Tool 207: Truth Table


AKA

N/A

Classification

Analyzing/Trending (AT)

Tool description

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.

Typical application

  • To identify relationships among a set of existing conditions.

  • To illustrate logical statements using a set of predefined symbols.

Problem-solving phase

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

Typically used by

Research/statistics

Creativity/innovation

1

Engineering

Project management

Manufacturing

Marketing/sales

2

Administration/documentation

Servicing/support

Customer/quality metrics

Change management

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links to other tools

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

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Notes and key points

  • 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:

    click to expand

  • Basic logic gates (building blocks for logic circuits)

    click to expand

Step-by-step procedure

  • 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.

Example of tool application

click to expand




Six Sigma Tool Navigator(c) The Master Guide for Teams
Six Sigma Tool Navigator: The Master Guide for Teams
ISBN: 1563272954
EAN: 2147483647
Year: 2005
Pages: 326

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