PIVOT VLSI Institute Logo

Computer Number Systems

Master the foundational mathematics of computing

Course Syllabus

  • Introduction to Number Systems
    • Decimal, Binary, Octal, and Hexadecimal Systems
    • Understanding Radix
  • Number Base Conversions
    • Converting from Decimal to Binary/Octal/Hexadecimal
    • Converting from Binary/Octal/Hexadecimal to Decimal
    • Inter-conversions between Binary, Octal, and Hexadecimal
  • Signed Numbers Representation
    • Sign-Magnitude Representation
    • 1's Complement and 2's Complement Representation
  • Binary Arithmetic
    • Binary Addition
  • Positional and Non-positional Number Systems
    • Positional Number Systems
    • Non-positional Number Systems
  • Gray code
    • Gray code generation
    • Gray code conversion

Course Video Links

Lecture - 1: Intro to Number Systems

Decimal, Binary, Octal, Hexadecimal & Radix.

Watch on YouTube

Lecture - 2: Binary to Octal Conversion

Interactive Practice for Binary to Octal Conversion.

Watch on YouTube

Lecture - 3: Binary to Hexadecimal Conversion

Grouping & Substitution Methods

Watch on YouTube

Lecture - 4: Octal to Binary Conversion

Interactive Practice for Octal to Binary Conversion.

Watch on YouTube

Lecture - 5: Positional Systems

Positional vs Non-positional Number Systems.

Watch Playlist on YouTube

Lecture - 6: Gray Code

Gray code generation and conversions.

Watch Playlist on YouTube

Course Codelabs

Number System Practice

Practice writing numbers in binary, octal, and hexadecimal.

Start Tool

Number System Conversion

Convert numbers between binary, octal, decimal, and hexadecimal with step-by-step logic.

Start Tool

Binary Addition Tool

Practice binary addition with interactive step-by-step guidance.

Start Tool

Gray Code Conversion

Convert between Binary and Gray Code interactively.

Start Tool

Gray Code Practice

Master gray code conversions visually with the mirror tool.

Start Tool

Signed Number Practice

Practice signed magnitude, 1's complement, and 2's complement conversions.

Start Tool

4-Bit Number Wheel

Visualize 2's complement and 10's complement systems with an interactive wheel.

Start Tool

2's Complement Conversion

Step-by-step 2's complement calculation and full adder truth table.

Start Tool

Have Doubts?

Join our Arattai chat group to ask questions and discuss with peers and instructors.

Arattai Join Arattai Chat
Join Arattai Group