11 Computer -- Number System and Conversion Boolean Logic

Answers:

1. Number System- It refers to the digits, its arrangements, positional weight and the base of the number system.

2. Decimal Number system- A number system having base or radix 10 is known as decimal number system.

3. Binary Number System- A number system having base or radix 2 is known as binary number system.

4. Octal Number system- A number system having base or radix 8 is known as octal number system.

5. Hexadecimal Number System- A number system having base or radix 16 is known as...

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AND gate:

It is an electronic circuit, which produce high logic (1) output when both the input logic are high (1) and produce low logic(0) when any one of the input logic is low (0). The output produce by this basic gate is the product of its input logic.

Algebraic expression:

F=A.B

where, A and B are inputs, F is an output

Gate symbol:

Truth table:

OR gate:

It is an electronic circuit, which produce high logic (1) output when any one of the...

TheNAND and NOR gatesare called universal gates. It is so because any digital circuit can be implemented by using any one of these two i.e. any logic gate can be created using NAND or NOR gates only.

The laws of boolean algebra are:

1. Identity law: A+0=A ; A.1=A

2. Boundedness law: A+1=1. ; A.0=0

3. Idempotent law: A+A=A ; A.A=A

4. Complement law: A+A'=1 ; A.A'=0

5. Commutative law: A+B=B+A ; A.B=B.A

6. Distributive law: A+(B.C)=(A+B).(A+C) ; A.(B+C)=(A.B)+(A.C)

7. Absorption laws: A+(A.B)=A ; A.(A+B)=A

8. Associative law: (A+B)+C=A+(B+C) ; (A.B).C=A.(B.C)

9. De-morgan's law : (A+B)'=A'.B' ; (A.B)'=A'+B'

10. Involution law: (A')'=A