Number System

Chapter Three: Number System | HSEB Guides

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