Xor gate using nand gate pdf file download

Another promising solution presented in ruzicka 2007 is a nand xor gate controlled by a control signal using nine transistors. Implementing logic functions using only nand or nor gates. I mean intuitively, to me, i should get this one if i do it step by step followed by the definition xor a and. Xor gate with nand electrical engineering stack exchange.

According to many sources for instance wikipedia, its possible to obtain xor gate using 4 nand gates. Apologies for the quality of images using nand gate. The exor gate is defined as, the hybrid logic gate with 2 or more inputs to perform the exclusive disjunction operation. Tamas kovacs thursday, august 19, 2004 i want it plant marwa aly monday, october 11, 2004 please provide us the logic. It produces a 1 output when any of the inputs is 0. Oct 27, 2009 this file is licensed under the creative commons attributionshare alike 3.

What is logic gate and, or, xor, not, nand, nor and xnor. One nand input pin is connected to the input signal a while all other input pins are connected to logic 1. Perform the following steps to obtain the minimum number of gates required. Today, contrary to popular belief, integrated circuits are not constructed exclusively from a single type of gate. This schematic is how i am wiring up the ic i know the schematic is a little confusing but i tried to construct it best i can. Q implement 2 variable xnor gate using nor only in. Step by step procedure to implement exorxor gate by using only nand gates. The document that kulan referred to is short, but has errors and inconsistencies, so i would not recommend it.

If both inputs are false 0low or both are true, a false output results. The restrictions for this problem are that the nor gate only excepts 2inputs and it must only use and and xor gates. Xor and and form a universal set of gates which i completed a proof of. Xor gate sometimes eor, or exor and pronounced as exclusive or is a digital logic gate that gives a true 1 or high output when the number of true inputs is odd. Using ltspice and irsim, here are the simulations of the logical operation of the gate for all 4 possible input. If both the inputs are same, then the output is low. Tamas kovacs thursday, august 19, 2004 i want it plant marwa aly monday, october 11, 2004 please provide us the logic circuit for implementing xor gate using nand and nor gate. A logic gate is a building block of a digital circuit.

Pdf alloptical multiple logic gates with xor, nor, or, and. Hence the nand gate is made up of and gate which is followed by an inverter. See supplementary power point file for animated cmos process flow should be viewed as a slide show, not designed for. This construction entails a propagation delay three times that of a single nand gate and uses five gates. One implements full adders with 3 transistors 3t xor and xnor gates. Add not gate to the output of xor gate as shown in the image above. Hence we need only 4 nor gates to implement xnor gate and we require 5 nor gates to implement xor gate with 5 th nor gate used as inverter and placed in front of 4 th nor gate. In digital electronics, a nand gate notand is a logic gate which produces an output which is false only if all its inputs are true. An or gate equivalent can also be constructed using only nand gates, by putting two shorted equivalent to not nand gates each at the input of a third nand gate as shown in figure 4.

The logic or boolean expression given for a logic nand gate is that for logical addition, which is the opposite to the and gate, and which it performs on the complements of the inputs. Pdf alloptical multiple logic gates with xor, nor, or. Not, or, and and gates are the basic types of gates. A nand gate presents an and gate followed by an inverter. Universal gates in digital electonics nand and nor. For example, the, apollo guidance computer, was built exclusively from nor gates, about 5,600 in total for the later versions. This is the main principle in the half adder and the combined and xor circuit may be chained together in order to add ever longer binary numbers. With regard to the previous point, an and gate is really formed from a nand gate followed by a not gate similarly, an or gate consists of a nor gate followed by a not gate. A low 0 output results only if all the inputs to the gate are high 1. Setup in the scf file the input signals as shown below and draw the output f as obtained from simulation. Help explain this boolean equation xor with nor gates. Its not clear what level of understanding youre looking for.

Mux function using tgs b a b a xorxnor in aoi form. Just by interpretting the inputs to the nand gate as active low and the output as active high, using the same gate we have found an or function. To realize all logic gates using nand and nor gates. Connect the led cathode to ground and test the pins of the ic. A nand gate is made using transistors and junction diodes. Logic nand gate tutorial with nand gate truth table.

I would like to explain me the way you reach to the equation from which you form the circuit of the 4 gates. Xor logic gate using other logic gate and other logic gate. The working of these gate is like that we get binary 1 at the output of the gate if and only is both the input is at the binary low state i. Alloptical multiple logic gates with xor, nor, or, and nand functions using parallel soamzi structures. It produces a 0 output only when all the inputs are 1. I cannot follow the algebraic example and would like to have detailed steps filled in as i cannot match up rules i know to the example. I am attempting to build an xor gate with nand ics. Im just starting boolean algebra and am following an example given in the text that shows the configuration of nor gates to create an xor. Logic gates and truth table and, or, not, nor, nand, xor. However, when i try to do so step by step by replacing all gates using nand and cancelling two nand gates that are in cascade, i always end up getting 5 nand gates instead of 4. I cannot follow the algebraic example and would like to have detailed steps filled in as i cannot match up rules i know to. Very quickly, below are the symbols, boolean expression and truth table of nand and nor gates. Digital logic basics 21 implementation using nand gates. See supplementary power point file for animated cmos process flow.

