In this tutorial, we will learn about the MySQL `BIN()`

, `OCT()`

and `HEX()`

functions. As you would have known by now, computers do not understand the language of humans. They only understand 0s and 1s. Numbers in the computer language often have a base or radix, such that all numbers present in that number system range from zero to (base-1). Let me elaborate more on this.

Table of Contents

## Introduction

In computer language, there are four popular number systems –

- The decimal number system – The base is 10.
- The binary number system – The base is 2.
- The octal number system – The base is 8.
- The hexadecimal number system – The base is 16.

These numbers find a lot of applications in electronic and digital circuits which, long story short, form the basis of our modern-day computers. The decimal number system is the number system which we use in our everyday life. Let us explore the other number systems using the MySQL `BIN()`

, `OCT()`

and `HEX()`

functions.

## MySQL BIN()

The MySQL `BIN()`

function is used to convert a number (from the decimal number system) to its binary equivalent. The returned value is a string.

Following is a table that shows the binary representation of numbers from 0 to 8. Note that numbers greater than 8 also have binary equivalent values. This table is just for example purposes.

You can read more about the math about the binary representation of numbers here.

### Syntax of MySQL BIN()

```
BIN(number)
```

Where ‘number’ is a number whose binary representation is to be found out.

### Example of MySQL BIN()

Let us find the binary representation of the following numbers – 2, 15 and 22. The queries are –

```
SELECT BIN(2);
SELECT BIN(15);
SELECT BIN(22);
```

And we get the output as follows.

## MySQL OCT()

The MySQL `OCT()`

function is used to convert a number (from the decimal number system) to its octal equivalent. The returned value is a string.

Following is a table that shows the octal representation of numbers from 0 to 10. Note that numbers greater than 10 also have octal equivalent values. This table is just for example purposes.

### Syntax of MySQL OCT()

```
OCT(number)
```

Where ‘number’ is a number whose octal representation is to be found out.

### Basic Example of MySQL OCT()

Let us find the octal representation of the following numbers – 2, 15, 9, 8 and 7. The queries are –

```
SELECT OCT(2);
SELECT OCT(15);
SELECT OCT(9);
SELECT OCT(8);
SELECT OCT(7);
```

And we get the output as follows.

## MySQL HEX()

The MySQL `HEX()`

function is used to convert a number (from the decimal number system) to its hexadecimal equivalent. The returned value is a string.

Following is a table that shows the hexadecimal representation of numbers from 0 to 18. Note that numbers greater than 18 also have hexadecimal equivalent values. This table is just for example purposes.

### Syntax of MySQL HEX()

```
HEX(number)
```

Where ‘number’ is a number whose hexadecimal representation is to be found out.

### Basic Example of MySQL HEX()

Let us find the hexadecimal representation of the following numbers – 7, 11, 17, 22 and 28. The queries are –

```
SELECT HEX(7);
SELECT HEX(11);
SELECT HEX(17);
SELECT HEX(22);
SELECT HEX(28);
```

And we get the output as follows.

## MySQL BIN(), OCT() and HEX() With Tables

Consider the below ‘Integers’ table. It has only one column – the Number column which stores an integer.

Using the `SELECT`

Statement, aliases and the `BIN()`

, `OCT()`

and `HEX()`

functions; let us find the binary, octal and hexadecimal equivalent values of the values in the Number column. The query is –

```
SELECT Number, BIN(Number) AS BinaryValue, OCT(Number) AS OctalValue, HEX(Number) AS HexadecimalValue FROM Integers;
```

And we get the output as –

## Conclusion

Converting from one base representation to another is an important operation especially with data involving the electronics and digital circuits domain. I would encourage you to read more of these number systems and functions.