What Is The Hexadecimal System (Hex System)?
The hexadecimal system, or hex, works on a base of 16, using 16 symbols to represent numbers. It includes numbers from 0 to 9 and letters from A to F. This mix of letters and numbers helps represent more than 9 values in a single symbol, making hex useful for mathematics and binary in computers.
Hex is great for computers because it makes binary numbers easier to understand. Each hex digit represents four binary digits. So, instead of dealing with long strings of 0s and 1s, we can use shorter hex codes to represent the same information. For example, a byte in binary can be written as 00 to FF in hex.
In web design, hex codes are used to choose colors. You may see something like FFFFFF for white or 000000 for black. These codes help designers communicate colors accurately.
What Is a Binary System?
Now, binary works differently. It’s based on 2, so it only uses 0 and 1. Although it has been around for centuries, it has become extremely important in modern electronics and computers. Binary is perfect for electronics as it can easily represent on/off signals.
Binary is easy to understand. In binary numbers each digit represents a power of 2, starting from the right. It is like the building blocks for digital information. Everything in your computer, from text to images, is ultimately made up of these 0s and 1s. So, binary is the language that computers speak, which helps us interact with digital technology every day.
How to Convert Hexadecimal to Binary Number?
1. Start with the hexadecimal number you want to convert.
2. Count how many digits are in it.
3. Take each digit and turn it into a group of four binary digits (bits).
4. Add these binary groups to get the binary equivalent.
5. Now let us understand this in more detail:
- Each digit in a hexadecimal number represents a specific quantity.
- By multiplying each digit by powers of 16, we convert it to a decimal.
- Once we have the decimal equivalent, we convert it to binary.
6. To do this:
- Divide the decimal number by 2.
- Keep track of the remainders when performing these partitions.
- The order of the remainders, read from bottom to top, gives you the binary equivalent.
7. By following these steps you can easily convert any hexadecimal number to binary.
Hexadecimal to Binary Conversion Chart
| 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 |
| 1A | 00011010 |
| 1B | 00011011 |
| 1C | 00011100 |
| 1D | 00011101 |
| 1E | 00011110 |
| 1F | 00011111 |
| 20 | 00100000 |
| 21 | 00100001 |
| 22 | 00100010 |
| 23 | 00100011 |
| 24 | 00100100 |
| 25 | 00100101 |
| 26 | 00100110 |
| 27 | 00100111 |
| 28 | 00101000 |
| 29 | 00101001 |
| 2A | 00101010 |
| 2B | 00101011 |
| 2C | 00101100 |
| 2D | 00101101 |
| 2E | 00101110 |
| 2F | 00101111 |
| 30 | 00110000 |
| 31 | 00110001 |
| 32 | 00110010 |
| 33 | 00110011 |
| 34 | 00110100 |
| 35 | 00110101 |
| 36 | 00110110 |
| 37 | 00110111 |
| 38 | 00111000 |
| 39 | 00111001 |
| 3A | 00111010 |
| 3B | 00111011 |
| 3C | 00111100 |
| 3D | 00111101 |
| 3E | 00111110 |
| 3F | 00111111 |
| 40 | 01000000 |
| Hexadecimal | Binary |
|---|---|
| 41 | 01000001 |
| 42 | 01000010 |
| 43 | 01000011 |
| 44 | 01000100 |
| 45 | 01000101 |
| 46 | 01000110 |
| 47 | 01000111 |
| 48 | 01001000 |
| 49 | 01001001 |
| 4A | 01001010 |
| 4B | 01001011 |
