(a) Design a half-subtractor circuit with inputs x and y and outputs Diff and B out . The circuit subtracts the bits x − y and places the difference in D and the borrow in B out .(b) Design a full-subtractor circuit with three inputs x, y, B in and two outputs Diff and B out . The circuit subtracts x − y − B in , where B in is the input borrow, B out is the output borrow, and Diff is the difference.

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(a) Design a half-subtractor circuit with inputs x and y and outputs Diff and B out . The circuit subtracts the bits x − y and places the difference in D and the borrow in B out .
(b) Design a full-subtractor circuit with three inputs x, y, B in and two outputs Diff and B out . The circuit subtracts x − y − B in , where B in is the input borrow, B out is the output borrow, and Diff is the difference.

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Half Subtractor circuit:-
half subtractor is difference and borrows combination circuit consists of two inputs and two outputs. 
The output (Borrow) shows whether has been borrowed, as well as the difference in the two binary bits input. 
is referred to as Minuend bit in the subtraction (A-B), and is referred to as Subtrahend bit.
Step 2

a)

The truth table for the half subtractor is shown below,

Electrical Engineering homework question answer, step 2, image 1

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