Binary Subtraction |Binary Addition | Computer Architecture in Hindi |lec 3

Introduction

This tutorial covers binary subtraction and addition, essential operations in computer architecture. Understanding these concepts is crucial, as digital systems primarily operate in binary format. By mastering binary arithmetic, you can enhance your skills in programming, digital electronics, and computer science.

Step 1: Understand Binary Basics

• Binary System: The binary number system uses only two digits, 0 and 1. Each digit represents a power of 2.
• Place Value: Similar to the decimal system, each position in a binary number has a value based on its position (2^0, 2^1, 2^2, etc.).

Step 2: Learn Binary Addition

Binary addition follows simple rules:

1. 0 + 0 = 0
2. 0 + 1 = 1
3. 1 + 0 = 1
4. 1 + 1 = 0 (carry 1 to the next higher bit)

Example of Binary Addition

• Add 1011 and 1101:

          1  (carry)
        1011
      + 1101
      --------
      11000
  

• Result: 11000 (which is 24 in decimal).

Step 3: Learn Binary Subtraction

Binary subtraction can be performed using borrowing:

1. 0 - 0 = 0
2. 1 - 0 = 1
3. 1 - 1 = 0
4. 0 - 1 requires borrowing from the next left bit.

Example of Binary Subtraction

• Subtract 1010 from 1100:

          1 1  (borrow)
        1100
      - 1010
      --------
        0010
  

• Result: 0010 (which is 2 in decimal).

Step 4: Practice Binary Operations

• Exercises: Try adding and subtracting different binary numbers.
• Common Pitfalls:
  • Forgetting to carry over in addition.
  • Forgetting to borrow in subtraction.

Step 5: Apply Binary Arithmetic in Programming

• Programming Context: Use binary arithmetic in programming tasks such as bit manipulation, low-level data processing, and performance optimization.
• Example Code in Python:

  # Binary addition
  a = 0b1011  # 11 in decimal
  b = 0b1101  # 13 in decimal
  result = bin(a + b)  # Result in binary
  print(result)  # Output: 0b11000
  
  # Binary subtraction
  a = 0b1100  # 12 in decimal
  b = 0b1010  # 10 in decimal
  result = bin(a - b)  # Result in binary
  print(result)  # Output: 0b10
  

Conclusion

In this tutorial, you learned the fundamentals of binary addition and subtraction, crucial for understanding computer architecture and programming. Regular practice with these operations will enhance your computational skills. For further learning, explore topics such as binary multiplication and division, which build upon these concepts.