0.125 in Binary
What is 0.125 in Binary?
The decimal value 0.125 can be represented in binary as 0.001. This is because binary is a base-2 number system that uses only two digits: 0 and 1.
How to Convert 0.125 to Binary
To convert 0.125 to binary, you can use the following steps:
- Divide 0.125 by 2: 0.125 ÷ 2 = 0.0625
- Get the remainder: 0
- Multiply the result by 2: 0.0625 × 2 = 0.125
- Get the remainder: 1
- Repeat steps 2-4 until the result is 0: 0.125 ÷ 2 = 0.0625, remainder 1; 0.0625 ÷ 2 = 0.03125, remainder 0; 0.03125 ÷ 2 = 0.015625, remainder 1; ...
The resulting binary representation is 0.001.
Binary Representation of 0.125
Here is the binary representation of 0.125:
0.001
Each digit in the binary representation has a place value that is a power of 2:
- 2^(-3) = 0.125
- 2^(-4) = 0.0625
- 2^(-5) = 0.03125
- ...
The binary representation 0.001 corresponds to the decimal value 0.125.
I hope this helps! Let me know if you have any further questions.
