PrepRung
Sign inSign up free

NDA 2018 Maths · Mathematics · Binary Number System · hard

What is the product (1011)2×(101)2 in binary?

Single correct option

What is the product (1011)2×(101)2(1011)_2\times(101)_2 in binary?
  1. A. (110111)2(110111)_2
  2. B. (101111)2(101111)_2
  3. C. (111001)2(111001)_2
  4. D. (110011)2(110011)_2
Show answer and solution

Answer: (A) (110111)2(110111)_2

(1011)2=11(1011)_2=11 and (101)2=5(101)_2=5, product 55=32+16+4+2+1=(110111)255=32+16+4+2+1=(110111)_2. Alternatively add 1011×41011\times4 (101100101100) and 10111011 (001011001011) which gives 110111110111. Carry errors in the addition produce the distractors.
Report a mistake

Original question written in the NDA 2018 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