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Full Subtractor Explained with Truth Table and Circuit Diagram - 4-Bit Ripple Borrow Subtractor Example

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Overview

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Learn the fundamentals of Full Subtractors in digital electronics through a comprehensive 30-minute tutorial that covers theory, implementation, and practical applications. Explore how Full Subtractors operate with three inputs (A, B, and Borrow-in) and understand their key differences from Half Subtractors. Master the concept of Borrow-out and discover how multiple Full Subtractors connect to create a 4-bit Ripple Borrow Subtractor for binary subtraction operations. Examine detailed truth tables and logic equations that govern Full Subtractor behavior, then work through K-Map simplification techniques to derive output expressions for both Difference and Borrow outputs. Study the complete circuit diagram construction using logic gates and follow a step-by-step example of 4-bit binary subtraction using the Ripple Borrow Subtractor architecture. Perfect for computer science, IT, and electronics engineering students studying Boolean algebra, logic gates, and digital circuits as part of their academic curriculum or exam preparation for GATE and UGC NET.

Syllabus

0:00 Introduction & Recap
01:24 Full Subtractor Theory
04:39 Truth Table of Full Subtractor
09:23 K-Map of Full Subtractor Output Expressions
17:15 Circuit Diagram of Full Subtractor
20:58 4-bit Ripple Borrow Subtractor Example
28:49 Summary & Conclusion

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