🌙 Hexadecimal Representations

Hexadecimal (base-16) is used to represent binary numbers in a more human-readable form, grouping 4 bits into a single digit.

Theory

In hexadecimal:

• Digits range from 0 to F (where A = 10, B = 11, …, F = 15).
• One hexadecimal digit represents four binary digits (bits).

Hex is commonly used because it is easier to read and write large binary numbers. For example, a 64-bit binary number can be compactly written as a 16-character hexadecimal number.

Conversion Example:

To convert binary $1111110001011011$ to hexadecimal:

1. Group the binary number into 4-bit chunks: $1111110001011011$
2. Convert each chunk to hexadecimal:
   • $1111=F$
   • $1100=C$
   • $0101=5$
   • $1011=B$

Thus, the hexadecimal representation is $0xFC5B$.