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Half Subtractor in Digital Logic

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  • Difficulty Level : Easy
  • Last Updated : 16 Jun, 2022

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 :

 halfsub   

Truth Table :

 hs_truthtable  

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

Diff= A’B+AB’
Borrow = A’B

 Implementation :

halfadder    

Logical Expression :

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

 Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.

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