Page 25 - Computer Class 06

4. Hexadecimal Number System : A hexadecimal number system has sixteen (16)

alphanumeric values from 0 to 9 and A to F. Every number (value) represents
with 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E and F in this number system. The
base of hexadecimal number system is 16, because it has 16 alphanumeric

values. Here A is 10, B is 11, C is 12, D is 13, E is 14 and F is 15.
Look at the following table carefully.

Number System Base Used Digits

Binary 2 0, 1

Octal 8 0, 1, 2, 3, 4, 5, 6, 7

Decimal 10 0, 1,2, 3, 4, 5, 6, 7, 8 ,9

Hexadecimal 16 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

A, B, C, D, E, F

Number System Conversion

There are three types of conversion.

8 Decimal Number System to Other Base
(For example : Decimal Number system to binary number system)

8 Other Base to Decimal Number System

(For example : Binary number system to decimal number system )
8 Other Base to Other Base

(For example : Binary number system to hexadecimal number system)

Conversion from Decimal to Binary Number System

Rules :

1. Divide the given number with the base of binary number i.e. 2.

2. Write down the remainder and divide the quotient again by 2.

3. Repeat the step 2 till the quotient becomes 0.
Equivalent binary number is obtained by writing sequence of remainders
starting from bottom to top.

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