Why XOR gate is called exclusive gate?
This is the reason an XOR gate is also called an anti-coincidence gate or inequality detector. This gate is called XOR or exclusive OR gate because its output is only 1 when its input is exclusively 1. In digital electronics, other logic gates include NOT gates, OR gates, NAND gates, and NOR Gates.
What is the use of exclusive or exclusive OR gate?
The Exclusive-OR Gate is widely available as a standard quad two-input 74LS86 TTL gate or the 4030B CMOS package. One of its most commonly used applications is as a basic logic comparator which produces a logic “1” output when its two input bits are not equal.
What is the difference between exclusive-or and Exclusive-NOR logic gates?
These two “hybrid” logic gates are called the Exclusive-OR (Ex-OR) Gate and its complement the Exclusive-NOR (Ex-NOR) Gate. The Exclusive OR Gate is abbreviated as the X-OR Gate. This is a compound gate made up of AND, OR and NOT gates. The output signal is obtained by comparing different input bits through this gate.
What is the output of the exclusive-OR gate?
In other words, the output is “1” when there are an odd number of 1’s in the inputs. This ability of the Exclusive-OR gate to compare two logic levels and produce an output value dependent upon the input condition is very useful in computational logic circuits as it gives us the following Boolean expression of:
Why XOR is called Exclusive OR?
When both inputs are equal, either are 1 or both are 0, the output will be logical 0. This is the reason an XOR gate is also called an anti-coincidence gate or inequality detector. This gate is called XOR or exclusive OR gate because its output is only 1 when its input is exclusively 1.
Why is it called exclusive OR gate?
An XOR gate implements an exclusive OR, i.e., a true output result if one, and only one, of the gate inputs, is true.
Why ex NOR gate is called extended OR gate?
An XNOR gate (sometimes referred to by its extended name, Exclusive NOR gate) is a digital logic gate with two or more inputs and one output that performs logical equality. The output of an XNOR gate is true when all of its inputs are true or when all of its inputs are false.
What is exclusive OR gate in electronics?
The Exclusive OR (XOR) gate gives logic 1 output if either, but not both, of its two inputs, are logic 1. The expression Y=A⊕B Y = A ⊕ B means XOR operation. The Exclusive NOR (XNOR) gate gives a logic 0 output if either, but not both, of its two inputs, are logic 1.
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.
How do you remember XOR?
One way to think about it is that XOR (eXclusive-OR) is exclusively OR and not AND. Another way is that XOR is exclusive in that you can only pick one of the options: i.e. "You can't have your cake and eat it too."
What is the difference between OR gate and XOR gate?
OR is true if at least one of the operands is true. XOR is true if exactly one of the operands is true.
What is XOR gate truth table?
XOR gate (sometimes called as EOR, EXOR, and pronounced as the Exclusive OR) is the digital logic gate that results in true (either 1 or HIGH) output when the number of true inputs is the odd count. An XOR gate implements the exclusive OR that is a true output result if one of the inputs of the gate inputs is true.
Why NAND and NOR gates are called universal gates?
∴ NAND and NOR gates are called universal gates because they can be combined to produce any of the other gates like OR, AND, and NOT gates. Hence the correct option is option (B). Note: AND and NOR gates can be suitable for all the options in the question.
What are exclusive gates used for?
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.
Where is XOR gate used?
Exclusive-OR Gates are used mainly to build circuits that perform arithmetic operations and calculations especially Adders and Half-Adders as they can provide a “carry-bit” function or as a controlled inverter, where one input passes the binary data and the other input is supplied with a control signal.
What is the difference between an OR gate and an XOR gate?
OR is true if at least one of the operands is true. XOR is true if exactly one of the operands is true.
What are exclusive gates used for?
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 the difference between EXOR and OR gate?
The Exclusive-OR(i.e. EX-OR or XOR) gate is a circuit which will give a true output if either but not both of its two inputs are true. An encircled plus sign is used to show the EX-OR operation. The figure-2 depicts EX-OR logic gate symbol and table-2 below mentions truth table of EX-OR gate.
Where is XOR gate used?
Exclusive-OR Gates are used mainly to build circuits that perform arithmetic operations and calculations especially Adders and Half-Adders as they can provide a “carry-bit” function or as a controlled inverter, where one input passes the binary data and the other input is supplied with a control signal.
1. Why is an Exclusive OR Gate Called a Controlled Inverter?
The XOR gate is called a controlled inverted because it behaves like a NOT gate. Also, the XOR gate has a 'true' output when the inputs are differe...
