Conversion of decimal number 82.67 to its binary equivalent, Computer Engineering

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Conversion of Decimal number 82.67 to its Binary Equivalent

Ans. Firstly see the integer part 82 and determine its binary equivalent as

942_Conversion of Decimal number 82.67 to its Binary Equivalent.png

The Binary equivalent is (1010010)₂

After that taking the fractional part that is, 0.67

Fraction	Fraction X 2	Remainder New Fraction	Integer
0.67	1.34	0.34	1
0.34	0.68	0.68	0
0.68	1.36	0.36	1
0.36	0.72	0.72	0
0.72	1.44	0.44	1
0.44	0.88	0.88	0
0.88	1.76	0.76	1
0.76	1.52	0.52	1

This is seen that, this is impossible to find a zero as remainder still after 8 stages. The process carried on further on an approximation can be completed and the process is ended here.
The binary equivalent is 0.10101011.
Thus, the binary equivalent of decimal number which is 82.67 is (1010010.10101011)₂

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