AKA | N/A |
Classification | Analyzing/Trending (AT) |
A truth table is used to define truth values of statements (sentences) or fundamental operations of symbolic logic. Various types of logical statements or propositions stated in symbolic form can be verified for their truth value or reality. Since symbolic logic is often considered identical with Boolean algebra, truth tables are often used to determine outputs (true or false) of electronic logic gates or circuits.
To identify relationships among a set of existing conditions.
To illustrate logical statements using a set of predefined symbols.
→ | Select and define problem or opportunity |
Identify and analyze causes or potential change | |
→ | Develop and plan possible solutions or change |
Implement and evaluate solution or change | |
Measure and report solution or change results | |
Recognize and reward team efforts |
Research/statistics | |
Creativity/innovation | |
1 | Engineering |
Project management | |
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before
Venn Diagram
Breakdown Tree
Influence Diagram
Starbursting
Semantic Intuition
after
Fault Tree Analysis
Critical Dialogue
Problem Specification
Different Point of View
Run-It-By
Table of symbols for propositional logic
Truth values:
A truth value of 1 means a true (T) statement, condition, or logic output of 1 (active).
A truth value of 0 means a false (F) statement, condition, or logic gate output of 0 (inactive).
Truth tables:
Basic logic gates (building blocks for logic circuits)
STEP 1 A number of logical operations are drawn to produce a certain end result. See example Telecommunication Equipment Failure.
STEP 2 Logic gates are connected in an order that produces certain output indications, as shown in this example.
STEP 3 The completed logic circuit sketch is checked by running 1s (active) and Os (inactive) levels through the circuit.
STEP 4 All input combinations are checked to produce a particular output level as demonstrated by a truth table for the circuit functions under considerations.