How to convert the following fractional decimal number to binary by using sum of power of 2 method?

1/2=

1/4=

1/8=

1/2=

1/4=

1/8=

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https://stackoverflow.com/questions/4987176/how-do-you-convert-a-fraction-to-binary

How to convert the following fractional decimal number to binary by using sum of power of 2 method?

1/2=

1/4=

1/8=

Please explain

1/2=

1/4=

1/8=

Please explain

ignoring signed values for a moment, each bit represents a power of 2. In normal integers, for example...

000 = 0

001 = 1 (2 to the 0th power is 1)

010 = 2 (2 to the 1 power is 1)

011 = 3 (2 + 1 = 3)

111 = 7 (2 to the 2nd = 4 + 2 to the 1 + 2 to the 0)

and so on.

fractions would work the same way as base 10 except in base 2. So .1 in base 10 is 1/10. .1 in base 2 is 1/2. .01 in base 10 is 1/100. .01 in base 2 is 1/4. Here that is 10*10 and 2*2 respectively.

000 = 0

001 = 1 (2 to the 0th power is 1)

010 = 2 (2 to the 1 power is 1)

011 = 3 (2 + 1 = 3)

111 = 7 (2 to the 2nd = 4 + 2 to the 1 + 2 to the 0)

and so on.

fractions would work the same way as base 10 except in base 2. So .1 in base 10 is 1/10. .1 in base 2 is 1/2. .01 in base 10 is 1/100. .01 in base 2 is 1/4. Here that is 10*10 and 2*2 respectively.

Mr. Jonnin

Thanks for your response.

1/2= 1* 2 power -1 = 0.1

how is possible. Kindly explain simply language

Thanks for your response.

1/2= 1* 2 power -1 = 0.1

how is possible. Kindly explain simply language

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