Subtraction Using (R-1)'s Complement | 1's & 9's Complement | Digital System Design | Lecture-22

In this lecture, we dive into the concept of subtraction using (r–1)’s complement – one of the most important methods in Digital System Design. Instead of performing direct subtraction, we make use of complements to simplify subtraction into addition, which is very useful in digital systems and computer arithmetic. 🔹 What You’ll Learn in This Lecture: ✔️ Why subtraction using complements is preferred in digital systems ✔️ Step-by-step procedure to perform subtraction using (r–1)’s complement ✔️ Decimal subtraction using 9’s complement ✔️ Binary subtraction using 1’s complement ✔️ Carry rules – what to do when carry is generated or not generated ✔️ Multiple solved examples for better understanding ✔️ Tricks and shortcuts to avoid mistakes in exams 🔹 Why It’s Important? Complement-based subtraction is the backbone of how subtraction is handled in computer hardware. Instead of designing separate subtractors, digital systems only need adders and complement logic, which reduces complexity. This lecture is designed in a beginner-friendly way with detailed explanations, solved examples, and exam-oriented tips. By the end, you’ll be confident in solving subtraction problems using both 9’s complement (decimal) and 1’s complement (binary). ✨ Perfect for: ✔️ Engineering Students (ECE, CSE, EE, IT) ✔️ GATE, ESE, and University Exam Preparation ✔️ Anyone learning Digital Electronics or Computer Arithmetic 🎥 Instructor: Naveen Singh 📚 Channel: Engineers Choice Tutor 📖 Subject: Digital System Design Playlist link :    • Digital System Design | Digital Circuit & ...   📌 Don’t forget to Like, Share, and Subscribe to stay updated with more exam-focused and easy-to-understand lectures. #onescomplementsubtraction #ninescomplementsubtraction #subtractionusingcomplements #binarysubtraction #decimalsubtraction #numbersystem #digitalelectronics #digitalsystemdesign #computerarithmetic #engineeringmaths #ecesubjects