2. What is the Difference Between an 'OR' Gate and an 'Exclusive OR' Gate?
A few common uses of OR and XOR gates can be listed. OR gate can only be used for summation purposes, whereas the Xor gate can use in comparison ci...
3. Is XOR a universal logic gate? Give a reason to justify your answer.
A universal gate is a logic gate whose repeated use can produce other logic gates. NAND gate and NOR gate are examples of universal logic gates. An...
4. Which gate is the complement of the XOR gate?
The XNOR gate (also called the exclusive NOR gate or ENOR gate) complements the XOR logic gate. The XNOR logic gate is used to perform 'logical equ...
5. How can you make a three-input XOR gate with a two-input XOR gate?
For making a 3 input XOR gate using 2 input XOR gates, we have to cascade 2 2-input XOR gates. A 2 input XOR gate will be fed by any 2 of the 3 inp...
What is exclusive OR gate?
The Exclusive OR gate gives an output only if its two inputs are dissimilar, namely if one of them is high (one) and the other is low (zero).
What is the expression for the 2 input XOR gate?
The Boolean expression representing the 2 input XOR gate is written as Y = (A⨁B) = ¯A.B+A. ¯B Y = ( A ⨁ B) = A ¯. B + A. B ¯
How many logic gates are used to form an XOR?
In the above figure, three different logic gates are used to form an XOR, this is one of the main disadvantages. One of the easier ways to produce the XOR gate is to use only the combination of the NAND gate or NOR gate
Is XOR a logic gate?
Though it is not a basic logic gate, its versatility and usefulness have made it into a standard logic gate.
What is the difference between an OR gate and an XOR gate?
A few common uses of OR and XOR gates can be listed as follows. OR gate can only be used for summation purposes , whereas the Xor gate can use in comparison circuits and staircase switches. OR gate cannot be used in parity circuits, but the XOR gates can be used in parity generation/ detection and Error detecting circuits as well.
What is XOR gate?
Resultantly, XOR gates are used to implement the binary addition in computers. A half adder has an XOR gate and an AND gate. Other uses include comparators, subtractors, and controlled inverters.
What is XOR in logic?
XOR gate (sometimes called as EOR, EXOR, and pronounced as Exclusive OR) is a digital logic gate that results in true (either 1 or HIGH) output when the number of true inputs is an odd count. An XOR gate implements an exclusive OR, i.e., a true output result if one, and only one, of the gate inputs, is of true. If both the inputs are false (either 0 or LOW) or if both are true, there results in a false output. The XOR represents the inequality function, that is, the output is true if the inputs are not identical, and then the output is false. An easy way to remember XOR is "must have one or the other, but not both".
How many inputs are there in XOR gate?
There are two kinds of truth tables of XOR gate, which are with 2 inputs and 3 inputs. Let us have a look at both.
What does XOR mean in math?
The XOR represents the inequality function, that is, the output is true if the inputs are not identical, and then the output is false. An easy way to remember XOR is "must have one or the other, but not both". XOR can also be viewed as an additional modulo 2.
What are the symbols for XOR gates?
There exist three schematic symbols for XOR gates. They can be given as the traditional ANSI symbol, DIN symbol, and the IEC symbol . In a few cases, the DIN symbol is used with ‘⊕’ instead of ‘≢.’. The logic symbols (⊕, Jpq, and ⊻) can be used to represent an XOR operation in algebraic expressions.
How many logic gates are used to form an XOR?
In the figure represented above, there used three different logic gates to form an XOR, which is one of the major disadvantages. Besides, one of the easier ways to form the XOR gate is only to use the combination of the NOR gate and the NAND gate.
When does the output of an exclusive or gate go high?
The truth table above shows that the output of an Exclusive-OR gate ONLY goes “HIGH” when both of its two input terminals are at “DIFFERENT” logic levels with respect to each other. If these two inputs, A and B are both at logic level “1” or both at logic level “0” the output is a “0” making the gate an “odd but not the even gate”. In other words, the output is “1” when there are an odd number of 1’s in the inputs.
What is the output of an Ex-OR gate?
In general, an Ex-OR gate will give an output value of logic “1” ONLY when there are an ODD number of 1’s on the inputs to the gate, if the two numbers are equal, the output is “0”.
What is the exclusive OR function?
The Exclusive-OR Gate function, or Ex-OR for short, is achieved by combining standard logic gates together to form more complex gate functions that are used extensively in building arithmetic logic circuits, computational logic comparators and error detection circuits.
What is the logic gate of a 2 input OR gate?
