If y = 23\(_{five}\) + 101\(_{three}\) , find y, leaving your answer in base two
A
1110
B
10111
C
11101
D
111100
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
y = 23\(_{five}\) + 101\(_{three}\)
23\(_{five}\) = \(2 \times 5^1 + 3 \times 5^0\)
= 13\(_{ten}\)
101\(_{three}\) = \(1 \times 3^2 + 0 \times 3^1 + 1 \times 3^0\)
= 10\(_{ten}\)
y\(_{ten}\) = 13\(_{ten}\) + 10\(_{ten}\)
= 23\(_{ten}\)
= 10111\(_{two}\)
Source: Myschool Past Questions Archive (Record #46982)