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truth table

C1
UK/ˈtruːθ ˌteɪ.bəl/US/ˈtruːθ ˌteɪ.bəl/

Technical

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Definition

Meaning

A structured chart used in logic to show all possible combinations of input values for logical variables and the resulting output value of a logical expression.

Any tabular representation used to systematically enumerate the outcomes of a process based on binary or discrete inputs.

Linguistics

Semantic Notes

The term is primarily used in formal logic, mathematics, computer science, and electrical engineering. It is a compound noun where 'truth' refers to the binary states of true/false.

Dialectal Variation

British vs American Usage

Differences

No significant difference in meaning or usage between UK and US English. Spelling conventions follow standard national norms (e.g., 'analyse' vs. 'analyze' in surrounding text).

Connotations

Purely technical and neutral in both dialects.

Frequency

Equally common in academic and technical contexts in both regions.

Vocabulary

Collocations

strong
construct a truth tablecomplete the truth tabletruth table fortruth table method
medium
simple truth tablelogical truth tablebinary truth table
weak
complex truth tabledetailed truth tablestandard truth table

Grammar

Valency Patterns

[verb] a truth table for [logical expression]The truth table [shows/demonstrates/indicates]

Vocabulary

Synonyms

Neutral

logic tableboolean table

Weak

function tableinput-output table

Usage

Context Usage

Business

Extremely rare; only in highly technical IT or data analysis discussions.

Academic

Common in computer science, mathematics, philosophy, and engineering courses.

Everyday

Virtually never used in everyday conversation.

Technical

Standard term in digital logic, circuit design, programming, and formal logic.

Examples

By Part of Speech

adjective

British English

  • The truth-table analysis was thorough.
  • We used a truth-table approach.

American English

  • The truth-table analysis was thorough.
  • We used a truth-table approach.

Examples

By CEFR Level

B1
  • The teacher drew a simple truth table on the board.
  • A truth table has columns for inputs and outputs.
B2
  • You need to construct a truth table for this logical statement.
  • The behaviour of the circuit is summarised in the truth table.
C1
  • The validity of the argument can be demonstrated exhaustively using a truth table.
  • By analysing the complete truth table, we identified a redundant gate in the design.

Learning

Memory Aids

Mnemonic

Think 'TRUE or FALSE Table' – it TABULATES all possible TRUE/FALSE combinations.

Conceptual Metaphor

LOGICAL RELATIONSHIPS ARE MAPS (The truth table maps the landscape of possibilities).

Watch out

Common Pitfalls

Translation Traps (for Russian speakers)

  • Avoid translating 'truth' as 'правда' in its conversational sense; here it means 'истинностное значение'.
  • The term is a fixed compound; do not translate as 'стол правды' or similar.

Common Mistakes

  • Incorrect plural: 'truths tables' (correct: 'truth tables').
  • Misspelling as one word: 'truthtable'.
  • Confusing with a simple data table or spreadsheet.

Practice

Quiz

Fill in the gap
A is used to define the output of a logic gate for every possible input.
Multiple Choice

In which field is the term 'truth table' most fundamental?

FAQ

Frequently Asked Questions

It is a standard open compound noun, written as two separate words: 'truth table'.

Yes, truth tables can be constructed for any finite number of input variables, though they grow exponentially in size.

To provide a complete, unambiguous definition of a logical function by listing its output for every possible combination of input values.

Their primary use is in technical fields. However, the conceptual idea of mapping all possible outcomes based on conditions can be applied informally in decision-making frameworks.