0.625 Decimal to Binary
In this article, we will explore how to convert the decimal number 0.625 to its binary equivalent.
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 Decimal to Binary
To convert a decimal number to binary, we can use the following steps:
- Divide the number by 2: Divide the decimal number by 2 and find the remainder.
- Write down the remainder: Write down the remainder as a binary digit (0 or 1).
- Repeat steps 1-2: Repeat steps 1-2 with the quotient until the quotient is 0.
Let's apply these steps to convert 0.625 to binary:
Converting 0.625 to Binary
Step 1: Divide 0.625 by 2
0.625 ÷ 2 = 0.3125 (remainder 1)
Step 2: Write down the remainder
Binary digit: 1
Step 3: Repeat steps 1-2
0.3125 ÷ 2 = 0.15625 (remainder 1)
Binary digit: 1
0.15625 ÷ 2 = 0.078125 (remainder 0)
Binary digit: 0
0.078125 ÷ 2 = 0.0390625 (remainder 1)
Binary digit: 1
...
Final Binary Representation
The final binary representation of 0.625 is: 0.101
So, the decimal number 0.625 is equal to the binary number 0.101.
Conclusion
In this article, we have learned how to convert the decimal number 0.625 to its binary equivalent using the division method. Binary representation is an essential concept in computer science, and understanding how to convert between decimal and binary is a fundamental skill for any programmer or computer scientist.
