Because they are universal, which means you can build entire circuits out of only NAND or NOR gates, instead of combinations of OR, AND and the other gates. As a result, companies buy bulks of NAND gates to save money, because ordering one thing in huge numbers will always be cheaper than buying various things at the same number for the manufacture.
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THE MAIN ADVANTAGE OF THE UNIVERSAL LOGIC GATES IS THAT IT CAN BE USED TO MADE ANT KIND OF LOGIC GATE .......BY USING IT . NAND AND NOR ARE CALLED AS UNIVERSAL GATES ARE USED TO MAKE ANY GAATES AS OR ,AND, XNOR,NOT. logic gates are used in many everyday electronic devices such as tv's, computers and telephones.
for a two input gate to represent as an n-input gate excatly n-1 two input gates are required. this implies that for a two input OR gate to represent a four input OR gate exactly three two input OR gates are required let F is =a+b+c+d =(((a+b)+c)+d) =((a+b)+(c+d)) in both the above cases + is used three times so three two input OR gates make a four input OR gates. This discussion doesnot hold good for NAND gates an example can illlustrate the reson:- take F=(a.b.c.d)'=a'+b'+c'+d' --------------------------->(1) (this is obtained by a four input NAND gate) let us take this in the manner we did it for an OR gate and we will then verify the result. =((a.b)'(c.d)')' =((a'+b').(c'+d'))' =(a'+b')'+(c'+d')' =ab+cd <------------------------(2) (1)is not equal to (2) so we can say that a NAND gate cannot be replaced in the manner as OR gate is replaced
To make a full subtractor, you need an XOR and a NAND gate.
NAND is Not AND, meaning that if both inputs are true, the output is false.Any other combination (Including 0 0) does not change the output and it remains true. It's the opposite of AND, in which both inputs must be true for the output to be true.NOR is Not OR. If at least one input is true, the output will be false.It's the opposite of OR, where the output is true if at least one input is true.The main difference is that NOR requires at least oneinput being true to make the output false, where NAND requires both to be true.
Seven gates, they are: not, and, or, nor, nand, xor, xnor.
NAND AND NOR gates are called universal gates , becaus with a combination NAND and NOR gates alone, it's possible to create all other logic gates like AND, OR, XOR etc and you can design any logic circuit. eg: inverter-- nand with inputs shorted. and ------ nand followed by a inverter(using nand). or--------- giving inverted inputs to nand gate.
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A universal gate is a gate which can implement any Boolean function without need touse any other gate type.The NAND and NOR gates are universal gates.In practice, this is advantageous since NAND and NOR gates are economical andeasier to fabricate and are the basic gates used in all IC digital logic families.In fact, an AND gate is typically implemented as a NAND gate followed by aninverter not the other way around!!Likewise, an OR gate is typically implemented as a NOR gate followed by an inverternot the other way around!!A universal gate is a gate which can implement any Boolean function without need touse any other gate type.The NAND and NOR gates are universal gates.In practice, this is advantageous since NAND and NOR gates are economical andeasier to fabricate and are the basic gates used in all IC digital logic families.In fact, an AND gate is typically implemented as a NAND gate followed by aninverter not the other way around!!Likewise, an OR gate is typically implemented as a NOR gate followed by an inverternot the other way around!!can be combined to produce AND, OR,NOT,XORand XNOR gates
universal logic gate is a gate using which you can make all the logic gates there are two such gates NOR gate and NAND gate
There are several components required to make a calculator. These include the lattice brevia, a box of nand gates, and a micro-controller.
As this is obviously a homework problem, I won't answer it. However I will give you couple of hints. First figure out how to make an exclusive-or gate from nand gates. The rest is trivial. Using a Karnaugh map will make it much simpler to design than using an ordinary truth table.
THE MAIN ADVANTAGE OF THE UNIVERSAL LOGIC GATES IS THAT IT CAN BE USED TO MADE ANT KIND OF LOGIC GATE .......BY USING IT . NAND AND NOR ARE CALLED AS UNIVERSAL GATES ARE USED TO MAKE ANY GAATES AS OR ,AND, XNOR,NOT. logic gates are used in many everyday electronic devices such as tv's, computers and telephones.
THE MAIN ADVANTAGE OF THE UNIVERSAL LOGIC GATES IS THAT IT CAN BE USED TO MADE ANT KIND OF LOGIC GATE .......BY USING IT . NAND AND NOR ARE CALLED AS UNIVERSAL GATES ARE USED TO MAKE ANY GAATES AS OR ,AND, XNOR,NOT. logic gates are used in many everyday electronic devices such as tv's, computers and telephones.
THE MAIN ADVANTAGE OF THE UNIVERSAL LOGIC GATES IS THAT IT CAN BE USED TO MADE ANT KIND OF LOGIC GATE .......BY USING IT . NAND AND NOR ARE CALLED AS UNIVERSAL GATES ARE USED TO MAKE ANY GAATES AS OR ,AND, XNOR,NOT. logic gates are used in many everyday electronic devices such as tv's, computers and telephones.
for a two input gate to represent as an n-input gate excatly n-1 two input gates are required. this implies that for a two input OR gate to represent a four input OR gate exactly three two input OR gates are required let F is =a+b+c+d =(((a+b)+c)+d) =((a+b)+(c+d)) in both the above cases + is used three times so three two input OR gates make a four input OR gates. This discussion doesnot hold good for NAND gates an example can illlustrate the reson:- take F=(a.b.c.d)'=a'+b'+c'+d' --------------------------->(1) (this is obtained by a four input NAND gate) let us take this in the manner we did it for an OR gate and we will then verify the result. =((a.b)'(c.d)')' =((a'+b').(c'+d'))' =(a'+b')'+(c'+d')' =ab+cd <------------------------(2) (1)is not equal to (2) so we can say that a NAND gate cannot be replaced in the manner as OR gate is replaced
XORing X with 1 gives X', i.e., NOT(X). If we are able to construct a NAND (AND) using XOR, we can also obtain AND (NAND) from it, which makes XOR a universal gate since inverted inputs to a NAND (AND) will give OR (NOR). However XOR is not a universal gate! Therefore we cannot obtain NAND (AND) using XOR. :-) By, Tirtha Sarathi Ghosh Class 10 IIT Kanpur Aspirant