.625 Decimal to Binary Conversion
In this article, we will explore how to convert the decimal number .625 to its equivalent binary representation.
What is Decimal?
Decimal is a base-10 number system that uses 10 distinct symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. It is the most commonly used number system in everyday life.
What is Binary?
Binary is a base-2 number system that uses only two distinct symbols: 0 and 1. It is the language of computers and is used to represent information in computer systems.
Converting .625 Decimal to Binary
To convert .625 decimal to binary, we can use the following steps:
Step 1: Convert the Integer Part
Since .625 has no integer part, we can skip this step.
Step 2: Convert the Fractional Part
To convert the fractional part, we can use the following formula:
0.625 × 2 = 1.25
Take the integer part of the result, which is 1, and multiply the remaining fractional part by 2:
0.25 × 2 = 0.5
Take the integer part of the result, which is 0, and multiply the remaining fractional part by 2:
0.5 × 2 = 1.0
Since the result is 1, we can stop here.
Step 3: Combine the Results
Now, let's combine the results of each step to get the final binary representation:
.1010
Therefore, the binary representation of .625 decimal is .1010.
Conclusion
In this article, we have successfully converted the decimal number .625 to its equivalent binary representation, which is .1010. This conversion is essential in computer systems, as it allows computers to understand and process decimal numbers in their native language.
