**STUDY OF BASIC DIGITAL ICS**

**AIM:**

**To verify the truth table of basic digital ICs of AND, OR, NOT, NAND, NOR, EX-OR gates.**

**APPARATUS REQUIRED:**

S.No | Name of the Apparatus | Range | Quantity |

1. | Digital IC trainer kit | | 1 |

2. | AND gate | IC 7408 | 1 |

3. | OR gate | IC 7432 | 1 |

4. | NOT gate | IC 7404 | 1 |

5. | NAND gate | IC 7400 | 1 |

6. | NOR gate | IC 7402 | 1 |

7. | EX-OR gate | IC 7486 | 1 |

8. | Connecting wires | As required | |

**THEORY:**

**AND gate:**

**An AND gate is the physical realization of logical multiplication operation. It is an electronic circuit which generates an output signal of ‘1’ only if all the input signals are ‘1’.**

**OR gate:**

**An OR gate is the physical realization of the logical addition operation. It is an electronic circuit which generates an output signal of ‘1’ if any of the input signal is ‘1’.**

**NOT gate:**

**A NOT gate is the physical realization of the complementation operation. It is an electronic circuit which generates an output signal which is the reverse of the input signal. A NOT gate is also known as an inverter because it inverts the input.**

**NAND gate:**

**A NAND gate is a complemented AND gate. The output of the NAND gate will be ‘0’ if all the input signals are ‘1’ and will be ‘1’ if any one of the input signal is ‘0’.**

**NOR gate:**

**A NOR gate is a complemented OR gate. The output of the OR gate will be ‘1’ if all the inputs are ‘0’ and will be ‘0’ if any one of the input signal is ‘1’.**

**EX-OR gate:**

**An Ex-OR gate performs the following Boolean function,**

**A**

**B = ( A . B’ ) + ( A’ . B )**

**It is similar to OR gate but excludes the combination of both A and B being equal to one. The exclusive OR is a function that give an output signal ‘0’ when the two input signals are equal either ‘0’ or ‘1’.**

**PROCEDURE:**

**1. Connections are given as per the circuit diagram**

**For all the ICs 7**^{th }pin is grounded and 14^{th}pin is given +5 V supply.**Apply the inputs and verify the truth table for all gates.**

__AND GATE__**LOGIC DIAGRAM:**

**PIN DIAGRAM OF IC 7408 :**

**CIRCUIT DIAGRAM:**

**TRUTH TABLE:**

S.No | INPUT | OUTPUT | |

A | B | Y = A . B | |

1. | 0 | 0 | 0 |

2. | 0 | 1 | 0 |

3. | 1 | 0 | 0 |

4. | 1 | 1 | 1 |

__OR GATE__**LOGIC DIAGRAM:**

**PIN DIAGRAM OF IC 7432 :**

**CIRCUIT DIAGRAM:**

**TRUTH TABLE:**

S.No | INPUT | OUTPUT | |

A | B | Y = A + B | |

1. | 0 | 0 | 0 |

2. | 0 | 1 | 1 |

3. | 1 | 0 | 1 |

4. | 1 | 1 | 1 |

__NOT GATE__**LOGIC DIAGRAM:**

**PIN DIAGRAM OF IC 7404 :**

**CIRCUIT DIAGRAM:**

**TRUTH TABLE:**

S.No | INPUT | OUTPUT |

A | Y = A’ | |

1. | 0 | 1 |

2. | 1 | 0 |

__NAND GATE__**LOGIC DIAGRAM:**

**PIN DIAGRAM OF IC 7400 :**

**CIRCUIT DIARAM:**

**TRUTH TABLE:**

S.No | INPUT | OUTPUT | |

A | B | Y = (A. B)’ | |

1. | 0 | 0 | 1 |

2. | 0 | 1 | 1 |

3. | 1 | 0 | 1 |

4. | 1 | 1 | 0 |

__NOR GATE__**LOGIC DIAGRAM:**

**PIN DIAGRAM OF IC 7402 :**

**CIRCUIT DIAGRAM:**

**TRUTH TABLE:**

S.No | INPUT | OUTPUT | |

A | B | Y = (A + B)’ | |

1. | 0 | 0 | 1 |

2. | 0 | 1 | 0 |

3. | 1 | 0 | 0 |

4. | 1 | 1 | 0 |

__EX-OR GATE__**LOGIC DIAGRAM**

**PIN DIAGRAM OF IC 7486:**

**CIRCUIT DIAGRAM:**

**TRUTH TABLE:**

S.No | INPUT | OUTPUT | |

A | B | Y = A B | |

1. | 0 | 0 | 0 |

2. | 0 | 1 | 1 |

3. | 1 | 0 | 1 |

4. | 1 | 1 | 0 |

**RESULT:**

**The truth table of all the basic digital ICs were verified.**

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