cout: 1 Overflow: 1 S: 1110 ", a, b, carryout, overflow, sum); + a='b1111;b='b0000; #1000 + $display("%b %b | %b %b %b | Cout: 0 Overflow: 0 S: 1111 ", a, b, carryout, overflow, sum); + a='b0101;b='b0011; #1000 + $display("%b %b | %b %b %b | Cout: 0 Overflow: 1 S: 1000 ", a, b, carryout, overflow, sum); // $display("%b %b %b | %b %b | Both true, total = 3", a, b, overflow, carryout, sum); // $finish(); end -endmodule \ No newline at end of file +endmodule + + +// module testFullAdder1bit(); +// reg a, b, carryin; +// wire sum, carryout; + +// // behavioralFullAdder adder (sum, carryout, a, b, carryin); +// FullAdder1bit adder (sum, carryout, a, b, carryin); // Swap after testing + +// initial begin +// $dumpfile("adder.vcd"); +// $dumpvars(); +// $display("A B Cin | Cout S | Expected Output"); +// a=0;b=0;carryin=0; #1000 +// $display("%b %b %b | %b %b | Both false, total = 0", a, b, carryin, carryout, sum); +// a=1;b=0;carryin=0; #1000 +// $display("%b %b %b | %b %b | S only, total = 1", a, b, carryin, carryout, sum); +// a=0;b=1;carryin=0; #1000 +// $display("%b %b %b | %b %b | S only, total = 1", a, b, carryin, carryout, sum); +// a=0;b=0;carryin=1; #1000 +// $display("%b %b %b | %b %b | S only, total = 1", a, b, carryin, carryout, sum); +// a=1;b=1;carryin=0; #1000 +// $display("%b %b %b | %b %b | Cout only, total = 2", a, b, carryin, carryout, sum); +// a=1;b=0;carryin=1; #1000 +// $display("%b %b %b | %b %b | Cout only, total = 2", a, b, carryin, carryout, sum); +// a=0;b=1;carryin=1; #1000 +// $display("%b %b %b | %b %b | Cout only, total = 2", a, b, carryin, carryout, sum); +// a=1;b=1;carryin=1; #1000 +// $display("%b %b %b | %b %b | Both true, total = 3", a, b, carryin, carryout, sum); +// $finish(); +// end +// endmodule \ No newline at end of file diff --git a/adder.v b/adder.v index fd9b827..2f53d25 100644 --- a/adder.v +++ b/adder.v @@ -1,7 +1,6 @@ `define AND and #50 `define XOR xor #50 `define OR or #50 -`define BUF buf #50 module FullAdder1bit ( @@ -32,28 +31,17 @@ module FullAdder4bit input[3:0] a, // First operand in 2's complement format input[3:0] b // Second operand in 2's complement format ); - reg a0, b0, carryin0; wire carryout0; - FullAdder1bit adder0 (sum[0], carryout0, a0, b0, carryin0); + FullAdder1bit adder0 (sum[0], carryout0, a[0], b[0], 1'b0); - reg a1, b1; wire carryout1; - FullAdder1bit adder1 (sum[1], carryout1, a1, b1, carryout0); + FullAdder1bit adder1 (sum[1], carryout1, a[1], b[1], carryout0); - reg a2, b2; wire carryout2; - FullAdder1bit adder2 (sum[2], carryout2, a2, b2, carryout1); + FullAdder1bit adder2 (sum[2], carryout2, a[2], b[2], carryout1); - reg a3, b3; - FullAdder1bit adder3 (sum[3], carryout, a3, b3, carryout2); + FullAdder1bit adder3 (sum[3], carryout, a[3], b[3], carryout2); - `BUF buffer(overflow, carryout); + `XOR oveflowdetection(overflow, carryout, carryout2); - initial begin - a0 = a[0]; b0 = b[0]; carryin0 = 0; - a1 = a[1]; b1 = b[1]; - a2 = a[2]; b2 = b[2]; - a3 = a[3]; b3 = b[3]; - end - endmodule \ No newline at end of file diff --git a/adder.vcd b/adder.vcd new file mode 100644 index 0000000..1bcada5 --- /dev/null +++ b/adder.vcd @@ -0,0 +1,223 @@ +$date + Sat Sep 23 16:40:40 2017 +$end +$version + Icarus Verilog +$end +$timescale + 1ps +$end +$scope module testFullAdder1bit $end +$var wire 1 ! sum $end +$var wire 1 " carryout $end +$var reg 1 # a $end +$var reg 1 $ b $end +$var reg 1 % carryin $end +$scope module adder $end +$var wire 1 # a $end +$var wire 1 $ b $end +$var wire 1 % carryin $end +$var wire 1 " carryout $end +$var wire 1 & cout1 $end +$var wire 1 ' cout2 $end +$var wire 1 ! sum $end +$var wire 1 ( sumAB $end +$upscope $end +$upscope $end +$scope module testFullAdder4bit $end +$var wire 4 ) sum [3:0] $end +$var wire 1 * overflow $end +$var wire 1 + carryout $end +$var reg 4 , a [3:0] $end +$var reg 4 - b [3:0] $end +$scope module adder $end +$var wire 4 . a [3:0] $end +$var wire 4 / b [3:0] $end +$var wire 1 * overflow $end +$var wire 4 0 sum [3:0] $end +$var wire 1 1 carryout2 $end +$var wire 1 2 carryout1 $end +$var wire 1 3 carryout0 $end +$var wire 1 + carryout $end +$scope module adder0 $end +$var wire 1 4 a $end +$var wire 1 5 b $end +$var wire 1 6 carryin $end +$var wire 1 3 carryout $end +$var wire 1 7 cout1 $end +$var wire 1 8 cout2 $end +$var wire 1 9 sum $end +$var wire 1 : sumAB $end +$upscope $end +$scope module adder1 $end +$var wire 1 ; a $end +$var wire 1 < b $end +$var wire 1 3 carryin $end +$var wire 1 2 carryout $end +$var wire 1 = cout1 $end +$var wire 1 > cout2 $end +$var wire 1 ? sum $end +$var wire 1 @ sumAB $end +$upscope $end +$scope module adder2 $end +$var wire 1 A a $end +$var wire 1 B b $end +$var wire 1 2 carryin $end +$var wire 1 1 carryout $end +$var wire 1 C cout1 $end +$var wire 1 D cout2 $end +$var wire 1 E sum $end +$var wire 1 F sumAB $end +$upscope $end +$scope module adder3 $end +$var wire 1 G a $end +$var wire 1 H b $end +$var wire 1 1 carryin $end +$var wire 1 + carryout $end +$var wire 1 I cout1 $end +$var wire 1 J cout2 $end +$var wire 1 K sum $end +$var wire 1 L sumAB $end +$upscope $end +$upscope $end +$upscope $end +$enddefinitions $end +#0 +$dumpvars +xL +xK +xJ +xI +0H +0G +xF +xE +xD +xC +0B +0A +x@ +x? +x> +x= +0< +0; +x: +x9 +x8 +x7 +06 +05 +04 +x3 +x2 +x1 +bx 0 +b0 / +b0 . +b0 - +b0 , +x+ +x* +bx ) +x( +x' +x& +0% +0$ +0# +x" +x! +$end +#50000 +0: +07 +0@ +0= +0F +0C +0L +0I +08 +0' +0& +0( +#100000 +bx0 ) +bx0 0 +09 +0> +0D +0J +03 +0" +0! +#150000 +02 +01 +0+ +bx00 ) +bx00 0 +0? +#200000 +0E +b0 ) +b0 0 +0K +0* +#1000000 +1# +#1050000 +1( +#1100000 +1! +#2000000 +1$ +0# +#3000000 +1% +0$ +#3050000 +0! +1' +0( +#3100000 +1" +1! +0' +#3150000 +0" +#4000000 +0% +1$ +1# +#4050000 +0! +1& +#4100000 +1" +#5000000 +1% +0$ +#5050000 +1! +1( +0& +#5100000 +0! +1' +0" +#5150000 +1" +#6000000 +1$ +0# +#7000000 +1# +#7050000 +0( +1& +#7100000 +1! +0' +#8000000 From 80443149565dc80751cd5e6bfcec373dce9ec90d Mon Sep 17 00:00:00 2001 From: Prava Dhulipalla Date: Tue, 26 Sep 2017 17:50:18 -0400 Subject: [PATCH 5/6] Final Write-up for Lab0 --- Lab0 Writeup.pdf | Bin 0 -> 817642 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 Lab0 Writeup.pdf diff --git a/Lab0 Writeup.pdf b/Lab0 Writeup.pdf new file mode 100644 index 0000000000000000000000000000000000000000..3f6b1cfe143161d1fad9c2211efde41188d938dc GIT binary patch literal 817642 zcmc$G2V4{B)^|`uKtO|l1_kL-1wt>1QUZh~q4$;qf)wdZz(qt#D4}92p8`a0b=GCTWNd5yh3z5 zbhf6J#Ny&~+=?h0go!=M9Ra7~#ct6F^9l*_gXy^C==88O4;`<(cd?wj@qILge? z)}D?RjJ1o7TMO$5UOGPPf2R5I0%7*qdmgJn%Fhb%oJ`sZfVKF-JJi@$r8T&i7=IGI2DqvNiuDeZf4xWYm$VqejQe!;i}_US5HJ z^}Mn1f!p7j8k-oOu|b?MxqFN!;RI9b%i_B?Zd@PPy=N+7Mtkq`{-!P-0f7zGiOtry z6D%f_dc9&=$8&WO41j1G#Wy5`FON5npeIRuNJ#LqW5uJhn0Q|Jn;GAflV~&M%iREs z;kBJ2Apwv?&=36Y;9%?YXLU>2+BhO?93AMuKT=c)o82aowg)+UV5%TC$%RC|WiqxJ zu$(v#!4M9%PWEP4pB)s4jH{!pnj^M?zHQ0!(D4aikH)6FEVeWRzmW&E0>Pf{8wUi- zaey*d4hSzD|G}vaNH87$4?Q4!bo@V$yJ>H0riQ?(sfR5WX$Tfs5U!5cYO}@$P4dUP z)Q@-hgR;|BF||aPeLt5r4;>hMsKS93--CM)@LwZ)z;c)jk|;-qn+SU;TkG4lHV0M< zf5QMDE$i&$0h0LKqr4*v-7kDoYs437}I*WwHSa02fb!6{-wBEpkc8;%3; 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zdtztz=3>&Ll%_tP9ibVh%KfF^vR3hl%3GMZcn=CS!EJP^^k(PG_GRAZX=t)$@#_E-M|u+BJJ3rcXgLoIi!6@=>(Ydo#ca&E^E&kEo(8^W?GK1 z8=X=damb99fV)N6)_4*6E{^Jr%TpHl$P8@PgCgYsmvpjmbInh83|*mZ&5G;tnq&82(x*|pWOHZ3hU zDdOwUgV2c??-B9I1{W3dHT{wl>_zxnBL$-YRb%R}y(9Ct?C~2cH1aJXhN@AVldUwx zHJ287NSq>BUq4_P0($}XetyjvV#5v0tqEK_69;y#zu+3kvqO)wR*)>kOZhEpXL31> zKMEHgcwXBup>4|bTI3|n>Zt1Mw`c^6`{#Re9+3e*S9F9|TD`q%^wVOx*=WS4sQrP~ z$}XcM!NI~vm0KgL%|>cdzKu!dP0(Nhbco4#5XK0UboD$t58JZIw;Hs^o)EU`bka@#(YJH?F$A1O>16rZ5ssAsZy z*SDUFTIb$bS+E~{vb6Eeuj6Oe1l&Ado*w!1;vVCy^`7orqSyH2_%4>I6)dI~4F+*zngj5y)TRRa!scG;wkGV09HW8$46p&byTdV+TI63F% zl;-9YE0`+i2Nb2IWG0v77bzGT0ozLo`r!)E3Wf^CKpd-}ADmg0s$giYpzrCT5N%^_ zVvv-SoSbB20o)v$WRYl^nv{~9n3QH_l$2;`oN8uASVb&Kn=Cnrfl Date: Tue, 26 Sep 2017 17:50:26 -0400 Subject: [PATCH 6/6] Add files for submission. --- adder.t.v | 74 +++--- adder.v | 14 +- adder.vcd | 703 ++++++++++++++++++++++++++++++++++++++------------ waveforms.pdf | Bin 0 -> 9336 bytes 4 files changed, 590 insertions(+), 201 deletions(-) create mode 100644 waveforms.pdf diff --git a/adder.t.v b/adder.t.v index 2692317..0d58178 100644 --- a/adder.t.v +++ b/adder.t.v @@ -2,60 +2,54 @@ `timescale 1 ns / 1 ps `include "adder.v" +// Test a subset of the possible 2^8 inputs of the adder. module testFullAdder4bit(); reg [3:0] a; reg [3:0] b; wire [3:0] sum; wire carryout, overflow; - // behavioralFullAdder adder (sum, carryout, a, b, carryin); - FullAdder4bit adder (sum[3:0], carryout, overflow, a[3:0], b[3:0]); // Swap after testing + FullAdder4bit adder (sum[3:0], carryout, overflow, a[3:0], b[3:0]); initial begin - // $dumpfile("adder.vcd"); - // $dumpvars(); + $dumpfile("adder.vcd"); + $dumpvars(); + + // The 16 chosen test cases that match the inputs to the FPGA board. $display(" A B | Cout Overflow S | Expected Output"); a='b0000;b='b0000; #1000 $display("%b %b | %b %b %b | Cout: 0 Overflow: 0 S: 0000 ", a, b, carryout, overflow, sum); a='b1111;b='b1111; #1000 - $display("%b %b | %b %b %b | Cout: 1 Overflow: 1 S: 1110 ", a, b, carryout, overflow, sum); + $display("%b %b | %b %b %b | Cout: 1 Overflow: 0 S: 1110 ", a, b, carryout, overflow, sum); a='b1111;b='b0000; #1000 $display("%b %b | %b %b %b | Cout: 0 Overflow: 0 S: 1111 ", a, b, carryout, overflow, sum); + a='b0010;b='b0100; #1000 + $display("%b %b | %b %b %b | Cout: 0 Overflow: 0 S: 0110 ", a, b, carryout, overflow, sum); + a='b1110;b='b1100; #1000 + $display("%b %b | %b %b %b | Cout: 1 Overflow: 0 S: 1010 ", a, b, carryout, overflow, sum); + a='b0010;b='b1100; #1000 + $display("%b %b | %b %b %b | Cout: 0 Overflow: 0 S: 1110 ", a, b, carryout, overflow, sum); a='b0101;b='b0011; #1000 - $display("%b %b | %b %b %b | Cout: 0 Overflow: 1 S: 1000 ", a, b, carryout, overflow, sum); - // $display("%b %b %b | %b %b | Both true, total = 3", a, b, overflow, carryout, sum); - // $finish(); + $display("%b %b | %b %b %b | Cout: 0 Overflow: 1 S: 1000 ", a, b, carryout, overflow, sum); + a='b1110;b='b0100; #1000 + $display("%b %b | %b %b %b | Cout: 1 Overflow: 0 S: 0010 ", a, b, carryout, overflow, sum); + a='b1000;b='b0001; #1000 + $display("%b %b | %b %b %b | Cout: 0 Overflow: 0 S: 1001 ", a, b, carryout, overflow, sum); + a='b0101;b='b0010; #1000 + $display("%b %b | %b %b %b | Cout: 0 Overflow: 0 S: 0111 ", a, b, carryout, overflow, sum); + a='b1001;b='b1110; #1000 + $display("%b %b | %b %b %b | Cout: 1 Overflow: 1 S: 0111 ", a, b, carryout, overflow, sum); + a='b1101;b='b1011; #1000 + $display("%b %b | %b %b %b | Cout: 1 Overflow: 0 S: 1000 ", a, b, carryout, overflow, sum); + a='b0111;b='b0011; #1000 + $display("%b %b | %b %b %b | Cout: 0 Overflow: 1 S: 1010 ", a, b, carryout, overflow, sum); + a='b1100;b='b1011; #1000 + $display("%b %b | %b %b %b | Cout: 1 Overflow: 1 S: 0111 ", a, b, carryout, overflow, sum); + a='b0101;b='b0100; #1000 + $display("%b %b | %b %b %b | Cout: 0 Overflow: 1 S: 1001 ", a, b, carryout, overflow, sum); + a='b0110;b='b0100; #1000 + $display("%b %b | %b %b %b | Cout: 0 Overflow: 1 S: 1010 ", a, b, carryout, overflow, sum); + + $finish(); end endmodule - - -// module testFullAdder1bit(); -// reg a, b, carryin; -// wire sum, carryout; - -// // behavioralFullAdder adder (sum, carryout, a, b, carryin); -// FullAdder1bit adder (sum, carryout, a, b, carryin); // Swap after testing - -// initial begin -// $dumpfile("adder.vcd"); -// $dumpvars(); -// $display("A B Cin | Cout S | Expected Output"); -// a=0;b=0;carryin=0; #1000 -// $display("%b %b %b | %b %b | Both false, total = 0", a, b, carryin, carryout, sum); -// a=1;b=0;carryin=0; #1000 -// $display("%b %b %b | %b %b | S only, total = 1", a, b, carryin, carryout, sum); -// a=0;b=1;carryin=0; #1000 -// $display("%b %b %b | %b %b | S only, total = 1", a, b, carryin, carryout, sum); -// a=0;b=0;carryin=1; #1000 -// $display("%b %b %b | %b %b | S only, total = 1", a, b, carryin, carryout, sum); -// a=1;b=1;carryin=0; #1000 -// $display("%b %b %b | %b %b | Cout only, total = 2", a, b, carryin, carryout, sum); -// a=1;b=0;carryin=1; #1000 -// $display("%b %b %b | %b %b | Cout only, total = 2", a, b, carryin, carryout, sum); -// a=0;b=1;carryin=1; #1000 -// $display("%b %b %b | %b %b | Cout only, total = 2", a, b, carryin, carryout, sum); -// a=1;b=1;carryin=1; #1000 -// $display("%b %b %b | %b %b | Both true, total = 3", a, b, carryin, carryout, sum); -// $finish(); -// end -// endmodule \ No newline at end of file diff --git a/adder.v b/adder.v index 2f53d25..7e9ae35 100644 --- a/adder.v +++ b/adder.v @@ -2,6 +2,7 @@ `define XOR xor #50 `define OR or #50 +// Implementation of a 1-bit full adder. module FullAdder1bit ( output sum, @@ -23,6 +24,11 @@ module FullAdder1bit `OR orcarries(carryout, cout1, cout2); endmodule +// Implementation of a 4-bit full adder. Four 1-bit full adders +// are linked together in order to add 4-bit inputs. Each 1-bit +// adder outputs a single bit of the sum, and the carry out of +// each adder becomes the carryin input of the adder for the +// next significant bit. module FullAdder4bit ( output[3:0] sum, // 2's complement sum of a and b @@ -32,16 +38,20 @@ module FullAdder4bit input[3:0] b // Second operand in 2's complement format ); wire carryout0; + wire carryout1; + wire carryout2; + + // The carry in of this adder