0.625 in Binary
In this article, we will discuss how to represent the decimal number 0.625 in binary format.
What is Binary?
Binary is a number system that uses only two digits: 0 and 1. It is the basis for all computer programming and is used to represent information in computers.
Converting 0.625 to Binary
To convert 0.625 to binary, we can use the following steps:
Step 1: Convert the Integer Part
The integer part of the decimal number 0.625 is 0. Since the integer part is 0, the binary representation of the integer part is also 0.
Step 2: Convert the Fractional Part
The fractional part of the decimal number 0.625 is 0.625. To convert this to binary, we can multiply it by 2 and take the integer part as the next bit in the binary representation. We repeat this process until the fractional part becomes 0.
| Multiply by 2 | Integer Part | Fractional Part |
|---|---|---|
| 0.625 × 2 = 1.25 | 1 | 0.25 |
| 0.25 × 2 = 0.5 | 0 | 0.5 |
| 0.5 × 2 = 1.0 | 1 | 0.0 |
The binary representation of the fractional part is 0.101.
Step 3: Combine the Integer and Fractional Parts
The binary representation of 0.625 is the combination of the integer part and the fractional part. Since the integer part is 0, the final binary representation is:
0.101
Therefore, the binary representation of 0.625 is 0.101.
