Digital Logic Design - Introduction, Logic Gates, Boolean Algebra

Implementing Logic Functions

• Universal gates, such as NAND or NOR, are needed to implement any logic function.

Boolean Algebra Simplification

• Karnaugh Map (K-Map) is the process of simplifying Boolean algebraic expressions using a rectangular map.

Boolean Expressions

• The primary purpose of deriving Boolean expressions from a truth table is to create a compact and efficient representation of a logical function.

Handling Undefined Inputs

• A Karnaugh Map (K-Map) is used when there are some combinations of inputs for which no specific output behavior is defined.

Standard Form for Boolean Functions

• The standard form for expressing Boolean functions in terms of sum of minterms or product of maxterms is called Canonical Form.

Logic Gates

• An AND gate gives a high output only if all its inputs are high.
• The AND operation is represented in electronic circuits using a dot (.) symbol.

Gate Identification

• The gate with the truth table defined as A (0, 0, 1, 1), B (0, 1, 0, 1), Z (0, 0, 0, 1) is an XOR gate.

Representing Boolean Values

• The common way of representing false and true values in computer architecture is using 0 and 1, respectively.

Computer Architecture

• The basic building blocks of a computer are logic gates.