- Number Representations
- Binary Representation of Information
- Converting between decimal and binary
- BINARY, OCTAL and HEXADECIMAL NUMBERS
- EXAMPLES
- Binary representation of signed integers
- Binary representation of everything else
- ASCII Conversion Table
- Connection to the world of hardware
- Tutorial
- Number System Conversion Tool

- Binary Addition
- Binary Arithmetic - Addition
- EXAMPLE Using Triple Addition
- Binary Subtraction
- Binary Subtraction
- 2's Complement Subtraction
- Decimal Subtraction by Complementary Addition - Demonstration
- Binary Subtraction by Complementary Addition
- REPRESENTING NEGATIVE NUMBERS
- Remarks on two's complement
- WHY 2's-COMPLEMENT?

- Binary Multiplication
- Binary Multiplication by Repeated Addition
- Binary Multiplication by "Long Multiplication"
- Binary Multiply - Repeated Shift and Add
- Binary Division
- Binary Division by Repeated Subtraction
- Binary Division by Shift and Subtract

- Boolean Logic and Algebra
- Tables of Boolean Logic "Arithmetic" In Terms of "True and False"
- Tables of Boolean Logic "Arithmetic" In Terms of "0 and 1"
- Boolean Expressions
- Boolean Notations
- Graded Activities
- Boolean Algebra
- Boolean Algebra Exercise

- Problem Solving with Truth Tables
- Truth Functions Defined as Truth Tables
- Example: a simple Boolean function
- Using Truth Tables
- Proving the Equivalence of Boolean Equations - I
- Proving the Equivalence of Boolean Equations - II
- Proving the Equivalence of Boolean Equations - III

- Discover Boolean Equations
- Truth Table to Boolean Expression
- 1-Column Addition - Three Digit Addition
- Boolean Expressions and Algorithms
- Boolean Expressions and Algorithms II

- Digital Circuits - A Quick History
- Mechanical Switching
- Mechanical Switching - Relays
- Transistors, Gates, and Circuits
- Gates
- Circuits
- From Boolean functions to circuit diagrams
- Tables to Expressions

- Boolean Terms to Circuits
- Polish Notation
- Boolean Terms to Circuits
- Truth Table to Boolean Expression - Example(Exclusive OR)
- Circuit Design

Last Updated 2001/04/12

© J.A.N. Lee, 2000-2001.