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Number System

Conversion Techniques

1. Decimal to
a. Binary

  • /2 (Integer Part)
  • *2 (Decimal Part)

b. Octal

  • /8 (Integer Part)
  • *8 (Decimal Part)

c. Hexadecimal

  • /16 (Integer Part)
  • *16 (Decimal Part)

2. Binary to
a. Octal

  • Table (3-bit)

b. Decimal

  • *2n For eg. (1011)2 =1*23+0*22 +1*21+1*20

c. Hexadecimal

  • Table (4-bit)

3. Octal to
a. Binary

  • Table (3-bit)

b. Decimal

  • *8n For eg. (2341)8 =2*83+3*82 +4*81+1*80

c. Hexadecimal

  • Construct table of:
    • Octal-Binary (3Bit)
    • Binary-hexadecimal (4Bit)

4. Hexadecimal to

a. Binary

  • Table (4-bit)

b. Octal

  • Construct table of:
    • Hexa-Binary (4Bit)
    • Binary-Octal (3Bit)

c. Decimal

  • *16n For eg. (12A8)2 =1*163+2*162 +10*161+8*160

1’s and 2’s Complement

9’s and 10’s Complement

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