Digital Logic Design Report

Instructor: Shima Tabibian
Course: Principles of Computer Systems Laboratory
Academic Year: 2023–2024

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1. Binary to Gray and Gray to Binary Converter

This circuit converts a 4-bit binary number to Gray code and vice versa.

• Binary to Gray: MSB remains unchanged; each next bit is the XOR of current and previous binary bit.
• Gray to Binary: MSB remains unchanged; each next binary bit is the XOR of previous binary and current Gray bit.

Tested with two 4-bit inputs. Conversions were successful in both directions.

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2. Full Adder Design

A full adder circuit was designed to add two bits and a carry-in. The outputs are a sum and a carry-out.

Verified over all 8 input combinations (A, B, Carry-in). All outputs matched expected values.

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3. 3-bit Binary Adder Using Full Adders

Three full adders were chained to create a 3-bit binary adder. Each full adder processes corresponding bits and propagates carry.

Tested with two different 3-bit numbers. Final sum and carry-out were correct.

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Conclusion

This lab project covered:

• Binary–Gray code conversion
• Full adder design and operation
• Building a multi-bit adder using chained full adders

All circuits were successfully implemented and tested using Logicly.