How to convert Denary to Hexadecimal

Denary system is probably the most familiar numeral system in the world. It is the standard system for denoting integer and non-integer numbers. It is base 10 and it has 10 symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

On the other hand, hexadecimal system is probably more familiar as a numeral system that is commonly used in computers and other digital systems. It is base 16 and it has 16 symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and A, B, C, D, E, F.

Table #1: Denary to hexadecimal conversion table

Denary0123456789101112131415
Hexadecimal0123456789ABCDEF

Instructions:

  1. Start with any denary number
  2. Divide it by 16 and treat the division as an integer division
  3. Find out the remainder in a hexadecimal system
  4. Divide the result by 16 again
  5. Continue with remainder division until result is 0
  6. Resulting hexadecimal number is the digit sequence from the last to the first

Example #1: Convert denary 158 into hexadecimal

Step descriptionDivisionResultRemainder
Divide 158 with 16158 / 16914 = E
Divide 9 with 169 / 1609 = 9
Resulting hexadecimal number9E

Example #2: Convert denary 2019 into hexadecimal

Step descriptionDivisionResultRemainder
Divide 2019 with 162019 / 161263 = 3
Divide 126 with 16126 / 16714 = E
Divide 7 with 167 / 1607 = 7
Resulting hexadecimal number7E3

Convert denary numbers to hexadecimal numbers.

Convert hexadecimal numbers to denary numbers.

Explore the manual conversion process between hexadecimal and denary numbering systems.


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