GATE CS 2022 Set 1 — Question 18
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Digital Logic → Number Systems & Arithmetic → Binary Arithmetic & Overflow
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Question
Let R1 and R2 be two 4-bit registers that store numbers in 2’s complement form. For the operation R1+R2, which one of the following values of R1 and R2 gives an arithmetic overflow?
Correct answer
(B) R1 = 1100 and R2 = 1010
Solution
In 4-bit 2's complement representation, the range of values is to .
Overflow occurs when adding two numbers of the same sign results in a number of the opposite sign.(A) . Discard carry . Correct.
(B) . Discard carry . Incorrect. Negative + Negative = Positive implies Overflow.
(C) . Correct.
(D) . Discard carry . Correct.
Overflow occurs when adding two numbers of the same sign results in a number of the opposite sign.(A) . Discard carry . Correct.
(B) . Discard carry . Incorrect. Negative + Negative = Positive implies Overflow.
(C) . Correct.
(D) . Discard carry . Correct.
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