Boolean algebra and am following an example given in the text that shows the configuration of nor gates to create an xor. To be an or gate, however, the output must be 1 if any input is 1. Aug 05, 2019 xor gate metadata this file contains additional information such as exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. Sep 07, 2015 the nand gate is just a combination of the expression not gate as well as and gate. Like nand gates, nor gates are socalled universal gates that can be combined to form any other kind of logic gate. The boolean expression for a logic nand gate is denoted by a single dot or full stop symbol. Fa and b or a and b is the xor equation according the truth table. Apr 19, 2018 step by step procedure to implement exor xor gate by using only nand gates.

All nand input pins connect to the input signal a gives an output a. A cd4011b was used as an example of a nand gate ic. May 24, 2014 logic gates and, or, not, nor, nand, xor, xnor gates. In most of the cases, binary low is represented using the zero volts 0 v. But still i cannot see how to transform the equation into the xor expression i expect. The interconnection of gates to perform a variety of logical operation is called logic design. To make it easy, just copy and change the schematic file used for the nand gate, to avoid tediuos work. Logic gate actually the term logic is applied to digital circuits used to implement logic functions. Jul 14, 2015 the exor gate is defined as, the hybrid logic gate with 2 or more inputs to perform the exclusive disjunction operation. The outputs of all anded literals are then fed into one nand gate to realize sop sum of product expression as a whole. Now let us see how each logic gate can be created with nand and nor gates.

Now we can implement the circuit of xnor gate using nor gates. Each output and output of a logic gate is represented by binary conditions 0 low and 1 high. Otherwise either if both the inputs are false 0 or if both are true 1 then a false output 0 is received as a resultant. The importance of nand nand gates are considered to be the universal gate, because any other gate can be synthesized eve engels, 2006 slide 22 of 20 using nand. Lab6 designing nand, nor, and xor gates for use to. Basic logic gates using nand gate not, or, and gates. In fact, most gates are implemented in solidstate ttl chips transistortransistor logic e. This is the large expression i came up with to express the schematic. It is implemented as an exclusive or gate in which a true output 1 is received as the resultant output if one of the inputs to the logic gate is true 1. Start with the first gate and see if the output pin 3 changes when you operate the switches. I am not very good at ascii art so i couldnt provide gates and bubbles.

The performance of soamzibased xor gate have been analyzed through numerical simulations, to generalize the optimal parameters as well as the suitable operating conditions 914. You may do so in any reasonable manner, but not in. Now all i need to know is how to align the transistors to make a 3input version of exactly this, lol. The last missing ingredient is an inverter, which is simply tying both inputs together check with a truth table. This file is licensed under the creative commons attributionshare alike 4. Digital circuitsnor logic wikibooks, open books for an. Lab6 designing nand, nor, and xor gates for use to design. The gate has good performance even when we redesigned it in the. The xor circuit with 2 inputs is designed by using and, or and not gates is shown above. Q implement 2 variable xnor gate using nor only in minimum number of gates. The old techinterview forum xor gate using nand gates. The nand gate is just a combination of the expression not gate as well as and gate. Most logic gates have two inputs and one output and are based on boolean algebra.

Jan 30, 2017 we discussed about how to make xor and xnor gate using nand gate. This file is licensed under the creative commons attributionshare alike 3. On pspice, ive created a transistorlevel schematic for what i mean by 2input cmos xor gate the top voltage source is simply supposed to be vdd of 5v, ignore the missing connection. Therefore, if the inputs are inverted, any high input will trigger a high output. Xor from nand logic, nand to xor conversion, equations, circuit, minimizatio truth tables. All the anded literals can be realized directly using a nand gate each. If it used nand gates i would of completed this problem already haha. I know the answer but how to get the gate diagram from the formula. A truth table lists all possible combination of inputs and the corresponding outputs. Depending on the type of logic gate being used and the. Exor gate xor and exnor gate xnor using nand gates.

Note that the exact same network works if all of the nand gates are changed to nor gates, except that you get an xnor gate the output is high if the inputs are equal. The other applies gate diffusioninput gdi technique to full adders. How to draw a nand gate using only nor gates quora. Logic gates and, or, not, nor, nand, xor, xnor gates. Simulations are performed by using hspice based on. Drive xor from nand gate, nand to xor conversion with. Logic nand gates are available using digital circuits to produce the desired logical function and is given a symbol whose shape is that of a standard and gate with a circle, sometimes called an inversion bubble at its output to represent the not gate symbol with the logical operation of the nand gate given as. At any given moment, every terminal is in one of the two binary conditions false high or true low. Now to make a nor gate, using 4 mosfets just like the nand gate. Another promising solution presented in ruzicka 2007 is a nandxor gate controlled by a control signal using nine transistors. Several kinds of digital logic circuits are the basic elements that form the building blocks for such complex digital system as the. Mar 21, 2011 how can i make a xor gate using 4 nand gates. I can do it with 5 nand gates but i cant reach the 4. Logic gates not, or, and, nor, nand, xor, xnor gate, pdf.

The output of 2 input xor gate is high only when one of its inputs are high. An xnor gate is made by considering the disjunctive normal form. Sep 07, 2017 according to many sources for instance wikipedia, its possible to obtain xor gate using 4 nand gates. I mean intuitively, to me, i should get this one if i do it step by step followed by the definition xor a and not b or not a and b.