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

Correct Answer: Option B

Explanation

First we 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

  To convert 23 to base 2 (as in the diagram above)

Y = 23

  = 10111(_{five})

Answer is B

There is an explanation video available below.