1.What is a Truth Table?
A.NOT Gate or an Inverter Truth Table
B.AND Gate Truth Table
C. OR Gate Truth Table
D. NAND Gate Truth Table
E. NOR Gate Truth Table
F. XOR Gate Truth Table
G. XNOR Gate Truth Table
A truth table is a table that displays the outputs of a logical expression or circuit for all possible combinations of inputs. It shows the relationship between the input and output values and helps determine the truth or falsehood of a logical expression. Each column in the table represents a specific input or output, and each row represents a specific combination of input values.
A truth table is a table that shows all the possible inputs and corresponding outputs of a logical function or a logic gate. It is used to define the behavior of a logical function or a logic gate and serves as a reference for understanding how the function or gate operates.
Now, let's go through the truth tables for each of the logic gates you mentioned:
A. NOT Gate or an Inverter Truth Table:
The NOT gate, also known as an inverter, has only one input and one output. The output is the inverse or complement of the input.
Input (A) | Output (Y)
-----------|-----------
0 | 1
1 | 0
B. AND Gate Truth Table:
The AND gate has two inputs and one output. The output is only true (1) if both inputs are true (1).
Input A | Input B | Output (Y)
---------|---------|------------
0 | 0 | 0
0 | 1 | 0
1 | 0 | 0
1 | 1 | 1
C. OR Gate Truth Table:
The OR gate also has two inputs and one output. The output is true (1) if any of the inputs are true (1).
Input A | Input B | Output (Y)
---------|---------|------------
0 | 0 | 0
0 | 1 | 1
1 | 0 | 1
1 | 1 | 1
D. NAND Gate Truth Table:
The NAND gate is an AND gate followed by a NOT gate, or in other words, it performs the logical operation of an AND gate followed by inverting the output. It also has two inputs and one output.
Input A | Input B | Output (Y)
---------|---------|------------
0 | 0 | 1
0 | 1 | 1
1 | 0 | 1
1 | 1 | 0
E. NOR Gate Truth Table:
The NOR gate is an OR gate followed by a NOT gate, or in other words, it performs the logical operation of an OR gate followed by inverting the output. It has two inputs and one output.
Input A | Input B | Output (Y)
---------|---------|------------
0 | 0 | 1
0 | 1 | 0
1 | 0 | 0
1 | 1 | 0
F. XOR Gate Truth Table:
The XOR gate, also known as the exclusive OR gate, has two inputs and one output. The output is true (1) if only one of the inputs is true (1), but not both.
Input A | Input B | Output (Y)
---------|---------|------------
0 | 0 | 0
0 | 1 | 1
1 | 0 | 1
1 | 1 | 0
G. XNOR Gate Truth Table:
The XNOR gate is the complement of the XOR gate. It has two inputs and one output. The output is true (1) if both inputs are the same (either both 0 or both 1).
Input A | Input B | Output (Y)
---------|---------|------------
0 | 0 | 1
0 | 1 | 0
1 | 0 | 0
1 | 1 | 1
These truth tables provide a clear representation of the behavior of each logic gate based on different input combinations.