What is a truth table used for?

What is a truth table used for?

• A. A table of random numbers
• B. A summary of programming languages
• C. To show all possible input combinations and corresponding outputs
• D. A record of previous computations

Answer: (C)

A truth table is specifically designed to represent and analyze the relationships between the inputs and outputs of a logical expression or a digital circuit. It systematically lays out all the possible combinations of input values, typically Boolean values (true/false or 1/0), and provides the corresponding output for each combination. In logic and computer science, truth tables are essential for validating boolean expressions, understanding the functionality of logical operations (such as AND, OR, NOT), and analyzing digital circuits. By methodically outlining these combinations, truth tables provide a clear visualization of how inputs influence outputs, which is invaluable for both theoretical studies and practical implementations in programming and electrical engineering. The other options do not correctly describe the purpose of a truth table. A table of random numbers lacks systematic input-output relations, a summary of programming languages does not pertain to logical analysis, and a record of previous computations does not demonstrate the concept of input-output relationships inherent to truth tables. Thus, the correct answer highlights the foundational role of truth tables in logic and computation.

A truth table is specifically designed to represent and analyze the relationships between the inputs and outputs of a logical expression or a digital circuit. It systematically lays out all the possible combinations of input values, typically Boolean values (true/false or 1/0), and provides the corresponding output for each combination.

In logic and computer science, truth tables are essential for validating boolean expressions, understanding the functionality of logical operations (such as AND, OR, NOT), and analyzing digital circuits. By methodically outlining these combinations, truth tables provide a clear visualization of how inputs influence outputs, which is invaluable for both theoretical studies and practical implementations in programming and electrical engineering.

The other options do not correctly describe the purpose of a truth table. A table of random numbers lacks systematic input-output relations, a summary of programming languages does not pertain to logical analysis, and a record of previous computations does not demonstrate the concept of input-output relationships inherent to truth tables. Thus, the correct answer highlights the foundational role of truth tables in logic and computation.