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Hexadecimal Number System

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Represents 16 types of digits from 0 to 9 and alphabets from A to F, so the base of number system is 16. Digits from 10 to 15 are represented as 10-A, 11-B, 12-C, 13-D, 14-E, 15-F. Conversion of this number system is also same as other numbers system.

Hexadecimal to all conversion

Hexadecimal to binary conversion

Steps:

  • Convert each hexadecimal digit into 4-bit binary equivalent.

Example:

Hexadecimal to octal conversion

Steps:

  • Converting each hexadecimal digit into 4-bit binary equivalent.
  • Group these binary equivalent into 3-bit.
  • Convert to octal digits.

Example:

Hexadecimal to decimal conversion

Steps:

  • Multiply each bit by 16n, where n is the weight of the bit.
  • Weight is calculated by the position of bit, starting from 0 on the right.
  • Add the results.

Example:


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Tip Box

Hexadecimal number system is a human freindly representation of binary coded values in computing and digital electronics.


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