Question on: JAMB Mathematics - 2018

if y = 23\(_{five}\) + 101\(_{three}\) find y leaving your answer in base two

A
1110
B
10111
C
11101
D
111100
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Correct Option: B

Convert the numbers to base ten

  23\(_{five}\)= 2 x 51 + 3 x 50

  = 10 + 3 = 13

  101\(_{five}\) = (1 x 32) + (0 x 31) + (1 x 30)

  = 9 + 0 + 1 = 10

  So, y = 13 + 10 = 23

Y = 23

  = 10111\(_{five}\)

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