DIGITAL_LOGIC

The Language of 0 and 1

From Philosophy to Physics

Digital logic is the abstraction layer that sits between the raw physics of electricity and the intelligent behavior of software. It builds complex decisions out of the simplest possible parts.

FULL_ADDER

1-BIT ALU SLICE

SUM = A ⊕ B ⊕ C

COUT = AB + C(A ⊕ B)

SUM (S)

C-OUT

0 + 0 + 0 = 00 (Binary)

0 (Decimal)

Boolean Algebra

The math of True/False. Developed by George Boole in 1847, it reduces logical thought to algebraic equations ($A \cdot B = C$).

Logic Gates

Physical devices that implement Boolean functions. Transistors arranged to perform AND, OR, NOT operations.

[Image of logic gate symbols]

Combinational Logic

Circuits where output depends only on current input. Adders, Multiplexers (MUX), and Decoders.

[Image of full adder circuit diagram]

Sequential Logic

Circuits with memory. Flip-flops and Latches use 'feedback' loops to store state ($Q_{next} = f(Input, Q_{current})$).