Half Subtractor

The half subtractor works opposite to the half adder as it substracts two single bits and results in a difference bit and borrow bit as an output.

Block Diagram

Truth Table

Output:
D = A ^ B
B = A’ · B

As half subtractor considers only two bits so along with the subtraction of two single bits, it can not accommodate an extra borrow bit from the previously generated result. Hence, it is called a half-subtractor. A full subtractor is designed to accommodate the extra borrow bit from the previous stage.

Half Subtractor Verilog Code

module half_subtractor(input a, b, output D, B);
  assign D = a ^ b;
  assign B = ~a & b;
endmodule

Testbench Code

module tb_top;
  reg a, b;
  wire D, B;
  
  half_subtractor hs(a, b, D, B);
  
  initial begin
    $monitor("At time %0t: a=%b b=%b, difference=%b, borrow=%b",$time, a,b,D,B);
    a = 0; b = 0;
    #1;
    a = 0; b = 1;
    #1;
    a = 1; b = 0;
    #1;
    a = 1; b = 1;
  end
endmodule

Output:

At time 0: a=0 b=0, difference=0, borrow=0
At time 1: a=0 b=1, difference=1, borrow=1
At time 2: a=1 b=0, difference=1, borrow=0
At time 3: a=1 b=1, difference=0, borrow=0

Verilog Codes