Show procedure of divide the decimal number by 2, Electrical Engineering

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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.

Division

Quotient

Remainder

Binary Number

2671 / 2

1335

1

1

1335 / 2

667

1

11

667 / 2

333

1

111

333 / 2

166

1

1111

166 / 2

83

0

0 1111

83 / 2

41

1

10 1111

41 / 2

20

1

110 1111

20 / 2

10

0

0110 1111

10 / 2

5

0

0 0110 1111

5 / 2

2

1

10 0110 1111

2 / 2

1

0

010 0110 1111

1 / 2

0

1

1010 0110 1111

 


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