625 in Binary
What is 625 in Binary?
The decimal number 625 can be represented in binary form as 1001110001.
Understanding the Conversion
To convert a decimal number to binary, we can use the following steps:
- Divide the number by 2: Divide the decimal number 625 by 2, which gives us 312 with a remainder of 1.
- Repeat the process: Divide the quotient 312 by 2, which gives us 156 with a remainder of 0.
- Repeat the process again: Divide the quotient 156 by 2, which gives us 78 with a remainder of 0.
- Repeat the process again: Divide the quotient 78 by 2, which gives us 39 with a remainder of 0.
- Repeat the process again: Divide the quotient 39 by 2, which gives us 19 with a remainder of 1.
- Repeat the process again: Divide the quotient 19 by 2, which gives us 9 with a remainder of 1.
- Repeat the process again: Divide the quotient 9 by 2, which gives us 4 with a remainder of 1.
- Repeat the process again: Divide the quotient 4 by 2, which gives us 2 with a remainder of 0.
- Repeat the process again: Divide the quotient 2 by 2, which gives us 1 with a remainder of 0.
- Repeat the process again: Divide the quotient 1 by 2, which gives us 0 with a remainder of 1.
Reading the Remainders
Now, let's read the remainders from bottom to top:
- 1
- 0
- 0
- 1
- 1
- 1
- 0
- 0
- 1
- 1
The Binary Representation
Therefore, the binary representation of the decimal number 625 is 1001110001.
Conclusion
In this article, we have learned how to convert the decimal number 625 to its binary equivalent, which is 1001110001.
