Truth Table is a collection of facts, determining the truth or falsity of a proposition. It works as a complete theorem-prover and is of three types –
- Accumulative truth Table
- Photograph truth Table
- Truthless Fact Table
In the context of data analytics, the term “truth table” typically refers to a table used to represent the logical relationships between different propositions or variables. It shows all possible combinations of inputs and the corresponding outputs based on some logical operation or function.
For example, in Boolean logic, a truth table shows the possible input combinations of true (1) and false (0) for different logical operations such as AND, OR, NOT, etc., and their resulting output.
Here’s a simple example of a truth table for the AND operation:
| Input A | Input B | Output (A AND B) |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
In this truth table, the output (A AND B) is 1 only when both input A and input B are 1, otherwise, the output is 0.
In an interview setting, you could explain that a truth table is a systematic way to represent all possible combinations of inputs and their corresponding outputs, which helps in understanding the behavior of logical operations or functions, which is crucial in data analysis and decision making.