Q9

MCQ1 mark, −0.33

When two $8\text{-bit}$ numbers $A_{7}\cdots A_{0}$ and $B_{7}\cdots B_{0}$ in $2$ 's complement representation (with $A_{0}$ and $B_{0}$ as the least significant bits) are added using a ripple-carry adder, the sum bits obtained are $S_{7}\cdots S_{0}$ and the carry bits are $C_{7}\cdots C_{0}$ . An overflow is said to have occurred if

(A)

the carry bit $C_{7}$ is $1$

(B)

all the carry bits $\left ( C_{7},\cdots ,C_{0} \right )$ are $1$

(C)

$\left ( A_{7} \cdot B_{7} \cdot \overline{S_{7}}+\overline{A_{7}} \cdot \overline{B_{7}} \cdot S_{7} \right )$ is $1$

(D)

$\left ( A_{0} \cdot B_{0} \cdot \overline{S_{0}}+\overline{A_{0}} \cdot \overline{B_{0}} \cdot S_{0} \right )$ is $1$

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