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NDA 2019 Maths · Mathematics · Binary Number System · medium

The value of (10010)2-(111)2 in the binary system is

Single correct option

The value of (10010)2−(111)2(10010)_2-(111)_2 in the binary system is
  1. A. (1101)2(1101)_2
  2. B. (1011)2(1011)_2
  3. C. (1001)2(1001)_2
  4. D. (1111)2(1111)_2
Show answer and solution

Answer: (B) (1011)2(1011)_2

Convert to decimal: (10010)2=16+2=18(10010)_2=16+2=18 and (111)2=7(111)_2=7. The difference is 11=8+2+1=(1011)211=8+2+1=(1011)_2. Direct subtraction with borrowing agrees. The option (1101)2(1101)_2 is 1313, which results from a borrowing error, and (1001)2=9(1001)_2=9 is the result of subtracting 99 instead of 77.
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Original question written in the NDA 2019 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake