NIMCET 2024 — Computer PYQ

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Question

NIMCET 2024 — Computer PYQ

NIMCET | Computer | 2024

The quotient, if the binary numebr 11010111 is divided by 101, is___

Choose the correct answer:

Explanation

The correct answer is (A) $101011$ .

\require{enclose} \begin{array}{rll} 101011 && \text{(Quotient)} \\[-3pt] 101 \enclose{longdiv}{11010111} && \\[-3pt] \underline{-101\phantom{00000}} && \\[-3pt] 0011\phantom{0000} && \\[-3pt] \underline{-000\phantom{0000}} && \\[-3pt] 110\phantom{000} && \\[-3pt] \underline{-101\phantom{000}} && \\[-3pt] 0011\phantom{00} && \\[-3pt] \underline{-000\phantom{00}} && \\[-3pt] 111\phantom{0} && \\[-3pt] \underline{-101\phantom{0}} && \\[-3pt] 0101 && \\[-3pt] \underline{-101} && \\[-3pt] 0 && \text{(Remainder)} \end{array}

Verification (Decimal):

Dividend: $(11010111)_2 = 215_{10}$
Divisor: $(101)_2 = 5_{10}$
$215 \div 5 = 43$
Quotient: $(43)_{10} = (101011)_2$