Half Subtractor in Digital Logic

Half Subtractor (HS): Half subtractor is a combination circuit with two inputs and two outputs which is difference and borrow. It produces the difference between the two binary bits at the input and also produces an output (Borrow) to indicate if a 1 has been borrowed. In the subtraction (A-B), A is called a Minuend bit and B is called as Subtrahend bit.

Block diagram :

Truth Table :

The SOP form of the Diff and Borrow is as follows:

Diff= A’B+AB’
Borrow = A’B

 Implementation :

Logical Expression :

Difference = A XOR B
Borrow = \overline{A}B

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