passpadi

2018

Mathematics

JAMB

If y = 23five + 101three , find y, leaving your answer in base two

A.

1110

B.

10111

C.

11101

D.

111100

Correct Answer: 10111

Explanation

y = 23five + 101three 23five = 2 × 51 + 3 × 50 = 13ten 101three = 1×32 + 0 × 31 + 1 × 30 = 10ten yten = 13ten + 10ten = 23ten = 10111two

y = 23five + 101three 23five = 2 × 51 + 3 × 50 = 13ten 101three = 1×32 + 0 × 31 + 1 × 30 = 10ten yten = 13ten + 10ten = 23ten = 10111two
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