Answer:
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 ..
