Q203 / 270 · NDA 2022 (Phase 1) · Mathematics

What is $(1110011)_2 \div(10111)_2$ equal to?

  • Correct answer
    A
    $(101)_2$
  • B
    $(1001)_2$
  • C
    $(111)_2$
  • D
    $(1011)_2$

Solution

$\begin{aligned} & (1110011)_2=1 \times 2^6+1 \times 2^5+1 \times 2^4+2^1+2^0 \\ & =64+32+16+2+1=115 \\ & (10111)_2=1 \times 2^4+1 \times 2^2+1 \times 2^1+1 \times 2^0 \\ & =16+4+2+1=23 \\ & \therefore(1110011)_2 \div(10111)_2=115 \div 23=5\end{aligned}$ Figure

Hence, the correct answer is option: 'A'.

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