DIGITAL ELECTRONICS. Everything in digital world is based on binary system. Numerically it involves only two symbols 0 or 1. –0 = False = No –1 = True.

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Presentation transcript:

DIGITAL ELECTRONICS

Everything in digital world is based on binary system. Numerically it involves only two symbols 0 or 1. –0 = False = No –1 = True = Yes Binary Number System : Easy to design stable electronic circuits. Digital Logic

DIGITAL ELECTRONICS Digital circuits need to be as simple as possible. Complex logical expressions should be reduced to simpler expressions, however, produce same results under all conditions. Benefit: Simpler expressions can be implemented with simpler circuits, which are cost effective. Boolean Algebra

DIGITAL ELECTRONICS Mathematics of logical expression is the tool to reduce the complicated expressions. Introduced by George Boole in 1854 and known today as Boolean Algebra. The rules of Boolean Algebra is simple and straightforward, can be applied to any logical expression. Boolean Algebra

DIGITAL ELECTRONICS For two binary variables (taking 0 and 1), there are 16 possible functions. These functions involve only three operations: Boolean Algebra

DIGITAL ELECTRONICS 16 Functions

DIGITAL ELECTRONICS Boolean Algebra Theorems

DIGITAL ELECTRONICS Gates are fundamental building blocks of digital logic circuitry. These devices operate by “closing” or “opening” to admit or reject the passage of logical signal. Gates

Basic gate types are –AND –OR –XOR –NOT A vast array of gating functions can be created from these basic gates. DIGITAL ELECTRONICS

The AND Gate DIGITAL ELECTRONICS Truth Table

The AND Gate DIGITAL ELECTRONICS Truth Table

IC7408 DIGITAL ELECTRONICS Ground +6 V