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NDA 2023 Maths · Mathematics · Binary Number System · easy

The decimal equivalent of the binary number 1101101 is

Single correct option

The decimal equivalent of the binary number 11011011101101 is
  1. A. 107107
  2. B. 109109
  3. C. 111111
  4. D. 9393
Show answer and solution

Answer: (B) 109109

Place values from the right are 1,2,4,8,16,32,641,2,4,8,16,32,64. The digits 11011011101101 select 64+32+8+4+1=10964+32+8+4+1=109. If a place value is skipped or the digits are read from the wrong end, one gets answers like 107107 or 9393.
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Original question written in the NDA 2023 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