Question 7.6: Convert decimal 23 into its binary equivalent number.

Convert decimal 23 into its binary equivalent number.

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Remainder

Divide 23 by 2 2|\underset{11}{\underline{23} } 1
Divide 11 by 2 2|\underset{5}{\underline{11} } 1
Divide 5 by 2 2|\underset{2}{\underline{5} } 1
Divide 2 by 2 2|\underset{1}{\underline{2} } 0
Divide 1 by 2 2|\underset{0}{\underline{1} } 1

Now we will arrange the remainders in the reverse order, i.e., from bottom upwards. The binary equivalent number is 10111

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