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