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NIMCET 2011 Computer PYQ — When two binary numbers are added, then an overflow will never oc… | Mathem Solvex

A.
Both numbers of same sign
B.
The carry into the sign bit position and out of sign bit position are not equal
C.
The carry into the sign bit position and out of sign bit position are equal
(Correct Answer)
D.
The carry into the sign bit position is 1

Correct Answer:

The carry into the sign bit position and out of sign bit position are equal

Explanation

Solution:

Let $C_{in}$ be the carry into the sign bit (MSB) and $C_{out}$ be the carry out of the sign bit.
Overflow condition: $V = C_{in} \oplus C_{out}$
If $C_{in} \neq C_{out}$ , then $V = 1$ (Overflow occurs).
If $C_{in} = C_{out}$ , then $V = 0$ (No Overflow).
Overflow can only occur when adding two numbers of the same sign if the result has the opposite sign. It never occurs when adding numbers of opposite signs.

Correct Option: (c)

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NIMCET 2011 — Computer PYQ

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Explanation

Explanation