Hexadecimal

• Hexadecimal (base-16) uses 16 different digit.
• 0-9 remain the same whereas 10-15 are represented by A-F.
• Convert hex to denary by multiplying each character.
• To convert denary to hex:

  Draw the table but use division to fill it in.

  • Converting 106 into hex

  1. Start at the left
  2. Divide 106 by 16 then hold on to the remainder.

  • 106 / 6 = 6 r10

  1. Divide the remainder of the last calculation by 1.

  • 10 / 1 = 10 = A

  
• Convert binary to hex by splitting it into nibbles (groups of 4).
• Convert the binary number 1011 1001 into hexadecimal.

  1. Draw à table with columns labelled 1, 2, 4, 8 then repeat the values for as many nibbles as you need.
  2. Fill in the table with your binary number.
  3. For each nibble, add up the numbers with a 1 in the column and then convert this value to hex.
  4. Finally, put the hex values together.
• If a binary number can’t be split into nibbles, add some zeroes to the front.
• For hex to binary, use each characters denary value.
• Convert the hex number 8C to binary:

  1. Find the denary value of each character.
  2. Find the binary value of each denary number
  3. Put the nibbles together to get the equivalent binary

  • 8 = 8 in denary
  • 8 = 1000 in binary
  • ——————————
  • C = 12 in denary
  • 12 = 1100 in binary