Question

In: Computer Science

Briefly explain logic gates and various gates used in digital logic design.

  1. Briefly explain logic gates and various gates used in digital logic design.

Solutions

Expert Solution

Logic Gate :

They are basic building blocks of any digital system., they can have more than one input or may be 1.and only 1 output,it can be made from resistors,transistors ,diodes.It is a small transistor circuit which implements in different forms.It operates in two voltage called logic 1 and logic 0.

  1. AND gate - Gives an output of 1 if both two inputs are 1,it gives 0 otherwise.
X Y F
0 0 0
0 1 0
1 0 0
1 1 1

2. OR gate - Gives an output of 1 if either of two inputs are 1,it gives 0 otherwise.

x y F
0 0 0
0 1 1
1 0 1
1 1 1

3. NOT gate - The NOT gate gives an output of 1 if input is 0 and vice versa.

x F
0 1
1 0

4. XOR (Exclusive-OR) gate : - The XOR gate gives an output of 1 if either both inputs are different , it gives 0 if they are same.

x y F
0 0 0
0 1 1
1 0 1
1 1 0

5.NAND gate :- The NAND gate gives an output of 0 if both inputs are 1 ,it gives 1 otherwise.

x y F
0 0 1
0 1 1
1 0 1
1 1 0

6.NOR gate :- The NOR gate gives an output of 1 if both inputs are 0,it gives 0 otherwise.

x y F
0 0 1
0 1 0
1 0 0
1 1 0

7 . XNOR (Exclusive NOR) gate :- The XNOR gate gives an output of 1 if both inputs are same and 0 if both are different .

x y F
0 0 1
0 1 0
0 0 0
0 1 1


Out of the seven logic gates NAND and NOR are also known as universal gates because they can be used to implement any digital circuit without using any other gate.


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