2018
Mathematics
67ca00ce0c643c71d77dee1f
If y = 23five + 101three , find y, leaving your answer in base two
A.
1110
B.
10111
C.
11101
D.
111100
Correct Answer: 10111
Explanation
y = 23five + 101three 23five = 2 × 51 + 3 × 50 = 13ten 101three = 1×32 + 0 × 31 + 1 × 30 = 10ten yten = 13ten + 10ten = 23ten = 10111two
y = 23five + 101three 23five = 2 × 51 + 3 × 50 = 13ten 101three = 1×32 + 0 × 31 + 1 × 30 = 10ten yten = 13ten + 10ten = 23ten = 10111twoTHIS WEEK's
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