To Study and Verify the Truth Table of Logic Gates.

NOT Gate

The inverter is a logic gate which has only one input & one output. In inverter is Always opposite of input.
which means if set input LOW is output HIGH.if set input HIGH is output is LOW. the output is given below.

Logic equation is: X = X Digital IC for NOT: IC 7404.

TRUTH TABLE
INPUT	OUTPUT
X	X = X	DIAGRAM
0	1
1	0

IC: 7404 NOT GATE USING UNIVERSAL GATES

NOT GATE USING NAND	NOT GATE USING NOR GATE

AND Gate

AND gate is a logic gate Which can have two or more inputs.But there is only one output.
The output of AND gate is high only if all inputs are HIGH .
Even if one input is LOW the output is LOW. the output is given below.

Logic equation is: X = A . B Digital IC for AND: IC 7408.

TRUTH TABLE
INPUT		OUTPUT
A	B	X = A . B	DIAGRAM
0	0	0
0	1	0
1	0	0
1	1	1

IC:7408 AND GATE USING UNIVERSAL GATES

AND GATE USING NAND	AND GATE USING NOR GATE

OR Gate

OR gate is a logic gate Which can have two or more inputs.But there is only one output.
The output of OR gate is HIGH only if a one of the inputs are HIGH Even if one input is LOW, the output will HIGH. Only when both of input is zero the output will also LOW. the output is given below.

Logic equation is: X = A + B Digital IC for OR: IC 7432.

TRUTH TABLE
INPUT		OUTPUT
A	B	X = A + B	DIAGRAM
0	0	0
0	1	1
1	0	1
1	1	1

IC: 7432 OR GATE USING UNIVERSAL GATES

OR GATE USING NAND	OR GATE USING NOR GATE

NAND Gate

NAND gate is a logic gate Which can have two or more inputs.But there is only one output.
NAND is Compliment of AND .The output of NAND gate is HIGH only if one inputs are HIGH or both input being LOW.if both input is HIGH the output is LOW, the output is given below.

Logic equation is: X = A . B Digital IC for NAND: IC 7400.

TRUTH TABLE
INPUT		OUTPUT
A	B	X = A . B	DIAGRAM
0	0	1
0	1	1
1	0	1
1	1	0

IC: 7400 NAND GATE USING UNIVERSAL GATES

NAND GATE	NAND GATE USING NOR GATE

XOR Gate

XOR gate is a logic gate Which can have two or more inputs.But there is only one output.
The output of XOR gate is HIGH only if one of the inputs are HIGH.
if both input is same the output is LOW, the output will below.

Logic equation is:X = A ⊕ B Digital IC for XOR: IC 7486.

TRUTH TABLE
INPUT		OUTPUT
A	B	X = A ⊕ B	DIAGRAM
0	0	0
0	1	1
1	0	1
1	1	0

IC: 7486 XOR GATE USING UNIVERSAL GATES

XOR	XOR USING NAND GATE	XOR GATE USING NOR GATE

NOR Gate

NOR gate is a logic gate Which can have two or more inputs.But there is only one output.
NOR Gate is Compliment of OR. The output of NOR gate is HIGH only if both inputs are LOW.if Any input is HIGH the output is LOW, the output is given below.

Logic equation is: X = A + B Digital IC for NOR: IC 7402.

TRUTH TABLE
INPUT		OUTPUT
A	B	X = A + B	DIAGRAM
0	0	1
0	1	0
1	0	0
1	1	0

IC: 7402 NOR GATE USING UNIVERSAL GATES

NOR GATE	NOR GATE USING NAND GATE

XNOR Gate

XNOR gate is a logic gate. Which can have two or more inputs.But there is only one output.
XNOR Is Compliment of XOR . The output of NAND gate is HIGH only if Both inputs are same.
if both input is different the output is LOW, the output will below.

Logic equation is:X = A ⊕ B Digital IC for XNOR : IC: 74266.

TRUTH TABLE
INPUT		OUTPUT
A	B	X = A ⊕ B	DIAGRAM
0	0	1
0	1	0
1	0	0
1	1	1

IC: 74266 XNOR GATE USING UNIVERSAL GATES

XNOR	XNOR GATE USING NAND GATE	XNOR GATE USING NOR GATE

Designing and Simulating Digital Logic Circuits

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