Converting Between Binary and Hexadecimal

Converting Between Binary and Hexadecimal

Binary and hexadecimal are two important number systems used in computing. Understanding how to convert between them is essential for working with computer systems.

From Binary to Hexadecimal

1. Group the binary digits into groups of four, starting from the rightmost digit. If the number of digits is not a multiple of four, add leading zeros to the left.

For example:

10110110 -> 1011 0110 2. Convert each group of four binary digits into its equivalent hexadecimal digit.

For example:

1011 0110 -> B6

From Hexadecimal to Binary

1. Convert each hexadecimal digit into its equivalent four-digit binary representation.

Refer to the table above for the conversions.

For example:

B6 -> 1011 0110 2. Combine the binary representations to form the final binary number.

For example:

1011 0110 -> 10110110

Example:

Binary to Hexadecimal:

11001011 10100011 -> 1100 1011 1010 0011 ->  CBB3

Hexadecimal to Binary:

CBB3 -> 1100 1011 1011 0011 -> 1100101110110011

Conclusion

By following these simple steps, you can easily convert between binary and hexadecimal representations. This knowledge is crucial for understanding and working with computer systems.