Axiomatic Basis of Switching Algebra

Question 1

What are the basis of switching algebra?

Answer 1

Huntington’s axioms, used to perform analysis of Combinational Logic Theory

Question 2

What does a truth table do?

Answer 2

list all input variable combinations and specifies the output for each input combination

Question 3

What does a Karnaugh map do?

Answer 3

offeres a preferable graphic alternative to algebraic simplification

Question 4

What do canonical forms do?

Answer 4

facilitate assembly of switching function elements into specific logic functions.

Question 5

Objective: build bridges that allow you to move to and from switching equations, truth tables, and Karnaugh Maps.

Answer 5

Repeat

Question 6

Logic Design starts with an informal word description. The challenge, however, is what?

Answer 6

to convert the informal description to a formal description so that you can proceed to synthesize a solution (logic circuit)

Question 7

What is Axiom 1?

Answer 7

Commutation

Question 8

What is Axiom 2?

Answer 8

Distribution

Question 9

What is Axiom 3?

Answer 9

Neutral Elements Exist

Question 10

What is Axiom 4?

Answer 10

Inverse Elements Exist

Question 11

What is Axiom 5

Answer 11

there exist at least two elements in x,y in S such that x does not equal y

Question 12

What is axiom 6?

Answer 12

if elements x and y are members of the set S, then elements x*y and x + y are also members of S