**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**.