Скачать или смотреть Binary Subtraction | Binary Arithmetic | Digital System Design | Lecture-15

In this lecture, we take a complete deep dive into Binary Subtraction — one of the core operations in the binary number system and a foundation for many digital circuit designs. We begin by explaining the basic rules of binary subtraction for all possible bit combinations:
0 – 0 = 0 (no borrow)
1 – 0 = 1 (no borrow)
1 – 1 = 0 (no borrow)
0 – 1 = 1 (borrow required)

From here, we explain what borrowing means in binary, how it differs from decimal borrowing, and why in binary subtraction we add "2" (binary 10) to the current column when borrowing from the next higher bit. You’ll see exactly how the borrow propagates if the immediate next bit is also 0, and how to handle chain borrows across multiple bits.

We then work through multiple examples step-by-step, showing the subtraction process bit-by-bit from right to left. Every borrow, sum, and intermediate step is clearly explained so you’ll never get lost. We also verify each binary subtraction example by converting the binary numbers to decimal, performing the subtraction in decimal, and then converting the result back to binary — this way, you can confirm your answers with confidence.

The lecture also covers:
Borrowing across multiple zeros (chain borrow)
Special case when the result has leading zeros
How binary subtraction is implemented in digital circuits and subtractor logic
The connection between binary subtraction and binary addition using complements (2’s complement method — introduced for future lectures)

By the end of this lecture, you will:
Master the four basic binary subtraction rules
Know exactly when and how to apply borrowing in binary
Be able to subtract binary numbers quickly and accurately in exams
Understand how subtraction logic works inside processors and ALUs (Arithmetic Logic Units)

This lecture is essential for students studying Digital System Design, Computer Organization, Digital Electronics, and Electronics Engineering, and is equally valuable for competitive exams like GATE, ESE, and other engineering entrance or semester exams. With the detailed explanations, worked examples, and verification methods, you will build both confidence and speed in binary subtraction.

🎥 Instructor: Naveen Singh
📚 Channel: Engineers Choice Tutor
📖 Subject: Digital System Design

Playlist link :    • Digital System Design | Digital Circuit & ...  

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