Binary and hexadecimal

Binary and hexadecimal

1. Binary

   • Base 2 (0,1)

2. Denary

   • Base 10 (0-9)

3. Hexadecimal

   • Base 16 (0-9, A-F)

4. Character set- a defined list of characters recognised by the computer hardware and software

5. Bits

   • 1 bit-bit
   • 4 bits-nibble
   • 2 bits-crumb
   • 8 bits-byte

6. FACTS

   • 255 is the largest numerical value which can be stored using 8 bits.
   • 0 is the smallest numerical value which can be stored using 8 bits
   • 256 different values can be stored using 8 bits.

7. Calculations

   • Binary to hexadecimal
     • starting from RIGHT, group digits in fours, replace each group with a single digit
   • Hexadecimal to binary
     • replace each digit with a four bit binary number, e.g. 2 ==> 0010
   • Denary to hexadecimal
     • example: 200=>divide by 16, 12 remainder 8, 12 as hex=C and 8 as 8 ==>C8
   • Denary to binary
   • Binary to Denary
   • Hexadecimal to Denary

8. Binary Addition (rules)

   • 0+0=0
   • 0+1=1
   • 1+0=1
   • 1+1=10
   • 1+1+1=10