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Explain Binary number system with an appropriate example.

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Binary Number System: Characteristics of binary number system are as follows

1. Uses two digits, 0 and 1. 

2. Also called base 2 number system 

3. Each position in a binary number represents a 0 power of the base (2). 

Example 2o 

4. Last position in a binary number represents a x power of the base (2). 

Example 2x where x represents the last position;

Example: Binary Number: 101012

Calculating Decimal Equivalent:

Step Binary Number Decimal Number
Step 1 101012 ((1 x 24) + (0 x 23) + (1 x 21) + (1 x 20))10
Step 2 101012 (16 + 0 + 4 + 0 + 1)10
Step 3 101012 2110
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A number system is a code in which for each quantity a symbol is used. Types of number system are
(a) Decimal number system uses 10 digits 0 to 9
(b) Binary number system uses 2 digits 0 and 1
(c) Octal number system uses 8 digits 0 to 7 
(d) Hexadecimal number system uses 16 basic symbol I.e 0 to 9 and A to F

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