Z = ¬( ¬(A * B) * ¬( ¬(A * A) * ¬(B * B) )
The above requires 5 NAND gates, but it has race conditions that may give problems in some applications. See if you can reduce the race conditions.
All other logic gates can be made using XOR and XNOR, but to get NOT, you need to do (input) XOR 1 or (input) XNOR 0, but with NAND, you don't need 1: (input) NAND (input).
An XNOR gate is a logic gate performing a Boolean logic XNOR operation, also known as an equivalence gate.
xor and xnor gates are derived from not gate
Seven gates, they are: not, and, or, nor, nand, xor, xnor.
7404
And, or, xor, xnor, nand, nor, not
NAND gates are universal gates and can be used to construct any of the logic gates (AND, OR, NOT, NOR, XOR, XNOR). The easiest way to figure this out is to use basic Boolean Laws. For instance, to create a NOT gate (A'), tie one of the NAND gate's input to logic high: (A+1)' = A'. To create an AND gate (AxB), use two NANDs in series, with the second one configured as an inverter: (AxB) = ((AxB)')'
XNOR gate is called coincidence gate
A logic gate is used to implement any digital logic. It may be AND, OR, XOR, NOT, XNOR, NAND, NOR. These logic gates can be used to implement the output equations of digital circuits in order to design them.
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.
Either XOR or XNOR can be used, but the output will be inverted on the XNOR.
(a'b+b'a)'