15 Questions
What is the output of an XNOR gate when both the inputs are the same?
1 (high)
How is an XNOR gate symbolically represented?
A standard OR gate with an inversion bubble
What is the Boolean expression for the XNOR gate?
¬(A ⊕ B)
How can an XNOR gate be constructed?
By combining an OR gate, AND gate, and NOT gate
What is the relationship between the XNOR gate and the NOR gate?
The XNOR gate is similar to the NOR gate except that the output is high when both inputs are high
What is the purpose of the inversion bubble in the XNOR gate symbol?
To invert the output of the gate
What is the output of an XNOR gate when one input is 1 (high) and the other is 0 (low)?
0 (low)
How does the 3-input XNOR gate truth table differ from the 2-input XNOR gate truth table?
The 3-input XNOR gate truth table has the same logic as the 2-input XNOR gate
What is the simplest way to construct an XNOR gate?
By using a single gate like the AND gate
What is the condition for the output of an EX-NOR gate to be 1?
When both the inputs are the same
What is the relationship between the XNOR gate and the XOR gate?
XNOR is the complementary form of XOR
What is the purpose of the inversion bubble in the XNOR gate symbol?
To represent the NOT gate
What is the advantage of constructing an XNOR gate using a single AND gate?
It reduces the number of gates required
What is the difference between the 2-input and 3-input XNOR gate truth tables?
The 3-input gate has more output combinations
What is the output of an XNOR gate when both inputs are different?
The output is 0
Study Notes
Exclusive NOR (XNOR) Gate
- Formed by combining the Exclusive-OR (XOR) gate and the NOT gate
- Output is similar to the standard NOR gate, except the output is high when both inputs are high
Truth Table
- Output is 1 when both inputs are 1 (high) or both are 0 (low)
- Output is 0 (low) if either one of the inputs is 1 (high) and the other is 0 (low)
- Both inputs must be at the same logic level for the output to be 1
Symbol and Boolean Expression
- Symbol is an XOR gate (Exclusive-OR gate) with an "inversion bubble" or circle in front
- Boolean expression is given by the truth table
2-Input and 3-Input XNOR Gates
- Truth tables for 2-input and 3-input XNOR gates are defined
- Boolean expression for 3-input XNOR gate is given by the truth table
Equivalent Circuit
- Can be constructed by combining the OR gate, AND gate, and NOT gate
- Easier way of constructing the XNOR gate is from using a single gate like the AND gate
Understand the Exclusive NOR gate, its formation, and operation. Learn how it differs from the standard NOR gate and analyze its truth table to know the output for different input combinations.
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