Description:

This course provides a complete and clear understanding of computer number systems, focusing specially on number system conversions, which are a core part of BCA, BSc CS, and other computer science syllabi. The course starts from the basics of number systems and gradually builds strong concepts required to convert numbers between Decimal, Binary, Octal, and Hexadecimal systems. Students will learn step-by-step conversion methods, including integer and fractional conversions, along with shortcut techniques commonly used in university exams and competitive tests. Each concept is explained with simple logic, solved examples, and practice problems, making it easy even for beginners to understand. This course is theory + numericals oriented, perfectly suitable for exam preparation, concept building, and programming fundamentals. By the end of the course, students will be confident in solving any number system conversion problem asked in exams or interviews.

Key Highlights:

• Binary, Decimal, Octal, Hexadecimal Systems
• Number Conversion Techniques

What you will learn:

UNIT I: Introduction to Number Systems

1.What is a Number System?

2. Need of Number Systems in Computers

3. Positional and Non-Positional Number Systems

1. Base (Radix) of a Number System

2. Decimal Number System

3. Binary Number System

4. Octal Number System

5. Hexadecimal Number System

6. Comparison of All Number Systems

7. Valid Digits in Different Number Systems

UNIT II: Decimal Number System Conversions

1. Decimal to Binary Conversion

   • Integer part conversion

   • Fractional part conversion

2. Decimal to Octal Conversion

3. Decimal to Hexadecimal Conversion

4. Solved Examples

5. Practice Problems

UNIT III: Binary Number System Conversions

1. Binary to Decimal Conversion

2. Binary to Octal Conversion

3. Binary to Hexadecimal Conversion

4. Shortcut Methods for Binary Conversion

5. Solved Numerical Examples

UNIT IV: Octal Number System Conversions

1. Octal to Decimal Conversion

2. Octal to Binary Conversion

3. Octal to Hexadecimal Conversion

4. Step-by-Step Examples

UNIT V: Hexadecimal Number System Conversions

1. Hexadecimal to Decimal Conversion

2. Hexadecimal to Binary Conversion

3. Hexadecimal to Octal Conversion

4. Use of Hexadecimal in Computers

5. Solved Problems