Binary Multiplier and Divider Digital Electronics

Welcome to our channel! In today’s video, we explore the fascinating world of binary multipliers and dividers, two essential components in digital electronics that enable arithmetic operations in computers and digital devices.

🔢 What You’ll Learn:

Basic Concepts: We’ll start with the fundamentals of binary multiplication and division, explaining how these processes differ from their decimal counterparts.

Multiplication Techniques: Discover various methods for binary multiplication, including:

Shift and Add Method: The basic technique behind binary multiplication.
Booth's Algorithm: An efficient way to handle both positive and negative multipliers.
Array Multiplier: A grid-based approach for calculating products.
Wallace Tree Multiplier: A fast method that uses a tree structure for partial products.
Division Techniques: We’ll delve into binary division and cover:

Restoring Division: A simple, intuitive method.
Non-Restoring Division: A faster alternative that eliminates unnecessary steps.
SRT Division: An advanced technique for high-speed applications.
Using Multiplicative Inverses: A clever approach that turns division into multiplication.
Hardware Implementations: Understand how these operations are physically realized in hardware, including the use of shift registers, adders, and control logic.

Real-World Applications: See how binary multipliers and dividers are used in CPUs, digital signal processors, and more!

Whether you’re a student, a professional, or just curious about digital electronics, this video is packed with valuable insights to enhance your understanding of how computers perform arithmetic operations.

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1. DIGITAL ELECTRONICS Presented by Binary Multiplier and Divider Name - Shubham Kumar Section – A Course – B.Tech (AI & DS) Erp - 22709 Enrollment no – 23tec2cs275 Submitted To MS. SEEMA VERMA

2. Binary Multiplication Multiplication of Binary numbers is Similar to Arithmetic multiplication with decimal numbers. The only difference is that binary multiplication involves 0 and 1, whereas, decimal multiplication involves 0 to 9. There are four rule of Binary Multiplication Multiplicand Multiplier Product 0 = 0 1 1 = 0 1 1 1 1 1 Multiplicand Multiplier Product 1 1 1 1

3. Binary Multiplication Example 1: Solve 101 110   Solution: 101 110   000 101X 101XX 11110 Comparison with Decimal value 101 = 5 110 = 6 6 * 5 = 30 101 * 110 = 1110

4. Binary Multiplication Example 2: Solve 10111 1110   10111 ×1110 00000 10111X 10111XXX 10111XX 0101000010 23 14 322 SUM

5. Binary Multiplication Example 3: Solve 1.101 110.1   1.101 110.1   1101 0000x 1101xx 1101xxx 1010.1001 1.625 6.5 10.5625

6. Binary Division Binary division is similar to decimal division, except that the base of the number system is 2 instead of 10. A/B Result 0/0 0/1 1/0 1/1 1 A/B Result 0/0 0/1 1/0 1/1 1 There are four rule of Binary Division

7. Binary Division Example 1: Solve 11010/101 101 11010 101 110 101 001 101 5 5 26 1

8. Binary Division Example 2: Solve 1011.11/11 11 1011.110 11 101 11 101 11 101 11 100 11 01 11.111 - - 101 - - - - 3.875 11.75 1 3

9. Thank You