is always set to 0. FullAdder1bit adder0 (sum[0], carryout0, a[0], b[0], 1'b0); - wire carryout1; FullAdder1bit adder1 (sum[1], carryout1, a[1], b[1], carryout0); - wire carryout2; FullAdder1bit adder2 (sum[2], carryout2, a[2], b[2], carryout1); FullAdder1bit adder3 (sum[3], carryout, a[3], b[3], carryout2); + // An overflow occurs when the final carryout is not equal to the + // carryin of the most significant bit. `XOR oveflowdetection(overflow, carryout, carryout2); endmodule \ No newline at end of file diff --git a/adder.vcd b/adder.vcd index 1bcada5..2b7e87a 100644 --- a/adder.vcd +++ b/adder.vcd @@ -1,5 +1,5 @@ $date - Sat Sep 23 16:40:40 2017 + Tue Sep 26 15:54:01 2017 $end $version Icarus Verilog @@ -7,217 +7,602 @@ $end $timescale 1ps $end -$scope module testFullAdder1bit $end -$var wire 1 ! sum $end -$var wire 1 " carryout $end -$var reg 1 # a $end -$var reg 1 $ b $end -$var reg 1 % carryin $end -$scope module adder $end -$var wire 1 # a $end -$var wire 1 $ b $end -$var wire 1 % carryin $end -$var wire 1 " carryout $end -$var wire 1 & cout1 $end -$var wire 1 ' cout2 $end -$var wire 1 ! sum $end -$var wire 1 ( sumAB $end -$upscope $end -$upscope $end $scope module testFullAdder4bit $end -$var wire 4 ) sum [3:0] $end -$var wire 1 * overflow $end -$var wire 1 + carryout $end -$var reg 4 , a [3:0] $end -$var reg 4 - b [3:0] $end +$var wire 4 ! sum [3:0] $end +$var wire 1 " overflow $end +$var wire 1 # carryout $end +$var reg 4 $ a [3:0] $end +$var reg 4 % b [3:0] $end $scope module adder $end -$var wire 4 . a [3:0] $end -$var wire 4 / b [3:0] $end -$var wire 1 * overflow $end -$var wire 4 0 sum [3:0] $end -$var wire 1 1 carryout2 $end -$var wire 1 2 carryout1 $end -$var wire 1 3 carryout0 $end -$var wire 1 + carryout $end +$var wire 4 & a [3:0] $end +$var wire 4 ' b [3:0] $end +$var wire 1 " overflow $end +$var wire 4 ( sum [3:0] $end +$var wire 1 ) carryout2 $end +$var wire 1 * carryout1 $end +$var wire 1 + carryout0 $end +$var wire 1 # carryout $end $scope module adder0 $end -$var wire 1 4 a $end -$var wire 1 5 b $end -$var wire 1 6 carryin $end -$var wire 1 3 carryout $end -$var wire 1 7 cout1 $end -$var wire 1 8 cout2 $end -$var wire 1 9 sum $end -$var wire 1 : sumAB $end +$var wire 1 , a $end +$var wire 1 - b $end +$var wire 1 . carryin $end +$var wire 1 + carryout $end +$var wire 1 / cout1 $end +$var wire 1 0 cout2 $end +$var wire 1 1 sum $end +$var wire 1 2 sumAB $end $upscope $end $scope module adder1 $end -$var wire 1 ; a $end -$var wire 1 < b $end -$var wire 1 3 carryin $end -$var wire 1 2 carryout $end -$var wire 1 = cout1 $end -$var wire 1 > cout2 $end -$var wire 1 ? sum $end -$var wire 1 @ sumAB $end +$var wire 1 3 a $end +$var wire 1 4 b $end +$var wire 1 + carryin $end +$var wire 1 * carryout $end +$var wire 1 5 cout1 $end +$var wire 1 6 cout2 $end +$var wire 1 7 sum $end +$var wire 1 8 sumAB $end $upscope $end $scope module adder2 $end -$var wire 1 A a $end -$var wire 1 B b $end -$var wire 1 2 carryin $end -$var wire 1 1 carryout $end -$var wire 1 C cout1 $end -$var wire 1 D cout2 $end -$var wire 1 E sum $end -$var wire 1 F sumAB $end +$var wire 1 9 a $end +$var wire 1 : b $end +$var wire 1 * carryin $end +$var wire 1 ) carryout $end +$var wire 1 ; cout1 $end +$var wire 1 < cout2 $end +$var wire 1 = sum $end +$var wire 1 > sumAB $end $upscope $end $scope module adder3 $end -$var wire 1 G a $end -$var wire 1 H b $end -$var wire 1 1 carryin $end -$var wire 1 + carryout $end -$var wire 1 I cout1 $end -$var wire 1 J cout2 $end -$var wire 1 K sum $end -$var wire 1 L sumAB $end +$var wire 1 ? a $end +$var wire 1 @ b $end +$var wire 1 ) carryin $end +$var wire 1 # carryout $end +$var wire 1 A cout1 $end +$var wire 1 B cout2 $end +$var wire 1 C sum $end +$var wire 1 D sumAB $end $upscope $end $upscope $end $upscope $end $enddefinitions $end #0 $dumpvars -xL -xK -xJ -xI -0H -0G -xF -xE xD xC -0B -0A -x@ -x? +xB +xA +0@ +0? x> x= -0< -0; -x: -x9 +x< +x; +0: +09 x8 x7 -06 -05 +x6 +x5 04 -x3 +03 x2 x1 -bx 0 -b0 / -b0 . -b0 - -b0 , +x0 +x/ +0. +0- +0, x+ x* -bx ) -x( -x' -x& -0% -0$ -0# +x) +bx ( +b0 ' +b0 & +b0 % +b0 $ +x# x" -x! +bx ! $end #50000 -0: -07 -0@ -0= -0F -0C -0L -0I +02 +0/ 08 -0' -0& -0( -#100000 -bx0 ) -bx0 0 -09 +05 0> +0; 0D -0J -03 -0" -0! -#150000 -02 +0A +00 +#100000 +bx0 ! +bx0 ( 01 +06 +0< +0B 0+ -bx00 ) -bx00 0 -0? -#200000 -0E -b0 ) -b0 0 -0K +#150000 0* +0) +0# +bx00 ! +bx00 ( +07 +#200000 +0= +b0 ! +b0 ( +0C +0" #1000000 -1# +1- +14 +1: +1@ +1, +13 +19 +1? +b1111 % +b1111 ' +b1111 $ +b1111 & #1050000 -1( +1/ +15 +1; +1A #1100000 -1! +1+ +1* +1) +1# +#1150000 +17 +1= +b1110 ! +b1110 ( +1C #2000000 -1$ +0- +04 +0: +0@ +b0 % +b0 ' +#2050000 +12 +0/ +18 +05 +1> +0; +1D +0A +#2100000 +11 +0+ +07 +16 +0* +0= +1< +0) +b1 ! +b1 ( +0C +1B +0# +#2150000 +17 +06 +1* +1= +0< +1) +b1111 ! +b1111 ( +1C +0B +1# +#2200000 +0* +0= +1< +0) +b11 ! +b11 ( +0C +1B 0# +#2250000 +1= +0< +1) +b1111 ! +b1111 ( +1C +0B +1# +#2300000 +0) +b111 ! +b111 ( +0C +1B +0# +#2350000 +b1111 ! +b1111 ( +1C +0B +1# +#2400000 +0# +1" +#2450000 +0" #3000000 -1% -0$ +1: +0, +09 +0? +b100 % +b100 ' +b10 $ +b10 & #3050000 -0! -1' -0( +02 +0D #3100000 -1" -1! -0' -#3150000 -0" +01 +b110 ! +b110 ( +0C #4000000 -0% -1$ -1# +1@ +19 +1? +b1100 % +b1100 ' +b1110 $ +b1110 & #4050000 -0! -1& +0> +1; 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