Previously, we saw that for a 2-input OR gate, if A = “1”, OR B = “1”, OR BOTH A + B = “1” then the output from the digital gate must also be at a logic level “1” and because of this, this type of logic gate is known as an Inclusive-OR function. The logic gate gets its name from the fact that it includes the case of Q = “1” when both A and B = “1”.
What are the disadvantages of the Ex-OR function?
One of the main disadvantages of implementing the Ex-OR function above is that it contains three different types logic gates OR, NAND and finally AND within its design. One easier way of producing the Ex-OR function from a single gate is to use our old favourite the NAND gate as shown below.
What are the two types of logic gates?
These two “hybrid” logic gates are called the Exclusive-OR (Ex-OR) Gate and its complement the Exclusive-NOR (Ex-NOR) Gate.
What is the expression for an odd number of logic 1's?
These two inputs can be at logic level “1” or at logic level “0” giving us the Boolean expression of: Q = (A ⊕ B) = A.B + A.B
What are the disadvantages of the Ex-OR function?
One of the main disadvantages of implementing the Ex-OR function above is that it contains three different types logic gates OR, NAND and AND within its design.
How many EX-OR gates are in a 14 pin dip?
It contains four 2-input EX-OR gate in a 14-pin DIP.
Why is an inequality comparator also called a detector?
This circuit is also called an inequality comparator or detector because it produces output only when the two inputs are different.
Which two circuits occur quite often in digital systems?
Two special logic circuits that occur quite often in digital systems are the exclusive-OR and exclusive-NOR circuits.
Is the ex-or function a logic gate?
The Ex-OR function is not a basic logic gate but a combination of different logic gates connected together. Using the 2-input truth table above, we can expand the Ex-OR function to:
What is the exclusive OR?
The Exclusive-OR is also referred to by writing only Ex-OR or XOR. The Ex-OR is a very useful logic and is mostly used in arithmetic, error detection, and computational circuits.
What is XOR gate?
In the following figure, an XOR gate is used to drive a 12V relay to switch on the lamp using NI Multisim. The XOR gate (74LS86) turns off the relay when all of the inputs are connected to VCC/ Ground. The relay thus turns off the lamp through an external circuit of 12V. When one of the inputs is connected to VCC, XOR logic goes “ON” turning the relay and lamp to “ON” state.
When is the output of an odd gate?
For three input Ex-OR logic, when there is an odd number of inputs with logic “HIGH” then the output is “HIGH” and this characteristic makes the Ex-OR an odd gate. Moreover, the ability of Ex-OR to compare logics at the input and to produce results at the output based upon inputs is really useful in arithmetic, error-detection, and computational circuits.
What is the difference between inclusive OR and exclusive OR?
The expression for an inclusive-OR logic consists of a plus symbol between the operands and denotes a logic al addition/summa tion of the inputs. Whereas, the expression of Exclusive-OR logic comprises a plus sign within a circle between the operands. The circle basically describes a direct sum of sub-objects.
When inputs are at different levels, what is the output of the Ex-OR logic?
It is clear from the truth table that when inputs are at different levels i.e. either “01” or “10” then the Ex-OR logic output is “HIGH” and in case the inputs are at the same level then output is “LOW”. In other words, “A” or “B”, not both!.
Is Ex OR logic a basic logic?
The Ex-OR logic is not a basic logic but obtained the status of logic due to its usefulness and versatility.
Is a modulo 2 sum an ex-or logic?
The logic function performed by a more than two-input Ex-OR gate is basically a modulo 2 sum and is not an Ex-OR logic. The truth table of a three-input Ex-OR logic is as follow and can be expanded to include any number of inputs:
What is an exclusive OR gate?
An exclusive OR gate is mainly used to build circuits that execute arithmetic operations and calculations, particularly adders and half-adders, as it can provide a "carry-bit" function.
What Does Exclusive OR Gate (XOR Gate) Mean?
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. XOR produces a "1" output if the inputs are different and a "0" if all the inputs are the same value.
What is an XOR gate?
An XOR gate is typically found in applications dealing with a basic logic comparator that generates a logic "1" output when its two input bits are unequal.
Why is XOR gate called XOR?
This gate is called XOR or exclusive OR gate because its output is only 1 when its input is exclusively 1. In digital electronics, other logic gates include NOT gates, OR gates, NAND gates, and NOR Gates.
What is an XNOR Gate?
The XNOR gate (also known as a XORN’T, ENOR, EXNOR or NXOR) – and pronounced as Exclusive NOR – is a digital logic gate whose function is the logical complement of the exclusive OR gate (XOR gate). Logically, an XNOR gate is a NOT gate followed by an XOR gate.
