Consider the 8-bit signed integers 𝑋,π‘Œ and 𝑍 represented using the…

GATE Β· 2026 Β· CS Β· Set 1 Β· Computer Science & IT

Consider the 8-bit signed integers 𝑋,π‘Œ and 𝑍 represented using the sign-magnitude form. The binary representations of 𝑋 and π‘Œ are as follows:

X: 10110100 π‘Œ: 01001100

Which of the following operations to compute 𝑍 result(s) in an arithmetic overflow?

  1. A.

    Z=𝑋+π‘Œ

  2. B.

    Z=𝑋-π‘Œ

  3. C.

    Z=-𝑋+π‘Œ

  4. D.

    Z=-𝑋-π‘Œ

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