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Binary Number System Fundamentals

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Questions and Answers

What is the difference (d) of the half subtractor in terms of A and B?

d = A⊕B = A’B + AB’

What is the borrow (b) of the half subtractor in terms of A and B?

b = A’B

What is the limitation of using a half subtractor in binary subtraction?

It can only be used to find the difference of LSBs (Least Significant Bits) of two binary numbers.

What are the three inputs to a full subtractor?

A, B, and bin Signup and view all the answers

What are the two outputs of a full subtractor?

d (difference) and b (borrow) Signup and view all the answers

How is the difference (d) of the full subtractor calculated?

d = A⊕B⊕bin Signup and view all the answers

What is the purpose of the bin input in a full subtractor?

It is the borrow produced by the previous stage. Signup and view all the answers

Why is a full subtractor necessary for binary subtraction?

It can handle the borrow produced during the subtraction of the LSBs. Signup and view all the answers

What is the difference between a half subtractor and a full subtractor?

A half subtractor has two inputs and two outputs, while a full subtractor has three inputs and two outputs. Signup and view all the answers

What is the role of the borrow output (b) in a full subtractor?

It affects the subtraction of the next bits of numbers. Signup and view all the answers

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