How many inputs can a XOR gate have?
Although XOR gates can only have two inputs, you can perform the XOR operation using any number of inputs (e.g. 3 input XOR operation or 4 input XOR operation).
When is the output of XOR gate?
In the XOR gate operation, the output is only 1 when only one input is 1. The output is logical 0 when both inputs are the same, meaning they are either 1 or 0. But in the XNOR gate, the inverse is true. Hence the output is 0 when only one input is 0, and the output is 1 when both inputs are the same (i.e. either two 0’s or two 1’s).
What is Electrical4U?
Electrical4U is dedicated to the teaching and sharing of all things related to electrical and electronics engineering.
What does XOR mean in math?
XOR represents the inequality function, i.e. the output is true if the inputs are not alike; otherwise, the output is false. A common way to remember the XOR is “must have one or the other, but not both”. The logic gate performs this modulo sum operation without including carry is known as XOR gate.
What is exclusive or gate?
The Exclusive OR Gate is abbreviated as the X-OR Gate. This is a compound gate made up of AND, OR and NOT gates. The output signal is obtained by comparing different input bits through this gate. The output is “1” when there are an odd number of 1’s in the inputs. otherwise it is 0. The X-OR operation is represented by ⊕ simbol.
What is universal gate?
The “Universal” Gates: The gate which can implement all the basic gates (AND, OR, NOT) as well as any gate and any circuit is called a universal gate. NAND and NOR gates are called universal gates.
What is a NOR gate?
The Logic NOR Gate is a compound gate which is combination of the logic OR gate and an NOT gate connected together in series. If the output of the OR gate is propagated to the NOT gate, then the NOR gate is available. That is, by reversing the output of the OR gate, the output of the NOR gate is obtained.
What is a gate that is created using two or more basic gates called?
A gate that is created using two or more basic gates is called a composite or compound gate. For example-
How many input lines does a NOR gate have?
The NOR gate has two or more input lines and only one output line. NOR gate is also known as compound gate and universal gate.
What is the NAND gate?
The Logic NAND Gate is the reverse or “Complementary” form of the AND gate we have seen previously. আরো পড়ুন :: Fourth Chapter: Knowledge Based Questions & Answers.
2-Input Ex-Or Gate
3-Input Ex-Or Gate
- Giving the Boolean expression of: Q = ABC + ABC + ABC + ABC The symbol used to denote an Exclusive-OR odd function is slightly different to that for the standard Inclusive-OR Gate. The logic or Boolean expression given for a logic ORgate is that of logical addition which is denoted by a standard plus sign. The symbol used to describe the Boolean expression for an Exclusive-OR fu…
Ex-Or Gate Equivalent Circuit
- One of the main disadvantages of implementing the Ex-OR function above is that it contains three different types logic gates OR, NAND and finally AND within its design. One easier way of producing the Ex-OR function from a single gate is to use our old favourite the NANDgate as shown below.
Ex-Or Function Realisation Using Nand Gates
- Exclusive-OR Gates are used mainly to build circuits that perform arithmetic operations and calculations especially Adders and Half-Addersas they can provide a “carry-bit” function or as a controlled inverter, where one input passes the binary data and the other input is supplied with a control signal. Commonly available digital logic Exclusive-OR ...
7486 Quad 2-Input Exclusive-Or Gate
- The Exclusive-OR logic function is a very useful circuit that can be used in many different types of computational circuits. Although not a basic logic gate in its own right, its usefulness and versatility has turned it into a standard logical function complete with its own Boolean expression, operator and symbol. The Exclusive-OR Gateis widely available as a standard quad two-input 7…
Truth Table of Ex-Or Gate
Ex-Or Gate Equivalent Circuit
- The Ex-OR function is not a basic logic gate but a combination of different logic gates connected together. Using the 2-input truth table above, we can expand the Ex-OR function to: which means that we can realise this new expression using the following individual gates. Fig 2 One of the main disadvantages of implementing the Ex-OR function above is that it contains three different types …
Standard Package
- Fig 5 shows the pinout diagram of an IC7486 which is a quad 2-input EX-OR gate. Fig 5 It contains four 2-input EX-OR gate in a 14-pin DIP.
Pulsed Operation
- The pulsed operation of an EX-OR gate is illustrated in fig 6 . Fig 6 During time intervals t1 input A is high but input B is low and during time interval t3 input A is low and input B is high, therefore output is high during these two time intervals. During time intervals t0 and t2, both inputs are low, hence output is low. And during time interval t4 both inputs are high, therefore output is low.