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Question

What is the binary equivalent of the decimal number 45?

The correct answer is

101101

Divide 45 repeatedly by 2 and note the remainders.

45 ÷ 2 = 22 r 1; 22 ÷ 2 = 11 r 0; 11 ÷ 2 = 5 r 1; 5 ÷ 2 = 2 r 1; 2 ÷ 2 = 1 r 0; 1 ÷ 2 = 0 r 1.

Reading the remainders from bottom to top gives 101101.

Check: \(32 + 8 + 4 + 1 = 45\).

Hence, the answer is 101101.

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