passpadi

2018

Mathematics

JAMB

Calculate 243six – 243five expressing your answer in base 10

A.

0

B.

1

C.

26

D.

46

Correct Answer: 26

Explanation

Since they are of different base, convert to base 10 243six = (2 x 62) + (4 x 61) + (3 x 60) = 72 + 24 + 3 = 99 base 10 243six = 2 x 52 + 4 x 51 +3 x 50 50 + 20 + 3 = 73 base 10 Subtracting them, 99 - 73 = 26

Since they are of different base, convert to base 10 243six = (2 x 62) + (4 x 61) + (3 x 60) = 72 + 24 + 3 = 99 base 10 243six = 2 x 52 + 4 x 51 +3 x 50 50 + 20 + 3 = 73 base 10 Subtracting them, 99 - 73 = 26
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