**625 in Binary Numbers**

**Introduction**

Binary numbers are a fundamental concept in computer science and mathematics. They are used to represent numbers using only two digits: 0 and 1. In this article, we will explore the binary representation of the number 625.

**What is 625 in Binary?**

The binary representation of 625 is **1010000001**.

**How to Convert 625 to Binary**

To convert 625 to binary, we can use the following steps:

### 1. Divide 625 by 2

625 ÷ 2 = 312 with a remainder of 1

### 2. Divide 312 by 2

312 ÷ 2 = 156 with a remainder of 0

### 3. Divide 156 by 2

156 ÷ 2 = 78 with a remainder of 0

### 4. Divide 78 by 2

78 ÷ 2 = 39 with a remainder of 0

### 5. Divide 39 by 2

39 ÷ 2 = 19 with a remainder of 1

### 6. Divide 19 by 2

19 ÷ 2 = 9 with a remainder of 1

### 7. Divide 9 by 2

9 ÷ 2 = 4 with a remainder of 1

### 8. Divide 4 by 2

4 ÷ 2 = 2 with a remainder of 0

### 9. Divide 2 by 2

2 ÷ 2 = 1 with a remainder of 0

### 10. Divide 1 by 2

1 ÷ 2 = 0 with a remainder of 1

The remainders of each division step are used to construct the binary representation of 625, which is **1010000001**.

## ** Conclusion**

In conclusion, the binary representation of 625 is **1010000001**. Understanding binary numbers is essential in computer science and mathematics, and converting decimal numbers to binary is a fundamental skill. By following the steps outlined in this article, you can convert any decimal number to its binary equivalent.