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Which of the following represents the binary equivalent of the decimal number 23?

Paper 1 · ICT
Which of the following represents the binary equivalent of the decimal number 23?
A01011
B10111 ✓ Correct
C10011
DNone of the above
Correct answer: (B) 10111 — The binary of 23 is 10111, so that is the answer.
Explanation
The binary of 23 is 10111, so that is the answer.
The number 23 is made of 16 plus 4 plus 2 plus 1.
The place values used are 16, 8, 4, 2 and 1.
Putting ones at 16, 4, 2 and 1 and zero at 8 gives 10111.
A check confirms 16 plus 4 plus 2 plus 1 equals 23.
So the binary equivalent of 23 is 10111.

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