Q. Show procedure of divide the decimal number by 2?
For this procedure (method), divide the decimal number by 2, if the remainder is 0, on the side write down a 0. If the remainder is 1, write down a 1 and this process is continued by dividing the quotient by 2 and dropping the previous remainder until the quotient is 0 and when performing the division, the remainders which will represent the binary equivalent of the decimal number are written beginning at the least significant digit (right) and each new digit is written to more significant digit (the left) of the previous digit. Consider the number as 2671.
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Division
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Quotient
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Remainder
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Binary Number
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2671 / 2
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1335
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1
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1
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1335 / 2
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667
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1
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11
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667 / 2
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333
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1
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111
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333 / 2
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166
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1
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1111
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166 / 2
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83
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0
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0 1111
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83 / 2
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41
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1
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10 1111
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41 / 2
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20
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1
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110 1111
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20 / 2
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10
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0
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0110 1111
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10 / 2
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5
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0
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0 0110 1111
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5 / 2
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2
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1
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10 0110 1111
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2 / 2
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1
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0
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010 0110 1111
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1 / 2
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0
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1
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1010 0110 1111
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