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If you’re working with digital systems, you may often come across the need to convert hexadecimal numbers to binary. In this guide, we’ll walk you through the process of converting hex to binary using a simple table and an example.
To convert a hex digit to binary, you’ll need to use a table that shows the binary equivalent for each hexadecimal digit. Here’s the table:
| Hex | Binary |
|---|---|
| 0 | 0000 |
| 1 | 0001 |
| 2 | 0010 |
| 3 | 0011 |
| 4 | 0100 |
| 5 | 0101 |
| 6 | 0110 |
| 7 | 0111 |
| 8 | 1000 |
| 9 | 1001 |
| A | 1010 |
| B | 1011 |
| C | 1100 |
| D | 1101 |
| E | 1110 |
| F | 1111 |
Converting Hex to Binary: Step-by-Step Example
Let’s take the hex number 6C16 and convert it to binary using the table above. Here are the steps:
Step 1: Convert the hex digits to binary using the table.
| Hex | Binary |
|---|---|
| 6 | 0110 |
| C | 1100 |
Step 2: Combine the binary digits from step 1.
| Hex | Binary |
|---|---|
| 6 | 0110 |
| C | 1100 |
| 01101100 |
Step 3: Add leading zeros to the binary number until it has 8 digits.
| Hex | Binary |
|---|---|
| 6 | 0110 |
| C | 1100 |
| 01101100 | |
| 0011011000 |
Step 4: The binary equivalent of 6C16 is 00110110002.
That’s it! You now know how to convert hex to binary using a simple table and an example. Remember to start with the lowest digit and work your way up when converting hex to binary, and always use the table to ensure accuracy.
Converting hexadecimal numbers to binary can be a useful skill when working with digital systems. By following the steps outlined in this guide, you can easily convert any hex number to binary using a simple table.