Analog and Digital C - Conclusion of logic Gate Function realization, undefined for Analog and Digital C. Vellore Institute of Technology (VIT) University

Analog and Digital C

Description: In this document topics covered which are Two-Level Combinational Logic, Motivation, Chapter Overview, Boolean Algebra, From Expressions to Gates, Logic Functions.
Showing pages  1  -  4  of  94
No. 2-1
Chapter #2: Two-Level Combinational Logic
No. 2-2
Motivatio
n
Rapid prototyping technology
Use of computer aided design tools: espresso
Design Techniques that Spanning Multiple Technologies
Transistor-Transistor Logic (TTL)
Complementary Metal on Oxide Silicon (CMOS)
Multiple Design Representations
Truth Tables
Static gate descriptions
Dynamic waveform descriptions
Further Amplification on the Concepts of Chapter #1:
No. 2-3
Chapter Overview
Logic Functions and Switches
Not, AND, OR, NAND, NOR, XOR, XNOR
Gate Logic
Laws and Theorems of Boolean Algebra
Two Level Canonical Forms
Incompletely Specified Functions
Two Level Simplification
Boolean Cubes
Karnaugh Maps
Quine-McClusky Method
Espresso Method
No. 2-4
Logic Functions: Boolean Algebra
is Algebraic structure consisting of:
set of elements B
binary operations {+, }
unary operation {'}
such that the following axioms hold:
1. B contains at least two elements, a, b, such that ab
2. Closure a,b in B,
(i) a + b in B
(ii) a b in B
3. Commutative Laws: a,b in B,
(i) a + b = b + a
(ii) a b = b a
4. Identities: 0, 1 in B
(i) a + 0 = a
(ii) a 1 = a
5. Distributive Laws:
(i) a + (b c) = (a + b) (a + c)
(ii) a (b + c) = a b + a c
6. Complement:
(i) a + a' = 1
(ii) a a' = 0
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