Encoding Schemes and Number System · Class 11 · CBSE · Science Computer Science

What is the decimal equivalent of the octal number (157)₈?

Practice question from Encoding Schemes and Number System (Class 11 · CBSE · Science Computer Science), with the correct answer and a step-by-step solution.

easy · MCQ · Q-C2F375

What is the decimal equivalent of the octal number (157)₈?

  1. A.95
  2. B.111Correct answer
  3. C.127
  4. D.157

Solution

Using positional values, (157)8=1×82+5×81+7×80=64+40+7=111(157)_8 = 1 \times 8^2 + 5 \times 8^1 + 7 \times 8^0 = 64 + 40 + 7 = 111.

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