Data Representation and Arithmetic – Chapter 2 | IT1206 Computer Systems

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About Course

Stop Losing Marks to Small Binary Arithmetic Mistakes

At the heart of all computing is how a machine processes raw bits. While computing numbers sounds simple, managing how a computer handles signed integers, fractional boundaries, and character codes under strict exam conditions is where many students lose critical marks.

If you get confused between a carry and an overflow, or if the 32-bit IEEE-754 Single Precision standard looks like a foreign language, this course is your solution. We strip away the academic jargon and show you the exact, repeatable algorithms to ace every conversion, complement, and floating-point problem in the IT1206 Computer Systems syllabus.

What You Will Learn (Course Curriculum)

2.0. Introduction
2.1. Positioning Numbering Systems
2.2. Conversions
2.2.1. Converting Unsigned Whole Numbers
2.2.2. Converting Fractions
2.2.3. Decimal – Binary, Octal, Hexadecimal Conversions
2.2.3.1 Octal Number System
2.2.3.2 Hexadecimal Number System
2.2.3.3 Octal – Hexadecimal Conversion
2.2.4. Binary Arithmetic
2.3. Signed Integer Representation
2.3.1. Unsigned Representation: non-negative integers
2.3.2. Signed Integer Representation
2.3.3. Complement Systems
2.3.4. Carry versus Overflow
2.4. Floating-point Representation: Fractions
2.4.1. Fractions and Scientific Notation
2.4.2. Floating-point Format in 1 Byte
2.4.3. Floating-Point Arithmetic
2.4.4. The IEEE-754 Floating-Point Standard
2.4.5. Floating-Point Errors
2.4.6. Range of Floating-Point Representation In 1 Byte
2.4.7. Range of IEEE-754 Single Precision FP Representation
2.4.8. Additional Problems with Floating-Point Numbers
2.5. Character Codes

Who is this course for?

  • UCSC BIT Students preparing for the IT1206 exam who want to lock down high-scoring arithmetic marks.

  • Computer Science Undergraduates struggling to visualize how data scales down to hardware components and bits.

  • Any student who wants to eliminate careless calculation errors in binary and floating-point math.

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What Will You Learn?

  • Positioning Numbering Systems
  • Number System Conversions
  • Signed Integer Representation
  • Floating-point Representation
  • Character Codes

Course Content

2.0. Introduction

  • Introduction
    02:53

2.1. Positioning Numbering Systems

2.2. Conversions

2.3. Signed Integer Representation

2.4. Floating-point Representation: Fractions

2.5. Character Codes

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