Number Converter

Binary to hexadecimal converter is the tool of converting numbers from the binary numeral system (base-2) to the hexadecimal numeral system (base-16).

Binary System :

• Binary is a numeral system with a base of 2, which means it uses only two symbols: 0 and 1.
• For example, the binary number 1011 is equivalent to the decimal number 11.

Hexadecimal System :

• Hexadecimal is a numeral system with a base of 16, which means it uses sixteen symbols: 0-9 for values 0-9, and A-F for values 10-15.
• Each hexadecimal digit corresponds to a group of four binary digits (also called nibble or 4 bits). This property makes hexadecimal a convenient representation for binary data.

Conversion Process :

• Group Binary Digits :
  • Divide the binary number into groups of four, starting from the right. If there are fewer than four digits in the leftmost group, add leading zeros.
    • Example:
      1. Binary Number: 110110101101
      2. Grouped: 0011 0110 1011 01

• Match with Hexadecimal Equivalents :
  • Convert each group of four binary digits to its hexadecimal equivalent.
    • Example:
      1. Binary Groups: 0011, 0110, 1011, 0101
      2. Hexadecimal Equivalents: 3, 6, B, 5
• Combine Hexadecimal Digits :
  • Arrange the hexadecimal digits from left to right to obtain the final hexadecimal representation.
    • Example:
      1. Hexadecimal Number: 36B5
• Example with Detailed Steps :
  • Binary Number: 110110101101
  • Grouped: 0011 0110 1011 01
  • Binary Groups :
    • 0011 (In decimal: 3)
    • 0110 (In decimal: 6)
    • 1011 (In decimal: 11)
    • 0101 (In decimal: 5)
  • Hexadecimal Equivalents :
    • 3, 6, B, 5
  • Combined Hexadecimal Digits :
    • Hexadecimal Number: 36B5
  • So, the binary number 110110101101 is equivalent to the hexadecimal number 36B5.