Information Representation in Computer Systems

Module 1: Introduction to Number Systems

⏳ 1.5 hours

• Topics: Decimal, binary, octal, hexadecimal systems and base conversions.

• Hands-on: Convert values between systems using interactive exercises.

Module 2: Binary Arithmetic

⏳ 2 hours

• Topics: Binary addition, subtraction, multiplication, and division.

• Hands-on: Perform arithmetic operations using binary numbers.

Module 3: Negative Numbers and Two’s Complement

⏳ 1.5 hours

• Topics: Sign representation, one’s and two’s complement.

• Hands-on: Implement negative binary number representations and operations.

Module 4: Floating Point Representation

⏳ 2.5 hours

• Topics: IEEE 754 standard, normalized and denormalized formats, precision.

• Hands-on: Practice encoding/decoding floating point values.

Module 5: Character Encoding

⏳ 1.5 hours

• Topics: ASCII, Unicode, UTF-8, UTF-16, and control characters.

• Hands-on: Convert text to binary using different encoding schemes.

Module 6: Image, Audio, and Video Encoding

⏳ 2 hours

• Topics: Pixels, RGB, image compression, audio sampling, video formats.

• Hands-on: Analyze how real-world media is converted into binary data.

Module 7: Logic and Boolean Algebra

⏳ 2 hours

• Topics: Logic gates, truth tables, Boolean expressions, simplification.

• Hands-on: Create logic circuits using Boolean expressions.

Module 8: Applications and Review

⏳ 2 hours

• Topics: Real-world applications, summary of data representation, final review.

• Hands-on: Solve end-to-end encoding scenarios and practice problems.

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