Multiple choice

In a number system, 11 is equivalent to 6 of decimal number system. What is the base of the number system of 11?

  1. 2

  2. 10

  3. 6

  4. 5

  5. 4
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D Correct answer
Explanation

The positional weight of digits in a number in a number system with base n are given by 1, n, n2 ....... etc. starting from rightmost place moving one place leftward. So, 11 = n + 1 in decimal system where n is the base of the number system of 11. Thus, n + 1 = 6 as per the question. Hence, n = 5

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