# Convert fraction to binary

1 as your input and follow these steps multiply input by 2 (mult column) take decimal from answer (answer column) as the digit (binary column) take the fraction (fraction column) as the input for the next step repeat steps 1, 2 and 3 until you either get to 0 or a periodic number.

b) convert the fractional part of decimal to binary equivalent multiply the fractional decimal number by 2.

To convert fraction to binary, start with the fraction in question and multiply it by 2 keeping notice of the resulting integer and fractional part. Continue multiplying by 2 until you get a resulting fractional part equal to zero.

2 13 r1 2 6 r0 2 3 r1 2 1 r1 read 0 therefore, 13 10 1101 2 hence, 13. 1011 2 now you try some find the decimal equivalent for each binary fraction.

again, there is a simple step-by-step method for performing the conversion. To begin with we take the decimal fraction and multiply it by two (i. We then take the whole number part of the result as the first binary digit after the radix point.).

after finding the decimal and fraction parts seperately you can convert it to negative by making all 1s to 0s and 0s to 1s. 75 to binary first we need to decide the position of the point and the length of the binary number.

thats why the conversion of fractional numbers often gives us conversion error. The error depends on the number of digits after the point which we decide to use.

First we convert the integer part 0 into binary and then the fractional part.

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