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GATE 2024 EE – Question 3

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 1 mark · Multiple choice

The decimal number system uses the characters 0, 1, 2, …, 8, 9, and the octal number system uses the characters 0, 1, 2, …, 6, 7.

For example, the decimal number 12 ( = 1 × 10¹ + 2 × 10⁰ ) is expressed as 14 ( = 1 × 8¹ + 4 × 8⁰ ) in the octal number system.

The decimal number 108 in the octal number system is

  1. 168
  2. 108
  3. 150
  4. 154

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Show answer and explanation

Correct answer: (D) 154

Explanation

$108=1\times64+5\times8+4\times1$, so the octal representation is 154.