# HEX TO BINARY

Hex to binary converter allows you to convert hexadecimal to binary values within seconds. Paste hex values in the text box and click "Convert to Binary" for an instant conversion.

## HOW TO CONVERT HEXADECIMAL TO BINARY? [3 STEPS]

- Enter the hex numbers in the text box.
- Click on the “Convert to Binary” button.
- The hex values can be converted, and results will be displayed immediately.
- Click the “Copy to Clipboard” option to copy the binary values or download the file by clicking the “Download” button.

## BENEFITS OF HEX TO BINARY CONVERTER

### Free of Cost:

The hexadecimal to binary converter is an entirely free-to-use online utility. You can convert as many hexadecimal codes into binaries without any registration.

### Quick Enough:

If you are looking for an efficient tool to convert hex to binary online, you can use this utility without any second thought. Once you enter the code on the tool, the utility will begin processing the code and give you the results immediately.

### Super-Easy/ Accuracy:

The free hex to binary converter provides an easy-to-use interface that helps you perform the conversion without hassle. The utility also provides 100% accurate and flawless results.

### Swapp Results:

The online hexadecimal to binary converter provides a swap option to change the conversion. After converting hex into binary numbers, you can also convert them from binary to hex with a single click.

### Anywhere / Any-time:

The online hex to binary converter is a web-based utility that enables users to use it anywhere at any time. You require a good internet connection to access the utility

## HOW TO CONVERT HEX TO BINARY MANUALLY?

Converting hex to bin values manually requires ample time as it involves several steps to be followed. You must remember all the values of the hex to binary conversion table to perform the manual conversion.

The table includes the binary values for each hex digit. Each 16 hex digit has different binary values, and every hex value will generate four binary numbers. For instance, “A” represents 1010, “B” represents 1011, “C” represents 1100, and so on.

Additionally, you will not perform the conversion accurately without thoroughly understanding the hex to binary conversion method. The chances of errors are quite high, and you won't get your desired results.

The following points will help you to convert hex to binary manually. Take a look!

- Write down the hex number you want to convert into binary.
- Every hexadecimal number system denotes four binary digits and is equal to a power of 2. So, the rightmost digit equals 2
^{0}(1), and will increase till the last digit, like 2^{1}(2), 2^{2}(3), and so on. - Now, simply convert each decimal value into binary, but ensure to write four digits for each value.
- After converting the values, combine all four-digit values to make a binary number.

## HEX TO BINARY CONVERSION EXAMPLES

### EXAMPLE 1:

We’ll convert the value 3D1 into binary.

(3D1)_{16}

3 | D | 1 |

3 | 13 | 1 |

0011 | 1101 | 0001 |

So,

(3D1)_{16} = (001111010001)_{2}

**EXPLANATION:**

- In the above-mentioned example, first, we change the hexadecimal value to decimal.
- Then, we converted the values 3D1 to binary numbers using the hex to binary table.
- Later, we combine all the resultant binary values to get the final output, (001111010001)
_{2}.

### EXAMPLE 2:

In this example, we will convert the hex value 7DC1 into binary.

(7DC1)_{16}

7 | D | C | 1 |

7 | 13 | 12 | 1 |

8421 | 8421 | 8421 | 8421 |

0111 | 1101 | 1100 | 0001 |

So,

(7DC1)_{16} = (0111110111000001)_{2}

**EXPLANATION:**

- First, we change the hexadecimal value 7DC1 into decimal.
- Then, we translated the values of 7DC1 to binary using the hexadecimal to binary table.
- After combining the binary values, we get the final output (0111110111000001)
_{2}.

### EXAMPLE 3:

In this example, we can convert the hexadecimal value (6D2)_{16} to binary.

(6D2)_{16}

6 | D | 2 |

7 | 13 | 1 |

8421 | 8421 | 8421 |

0110 | 1101 | 0010 |

So,

(6D2)_{16} = (011011010010)_{2}

**EXPLANATION:**

- In the above-mentioned example, first, we change the hexadecimal values to decimal.
- Then, we converted the value 6D2 to binary numbers using the hex to binary table.
- Later, we combine the binary values to get the final output, (011011010010)
_{2}.

## HEXADECIMAL TO BINARY CONVERSION TABLE

Below, the table includes binary and hexadecimal values.

Hexadecimal | Binary |
---|---|

1 | 00000001 |

2 | 00000010 |

3 | 00000011 |

4 | 00000100 |

5 | 00000101 |

6 | 00000110 |

7 | 00000111 |

8 | 00001000 |

9 | 00001001 |

A | 00001010 |

B | 00001011 |

C | 00001100 |

D | 00001101 |

E | 00001110 |

F | 00001111 |

10 | 00010000 |

11 | 00010001 |

12 | 00010010 |

13 | 00010011 |

14 | 00010100 |

15 | 00010101 |

16 | 00010110 |

17 | 00010111 |

18 | 00011000 |

19 | 00011001 |

## HEXADECIMAL AND BINARY NUMBER SYSTEM OVERVIEW

### HEXADECIMAL NUMBER SYSTEM

The hexadecimal number system, also known as Base 16, effectively represents numbers and bytes in programming and computer systems. The hex system includes 10 decimal values (0,1,2,3,4,5,6,7,8,9) and six English alphabets (A, B, C, D, E, F). The alphabets are represent by 10,11,12,13,14,15,16 respectively.

A nibble (four binary digits) is a half of a byte that is mostly used to describe data in information technology. The number system is widely used in mathematics and information technology because of its simple-to-understand format. It is also very challenging for people to learn this system due to its complex syntax and logic.

This number system is preferred for writing base 2 systems in abbreviated form. Website designers also use the hex system to represent colors in HTML programming. Each color in HTML denotes a 6-digit hexadecimal number: FFFFFF. For Instance, Black is represented with 000000.

### BINARY NUMBER SYSTEM

The binary system is a base 2 format that consists of only two numbers: 0 and 1. The base-2 system is also known as the language of electronics and computers. Each number in the binary number system refers to 1 bit.

This is the perfect system to find an electric signal, as 0 denotes OFF, and 1 represents the ON state. All the digital data you create or read consists of binary numbers.

The computer systems can only understand instructions in two digits (0 and 1). Therefore, the code written in another format must be converted into binary language for digital processing.

## FAQs

### WHAT IS FF HEX IN BINARY?

FF hex in binary is equal to 11111111. F denotes 15 in hexadecimal. Similarly, FF represents (15 x 15) = 255. After converting this value into binary, you will get the answer of 11111111.

### WHAT IS THE BINARY EQUIVALENT OF THE HEX DIGIT C?

The binary value of the hexadecimal digit C is 00001100.

### WHO INVENTED MODERN BINARY NUMBER SYSTEM?

Gottfried Wilhelm Leibniz invented the modern binary number system in 1689. He primarily developed this language to convert verbal logic statements into mathematical ones.