Binary to Hex

Binary Number:A binary number is a numeral system based on base-two, using only two digits: 0 and 1. It's commonly used in computing and digital electronics.

Binary Number Example:An example of a binary number is 110101. Each digit represents a power of 2, with the rightmost digit representing 2^0, the next representing 2^1, and so on.

Hexadecimal (Hex) Number:Hexadecimal is a base-sixteen numeral system that uses sixteen symbols: 0-9 and A-F, where A represents 10, B represents 11, and so forth up to F representing 15. It's widely used in computing due to its compact representation of binary data.

Hexadecimal Number Example:An example of a hexadecimal number is 2F8A. Each digit in a hexadecimal number represents a power of 16, with the rightmost digit representing 16^0, the next representing 16^1, and so on.

Conversion Process: Binary to Hexadecimal

1. Group Binary Digits in Sets of Four: Start by grouping the binary digits in sets of four from right to left. If the last group has fewer than four digits, add zeros to the left to make it four digits.
2. Convert Each Group to Hexadecimal: Convert each four-digit binary group to its hexadecimal equivalent.
3. Combine Hexadecimal Digits: Combine the hexadecimal digits obtained from each group to form the final hexadecimal number.

Example: Convert Binary 1011011101 to Hexadecimal

Binary Number: 1011011101

Group in Sets of Four:
1011 0111 01

Convert Each Group to Hexadecimal:
1011 (B in hex)
0111 (7 in hex)
01 (1 in hex, add leading zero for four digits)

Combine Hexadecimal Digits:
B71

Therefore, the hexadecimal representation of the binary number 1011011101 is B71.