Exclusive-nor Gate

March 23, 2024 Post a Comment

Exclusive-nor gate

The XNOR (exclusive-NOR) gate is a combination XOR gate followed by an inverter. Its output is "true" if the inputs are the same, and "false" if the inputs are different.

What is equation for Exclusive NOR gate?

Giving the Boolean expression of: Q = ABC + ABC + ABC + ABC. We said previously that the Ex-NOR function is a combination of different basic logic gates Ex-OR and a NOT gate, and by using the 2-input truth table above, we can expand the Ex-NOR function to: Q = A ⊕ B = (A.B) + (A.B)

What is the output for Exclusive NOR gate?

The output of EX-NOR gate is 1 when both the inputs are 1 (high) and if both the inputs are 0 (low). If either one of the input is 1 (high) the output will be 0 (low). In other words, both the inputs should be in the same logic level for the output to be 1.

What are the exclusive gates?

An exclusive OR gate (XOR gate) is a digital logic gate that is implemented using transistors in order to act as an electronic switch used in implementing Boolean functions. It is built by combining standard logic gates such as the common NAND and NOR gates in order to produce the more complex function of this gate.

Why is an Exclusive NOR gate also called an equality gate?

Why is an exclusive-NOR gate also called an equality gate? A. The output is false if the inputs are equal.

What is the difference between XOR and XNOR gates?

The XOR output is asserted whenever an odd number of inputs are asserted, and the XNOR is asserted whenever an even number of inputs are asserted: the XOR is an odd detector, and the XNOR an even detector. This very useful property will be exploited in data error detection circuits discussed later.

How do you convert XOR to XNOR?

The XOR operation of inputs A and B is A ⊕ B; therefore, XNOR operation those inputs will be (A + B) ̅. That means the output of the XOR gate is inverted in the XNOR gate.

What is EX-OR gate and ex-NOR gate?

Hint: An EX-OR gate is a digital logic gate which gives a true output when the number of inputs is odd only. Whereas, EX-NOR gate is just an EX-OR gate followed by a NOT gate which gives a true output only when the number of inputs is even.

Is XNOR a universal gate?

From the opposite perspective, constructing other gates using only XNOR gates is possible though XNOR is not a fully universal logic gate. NOT and XOR gates can be constructed this way.

What is the symbol of XNOR gate?

The output level of the XNOR gate is high only when both of its inputs are the same, either 0 or 1. The symbol of the XNOR gate is the same as XOR, only complement sign is added.

How many exclusive gates are there?

The XOR gate stands for the Exclusive-OR gate. This gate is a special type of gate used in different types of computational circuits. Apart from the AND, OR, NOT, NAND, and NOR gate, there are two special gates, i.e., Ex-OR and Ex-NOR.

Why is XOR not a universal gate?

Note that neither the Exclusive-OR gate or the Exclusive-NOR gate can be classed as a universal logic gate as they can not be used on their own or together to produce any other Boolean function.

What is exclusive or operator?

The bitwise exclusive OR operator ( ^ ) compares each bit of its first operand to the corresponding bit of its second operand. If the bit in one of the operands is 0 and the bit in the other operand is 1, the corresponding result bit is set to 1. Otherwise, the corresponding result bit is set to 0.

How an Exclusive-OR gate differs from an OR gate?

The XOR gate operation is similar to the OR gate's; few inputs vary. The output of the XOR gate is also called 'an odd function' because it gives '1' when an odd number of ones are present at the inputs. Also, an XOR gate is a combinational logic circuit that generates the parity bit in the transmitter.

Which logic gate is known as equality detector?

Explanation: A 2 Input XNOR gate is called as equality detector. They are called so because, when the two inputs of the XOR gate is different its output is Logic Zero(LOW), but when both the inputs are same then the output is Logic one (HIGH).

Why the XOR gate is used for parity generator?

A parity checker is designed by using XOR gates on the bits of the data. An XOR gate will output a "0" if bits are similar, or a "1" if the bits differ. This can also be interpreted as checking if two bits contain an even or odd amount of "1"s.

Where is XOR gate used?

XOR gates are used in circuits that perform arithmetic operations and calculations, especially in half-adders and adders. The ability of the XOR gate to compare two logic levels and give an output dependent upon the input condition is very useful in many computational circuits.

What is difference between XOR and EXOR?

The EXOR gate has a high output only when an odd number of inputs are high. For the two input EXOR gates, the output will be high when the set of input is either 01 or 10. The XOR gate is used in the adder, subtractor and controlled inverter circuit.

What is the symbol of exclusive OR gate?

The symbol used to describe the Boolean expression for an Exclusive-OR function is a plus sign, ( + ) within a circle ( Ο ). This exclusive-OR symbol also represents the mathematical “direct sum of sub-objects” expression, with the resulting symbol for an Exclusive-OR function being given as: ( ⊕ ).