Ch 1.8 1's and 2's Complement | Digital Logic | Logic Circuit | IOE | Subtraction using Complement

Chapter 1.8 1's complement and 2's Complement Welcome back to GyanShala! In today's Digital Logic lecture, we are diving deep into one of the most important concepts in binary arithmetic: Subtraction using 1's Complement and 2's Complement methods. Whether you are preparing for your engineering exams or building your foundation in logic circuits, this step-by-step tutorial covers everything you need to know to solve these problems confidently. What you will learn in this video: The Basics: Clear understanding of how to find the 1's and 2's complement of any binary number. Standard Subtraction: Step-by-step methods for subtracting a smaller number from a larger one. Negative Results: How to properly subtract a larger binary number from a smaller one and interpret the final sign. Special Cases (Unequal Bits): Detailed walkthroughs on handling subtractions when the two numbers have different bit lengths (word sizes)—a common trick in exams! 00:00 Introduction 00:25 complements intro 01:25 r and r’s complement 03:35 2s complement using formula 05:30 1s complement using formula 06:44 why bit flips in 1s complement 09:13 2s complement from 1s complement 11:04 subtraction using 2s complement 11:15 old question 11:56 case 1 using 2s complement 16:20 case 2 smaller - greater 18:30 case 1 using 1s complement 19:48 case 2 using 1s complement 21:05 special case 1 22:25 special case 2 We work through plenty of practical examples to make sure the logic is crystal clear. Grab your notebook, and let's solve them together! If you found this lecture helpful, please hit the Like button and share it with your classmates. Link to Related Video: Chapter 1.1 Analog and Digital Signals:    • Ch 1.1 Analog and Digital Signal | Digital...   Chapter 1.2 Logic Level Diagram:    • Ch 1.2 Logic Level Diagrams Explained | Po...   Chapter 1.6 Digital Code and Conversion (Number System) - Part 1 | BCT | BEI | BEL | Bsc.CSIT | GyanShala    • Ch 1.6 Digital Code and Conversion (Number...   Chapter 1.6 BCD, GRAY CODE, EXCESS 3 CODE | DIGITAL LOGIC | | GyanShala | IOE | Bsc.CSIT | BCA | OLD QUES    • Ch 1.6 BCD, GRAY CODE, EXCESS 3 CODE | DIG...   Ch 1.7 Alphanumeric Code: ASCII and EBCDIC | Digital Logic | BCT | BEI | BEL | Bsc.CSIT | GyanShala    • Ch 1.7 Alphanumeric Code: ASCII and EBCDIC...      • Ch 1.7 Alphanumeric Code: ASCII and EBCDIC...   Digital Logic | Logic Circuit Playlist:    • Digital Logic | Logic Circuit | IOE | BEX ...   Don't forget to Subscribe to GyanShala for more in-depth tutorials on Digital Logic and electronics engineering. Have a question about one of the special cases? Drop it in the comments below! #Tags: #DigitalLogic #BinarySubtraction #1sComplement #2sComplement #GyanShala #LogicCircuits #EngineeringTutorial #ComputerArchitecture #BinaryMath