Binary number:

1101001

(69)16 = (1101001)2

Please enter all the details correctly.

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.

## Converting Hex to Binary

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:

HexBinary
00000
10001
20010
30011
40100
50101
60110
70111
81000
91001
A1010
B1011
C1100
D1101
E1110
F1111

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.

HexBinary
60110
C1100

Step 2: Combine the binary digits from step 1.

HexBinary
60110
C1100
01101100

Step 3: Add leading zeros to the binary number until it has 8 digits.

HexBinary
60110
C1100
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.

## Conclusion

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.