A Truth Table is a table that lists all the possible combinations of inputs and their corresponding outputs. It shows how the output of logic circuits changes with different combinations of logic levels at the input. It is mostly associated with Boolean algebra or areas where Boolean logic is used. It is a branch of algebra where there are only two values possible true and false.
Table of Content
The truth table is a systematic representation of all truth values of a logical expression. It consists of all the inputs and gives the required output. It takes a combination of inputs to get the desired output. Truth tables are mainly used in Boolean algebra so, a variable can take two values 0 or 1.
The truth table is primarily used in digital circuits where it is used to validate the output generated from the various input combinations of the logical expressions. It is also used in mathematics and other fields which use Boolean logic and digital logic .
A truth table has some elements that include Input Variables, Output Variables, and combinations of input variables. The columns represent the number of input and output variables, and the rows represent the number of all possible combinations. As in the truth table, we generally work with binary there will be 2 n number of rows, where n is the number of input variables.
Steps involving the construction of the truth table are:
A Unary operation is a kind of operation where there is only one operand present. There are four types of unary operation:
In this operation, whatever the input is the output will be always true. The truth table is as follows: