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