The 8‑bit two's complement binary number $10110110$ is stored in memory.

a) Determine its decimal value.

b) Add to it the 8‑bit two's complement binary number $00101101$ using two's complement arithmetic. State the resulting decimal value and indicate whether an overflow occurred.

Question

The 8‑bit two's complement binary number $10110110$ is stored in memory.

a) Determine its decimal value.

b) Add to it the 8‑bit two's complement binary number $00101101$ using two's complement arithmetic. State the resulting decimal value and indicate whether an overflow occurred.

Accepted Answer

Decimal value = -74; after addition result = -29; overflow = No

Neco 2020 Computer Studies Question 15

The 8‑bit two's complement binary number \(10110110\) is stored in memory. a) Determine its decimal value. b) Add to it the 8‑bit two's complement binary number \(00101101\) using two's complement arithmetic. State the resulting decimal value and indicate whether an overflow occurred.

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