if y = 23\(_{five}\) + 101\(_{three}\) find y leaving your a...
if y = 23\(_{five}\) + 101\(_{three}\) find y leaving your answer in base two
A.
1110
B.
10111
C.
11101
D.
111100
Correct answer is B
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
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