| 4C | 01001100 |
| 4D | 01001101 |
| 4E | 01001110 |
| 4F | 01001111 |
| 50 | 01010000 |
| 51 | 01010001 |
| 52 | 01010010 |
| 53 | 01010011 |
| 54 | 01010100 |
| 55 | 01010101 |
| 56 | 01010110 |
| 57 | 01010111 |
| 58 | 01011000 |
| 59 | 01011001 |
| 5A | 01011010 |
| 5B | 01011011 |
| 5C | 01011100 |
| 5D | 01011101 |
| 5E | 01011110 |
| 5F | 01011111 |
| 60 | 01100000 |
| 61 | 01100001 |
| 62 | 01100010 |
| 63 | 01100011 |
| 64 | 01100100 |
| 65 | 01100101 |
| 66 | 01100110 |
| 67 | 01100111 |
| 68 | 01101000 |
| 69 | 01101001 |
| 6A | 01101010 |
| 6B | 01101011 |
| 6C | 01101100 |
| 6D | 01101101 |
| 6E | 01101110 |
| 6F | 01101111 |
| 70 | 01110000 |
| 71 | 01110001 |
| 72 | 01110010 |
| 73 | 01110011 |
| 74 | 01110100 |
| 75 | 01110101 |
| 76 | 01110110 |
| 77 | 01110111 |
| 78 | 01111000 |
| 79 | 01111001 |
| 7A | 01111010 |
| 7B | 01111011 |
| 7C | 01111100 |
| 7D | 01111101 |
| 7E | 01111110 |
| 7F | 01111111 |
| 80 | 10000000 |
| Hexadecimal | Binary |
|---|---|
| 81 | 10000001 |
| 82 | 10000010 |
| 83 | 10000011 |
| 84 | 10000100 |
| 85 | 10000101 |
| 86 | 10000110 |
| 87 | 10000111 |
| 88 | 10001000 |
| 89 | 10001001 |
| 8A | 10001010 |
| 8B | 10001011 |
| 8C | 10001100 |
| 8D | 10001101 |
| 8E | 10001110 |
| 8F | 10001111 |
| 90 | 10010000 |
| 91 | 10010001 |
| 92 | 10010010 |
| 93 | 10010011 |
| 94 | 10010100 |
| 95 | 10010101 |
| 96 | 10010110 |
| 97 | 10010111 |
| 98 | 10011000 |
| 99 | 10011001 |
| 9A | 10011010 |
| 9B | 10011011 |
| 9C | 10011100 |
| 9D | 10011101 |
| 9E | 10011110 |
| 9F | 10011111 |
| A0 | 10100000 |
| A1 | 10100001 |
| A2 | 10100010 |
| A3 | 10100011 |
| A4 | 10100100 |
| A5 | 10100101 |
| A6 | 10100110 |
| A7 | 10100111 |
| A8 | 10101000 |
| A9 | 10101001 |
| AA | 10101010 |
| AB | 10101011 |
| AC | 10101100 |
| AD | 10101101 |
| AE | 10101110 |
| AF | 10101111 |
| B0 | 10110000 |
| B1 | 10110001 |
| B2 | 10110010 |
| B3 | 10110011 |
| B4 | 10110100 |
| B5 | 10110101 |
| B6 | 10110110 |
| B7 | 10110111 |
| B8 | 10111000 |
| B9 | 10111001 |
| BA | 10111010 |
| BB | 10111011 |
| BC | 10111100 |
| BD | 10111101 |
| BE | 10111110 |
| BF | 10111111 |
| C0 | 11000000 |
| Hexadecimal | Binary |
|---|---|
| C1 | 11000001 |
| C2 | 11000010 |
| C3 | 11000011 |
| C4 | 11000100 |
| C5 | 11000101 |
| C6 | 11000110 |
| C7 | 11000111 |
| C8 | 11001000 |
| C9 | 11001001 |
| CA | 11001010 |
| CB | 11001011 |
| CC | 11001100 |
| CD | 11001101 |
| CE | 11001110 |
| CF | 11001111 |
| D0 | 11010000 |
| D1 | 11010001 |
| D2 | 11010010 |
| D3 | 11010011 |
| D4 | 11010100 |
| D5 | 11010101 |
| D6 | 11010110 |
| D7 | 11010111 |
| D8 | 11011000 |
| D9 | 11011001 |
| DA | 11011010 |
| DB | 11011011 |
| DC | 11011100 |
| DD | 11011101 |
| DE | 11011110 |
| DF | 11011111 |
| E0 | 11100000 |
| E1 | 11100001 |
| E2 | 11100010 |
| E3 | 11100011 |
| E4 | 11100100 |
| E5 | 11100101 |
| E6 | 11100110 |
| E7 | 11100111 |
| E8 | 11101000 |
| E9 | 11101001 |
| EA | 11101010 |
| EB | 11101011 |
| EC | 11101100 |
| ED | 11101101 |
| EE | 11101110 |
| EF | 11101111 |
| F0 | 11110000 |
| F1 | 11110001 |
| F2 | 11110010 |
| F3 | 11110011 |
| F4 | 11110100 |
| F5 | 11110101 |
| F6 | 11110110 |
| F7 | 11110111 |
| F8 | 11111000 |
| F9 | 11111001 |
| FA | 11111010 |
| FB | 11111011 |
| FC | 11111100 |
| FD | 11111101 |
| FE | 11111110 |
| FF | 11111111 |
