Thursday 28 November 2013

3.MULTIPLIERS



Multiplication is the easy way of addition. For multiplication multipliers are used. It is used in Multipliers and accumulators, Digital signal processing such as convolution, windows techniques, etc. In further coming sessions we are going to see the types of multipliers which are used.
First we are going to see the Simple Multipliers and Array multipliers.

3.1 Simple multiplier:
 module mul(a,b,s);
input [3:0]a;
input [3:0]b;
output [7:0]s;
assign s = a*b;
endcmodule

3.2 ARRAY MULTIPLIER:

module mul (product,inp1,inp2);
output [7:0]product;
input [3:0]inp1;
input [3:0]inp2;
assign product[0]=(inp1[0]&inp2[0]);
wire x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17;
HA HA1(product[1],x1,(inp1[1]&inp2[0]),(inp1[0]&inp2[1]));
FA FA1(x2,x3,inp1[1]&inp2[1],(inp1[0]&inp2[2]),x1);
FA FA2(x4,x5,(inp1[1]&inp2[2]),(inp1[0]&inp2[3]),x3);
HA HA2(x6,x7,(inp1[1]&inp2[3]),x5);
HA HA3(product[2],x15,x2,(inp1[2]&inp2[0]));
FA FA5(x14,x16,x4,(inp1[2]&inp2[1]),x15);
FA FA4(x13,x17,x6,(inp1[2]&inp2[2]),x16);
FA FA3(x9,x8,x7,(inp1[2]&inp2[3]),x17);
HA HA4(product[3],x12,x14,(inp1[3]&inp2[0]));
FA FA8(product[4],x11,x13,(inp1[3]&inp2[1]),x12);
FA FA7(product[5],x10,x9,(inp1[3]&inp2[2]),x11);
FA FA6(product[6],product[7],x8,(inp1[3]&inp2[3]),x10);
Endmodule
module HA(sout,cout,a,b);
output sout,cout;
input a,b;
assign sout=a^b;
assign cout=(a&b);
endmodule

module FA(sout,cout,a,b,cin);
output sout,cout;
input a,b,cin;
assign sout=(a^b^cin);
assign cout=((a&b)|(a&cin)|(b&cin));
endmodule