AIM: To Study and Verify the Truth Table of Logic Gates.

LEARNING OBJECTIVE:  Identify various ICs and their specification.
COMPONENTS REQUIRED:

  • Logic gates (IC) trainer kit.
  • Connecting patch chords.
  • IC
    1. IC 7404 NOT GATE
    2. IC 7408 AND GATE
    3. IC 7432 OR GATE
    4. IC 7400 NAND GATE
    5. IC 7486 XOR GATE
    6. IC 7402 NOR GATE
    7. IC 74266 XNOR GATE

THEORY:

The basic logic gates are the building blocks of more complex logic circuits. These logic gates perform the basic Boolean functions, such as AND, OR, NAND, NOR, Inversion, Exclusive-OR, Exclusive-NOR. Fig. below shows the circuit symbol, Boolean function, and truth. It is seen from the Fig that each gate has one or two binary inputs, A and B, and one binary output, C. The small circle on the output of the circuit symbols designates the logic complement. The AND, OR, NAND, and NOR gates can be extended to have more than two inputs. A gate can be extended to have multiple inputs if the binary operation it represents is commutative and associative.

The different types of logic gates are:

  1. NOT GATE
  2. AND GATE
  3. OR GATE
  4. NAND GATE
  5. XOR GATE
  6. NOR GATE
  7. XNOR GATE

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
INPUTOUTPUT
XX = XDIAGRAM
01

NOT_GATE
NOT_GATE
10

IC: 7404 NOT GATE USING UNIVERSAL GATES

NOT GATE USING NANDNOT GATE USING NOR GATE

NOT_USING_NAND
NOT_USING_NAND

NOT_USING_NOR
NOT_USING_NOR

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
INPUTOUTPUT
ABX = A . BDIAGRAM
000

AND_GATE
AND_GATE
010
100
111

IC:7408 AND GATE USING UNIVERSAL GATES

AND GATE USING NANDAND GATE USING NOR GATE

AND_USING_NAND
AND_USING_NAND

AND_USING_NOR
AND_USING_NOR

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
INPUTOUTPUT
ABX = A + BDIAGRAM
000

OR_GATE
OR_GATE
011
101
111

IC: 7432 OR GATE USING UNIVERSAL GATES

OR GATE USING NANDOR GATE USING NOR GATE

OR_USING_NAND
OR_USING_NAND

OR_USING_NOR
OR_USING_NOR

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
INPUTOUTPUT
ABX = A . BDIAGRAM
001

NAND_GATE
NAND_GATE
011
101
110

IC: 7400 NAND GATE USING UNIVERSAL GATES

NAND GATENAND GATE USING NOR GATE

NAND_AND_NOT
NAND_AND_NOT

NAND_USING_NOR
NAND_USING_NOR

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
INPUTOUTPUT
ABX = A ⊕ BDIAGRAM
000

XOR_GATE
XOR_GATE
011
101
110

IC: 7486 XOR GATE USING UNIVERSAL GATES

XORXOR UISNG NAND GATEXOR GATE USING NOR GATE

XOR_USING_AND_NOT
XOR_USING_AND_NOT

XOR_GATE
XOR_GATE

XOR_USING_NOR
XOR_USING_NOR

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
INPUTOUTPUT
ABX = A + BDIAGRAM
001

NOR_GATE
NOR_GATE
010
100
110

IC: 7402 NOR GATE USING UNIVERSAL GATES

NOR GATENOR GATE USING NAND GATE

XNOR_USING_AND_NOT
XNOR_USING_AND_NOT

NOR_USING_NAND
NOR_USING_NAND

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
INPUTOUTPUT
ABX = A ⊕ BDIAGRAM
001

XNOR_GATE
XNOR_GATE
010
100
111

IC: 74266 XNOR GATE USING UNIVERSAL GATES

XNORXNOR GATE USING NAND GATEXNOR GATE USING NOR GATE

XNOR_USING_AND_NOT
XNOR_USING_AND_NOT

XNOR_USING_NAND
XNOR_USING_NAND

XNOR_USING_NOR
XNOR_USING_NOR

Designing and Simulating Digital Logic Circuits

To Study and Verify the Truth Table of Logic Gates.

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To Study and Verify the Truth Table of Logic Gates.

9 thoughts on “To Study and Verify the Truth Table of Logic Gates.

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