ISRO | ISRO CS 2013 | Question 13

The number 1102 in base 3 is equivalent to 123 in which base system?
(A) 4
(B) 5
(C) 6
(D) 8

Answer: (B)
Explanation: Let us consider the base be ‘x’.
(1102)₃ = (123)_x
= 1x3x3x3 + 1x3x3 + 2 = 1x₂ + 2x + 3
= 27 + 9 + 2 = 1x₂ + 2x + 3
= x = 5
Correct option is (B)

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