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Home / Aptitude Tests / Mathematics / Change 432\(_{five}\...
Change 432five  to a number in base three....

Change 432five  to a number in base three.

A.

10100three

B.

11100three

C.

11101three

D.

10110three

Correct answer is B

Convert from base 5 to base 10

432five =  (4 x 52) + (3 x 51) + (2 x 50)

= (4 x 25) + (3 x 5) + (2 x 1)

= 100 + 15 + 2

= 117ten

Then convert from base 10 to base 3

3 117
3 39 r 0
3 13 r 0
3 4 r 1
3 1 r 1
  0 r 1

Selecting the remainders from bottom to top:

117ten = 11100three

Hence; 432five =  11100three