Summary

How to convert decimal to binary

• Index
  • Separate sign and absolute
  • Convert the integer part
  • Convert the fractional part
  • Result

Separate sign and absolute

Example Decimal Number = 24.3125

24.25 = 24 + 0.3125

Convert the integer part

24 / 2 = 12

remainder = 0

12 / 2 = 6

remainder = 0

6 / 2 = 3

remainder = 0

3 / 2 = 1

remainder = 1

1 / 2 = 0

remainder = 1

24(10) = 11000(2)

Convert the fractional part

0.3125 x 2 = 0.625

greater than 1? -> no (0)

0.625 x 2 = 1.25

greater than 1? -> yes (1)

1.25 - 1 = 0.25

0.25 x 2 = 0.5

greater than 1? -> no (0)

0.5 x 2 = 1

equal to 1? -> yes (1)

stop

0.3125(10) = 0.0101(2)

Result

24.3125(10) = 11000.0101(2)