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Sop & Pos

The lab focused on implementing Sum-of-Products (SOP) and Product-of-Sums (POS) expressions using basic and universal logic gates on a digital trainer kit. The experiment included connecting logic gates, input switches, and output LEDs, and verifying truth tables for both SOP and POS implementations. The hands-on experience enhanced understanding of practical logical function implementations.

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187 views3 pages

Sop & Pos

The lab focused on implementing Sum-of-Products (SOP) and Product-of-Sums (POS) expressions using basic and universal logic gates on a digital trainer kit. The experiment included connecting logic gates, input switches, and output LEDs, and verifying truth tables for both SOP and POS implementations. The hands-on experience enhanced understanding of practical logical function implementations.

Uploaded by

pranabexprana
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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3.

Experiment Title: Implementation of Sum-of-Products (SOP) and Product-of-Sums (POS) using


Basic and Universal Logic Gates

Objective:
The objective of this lab is to explore the creation and implementation of Sum-of-Products (SOP) and
Product-of-Sums (POS) expressions using basic logic gates (AND, OR, NOT) and universal gates
(NAND, NOR) on a digital trainer kit.

Equipment and Components:

1. Breadboard Trainer Kit

2. Basic Logic Gates (AND, OR, NOT)

3. Universal Logic Gates (NAND, NOR)

4. Connecting wires

5. Power supply

Experiment Procedure:
Part 1: Implementation of SOP Expression using Basic and Universal Gates

1. Connect the power supply to the trainer kit.

2. Insert the required logic gate ICs (e.g., 7400 for NAND, 7402 for NOR, etc.) into the trainer kit.

3. Connect input switches (push buttons) and output LEDs on the breadboard.

4. Choose a Boolean function e.g., F(A, B, C) and write its Sum-of-Products (SOP) expression
(Y=AB+BC+AC).

5. Implement the SOP expression using a combination of basic and universal gates.

6. Verify the truth table for the SOP implementation.


Observations for SOP Implementation:
Y=AB+BC+AC

Truth table:

A B C AB BC AC Y = AB + BC + AC
0 0 0 0 0 0 0
0 0 1 0 0 0 0
0 1 0 0 0 0 0
0 1 1 0 1 0 1
1 0 0 0 0 0 0
1 0 1 0 0 1 1
1 1 0 1 0 0 1
1 1 1 1 1 1 1

Part 2: Implementation of POS Expression using Basic and Universal Gates

1. Replace or reconfigure the logic gate ICs for the POS implementation.

2. Connect input switches and output LEDs on the breadboard.

3. Write the Product-of-Sums (POS) expression for the same Boolean function.

Y=(A+B) (B’+C) (A’+C)

4. Implement the POS expression using a combination of basic and universal gates.

5. Verify the truth table for the POS implementation.

Observations for POS Implementation:


Y=(A+B) (B’+C) (A’+C)

Truth table:

A B C (A+B) (B’+C) (A’+C) Y=(A+B) (B’+C) (A’+C)


0 0 0 0 1 1 0
0 0 1 0 1 1 0
0 1 0 1 0 1 0
0 1 1 1 1 1 1
1 0 0 1 1 0 0
A B C (A+B) (B’+C) (A’+C) Y=(A+B) (B’+C) (A’+C)
1 0 1 1 1 1 1
1 1 0 1 0 0 0
1 1 1 1 1 1 1

Conclusion:
In this lab, we successfully implemented Sum-of-Products (SOP) and Product-of-Sums (POS)
expressions using a combination of basic and universal logic gates on a digital trainer kit. This hands-
on experience provides valuable insights into the practical implementation of different logical
functions using a variety of gates.

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