Convert decimal number 126.375 to binary (3 bits after binary point)

126.375 in binary is: 1111110.011

Explanation:

In order to convert a decimal number to binary number system, the integral part is converted using the division and remainder method while the fractional part is multiplied with 2 and the integral part of answer is noted down. The fractional part is again multiplied with 2 and so on.

For 126.375

2         126

2          63 - 0

2          31 - 1

2          15 - 1

2            7 - 1

2            3 - 1

              1 - 1

So, 126 = 1111110

For 0.375

0.375 * 2 = 0.75

0.75 * 2 = 1.5

0.5 * 2 = 1.0

As we had to only find 3 digits after binary point, so

0.375 = 011

So 126.375 in binary is: 1111110.011 ..