AND gate using XOR gate

[spauls]

and gate using xor gate

how to design an AND gate from XOR gate.

 

[checkmate]

xor universal gate

A XOR gate gives TRUE as long as the inputs are the same.
So we use another XOR gate to seperate both LOW and both HIGH.
A.B = (A^B)^A = (A^B)^B

 

[spauls]

and gate using xor

Thanks ,
is it possible to make OR gate with XOR ,
Also can we make AND/OR gate using XNOR .

 

[dBUGGER]

or gate using xor gate

Hi,
I think the solution given is not correct (A^B)^A does not give A.B
we get the following o/p
A B o/p
0 0 0
0 1 1
1 0 0
1 1 1
Can anyone provide the correct answer ?

Best Regards,

 

[checkmate]

or gate using xor

My apologies, wasnt thinking too well. Anyway, this should work, although I'm not too sure if it uses the least XOR gates. Baiscally uses the idea of !A = 1^A.

A.B = (((A^B)^1)^A)^1

Any combinational circuit can be accomplished using NAND/NOT or NOR/NOT gates. THe idea is to manipulate using De Morgan's Theorem.

 

[wkong_zhu]

implement or gate using xor gate

By boolean algebra, (0,1,&,|) forms a field, (0,1,^,|) also forms a field. use de morgan dicipline, add ~ operator, (&, ~) is enough, (| ~) is also enough. but ^ can't benefit from de morgan, (^, ~) is not enough.
In this example, I think A.B can't be represented by only ^ operator.

 

[bizoo]

xor using and gate

can ne body tell me how make And and OR gates using buffers?

 

[nand_gates]

or gate using xor and and

Yes!
You can't have AND gate using XOR gate! You can only get
buffer or inverter!

To be an universal gate a gate needs to satisfy both the following conditions!
1. You should be able to get inverter using the gate.
2. You should be able to block the input.

Here by 2 what i means is this....
Take a 2 input NAND gate
1. is satisfied if you connect one input to '1' o/p will be inversion of input!
2. is satisfied if you connect one input to '0' o/p will be '1' other input wont
have any effect on o/p. i.e. other input gets blocked!

Only a MUX, NAND and NOR gates satisfy both the above conditions and are
Universal gates!
XOR satisfies only 1st condition!

 

[gerryhsu]

xor using and and or gate

can ne body tell me how make And and OR gates using buffers?

No, You can't.
But you can make any gate using NAND gates. Or any gate using NOR gate.
NAND gate and NOR gate n-p complete.

 

[power-twq]

and gate using xor gates

It seems that a XOR is not a universe gate,

it can't be used to construct a and gate.

am I right.

best regards

how to design an AND gate from XOR gate.

 

[Pramod]

xor gate using and and or

Hi,
How to design basic gates using mux

 

[dr_dft]

universal gate xor

AND: Y=A? B:0;
OR: Y=A? 1:B;
INV: Y=A? 0:1;

You can build any other logic from these.
I think some FPGAs like Actel used MUXes to build their combinational logic.

 

[soccer]

how to make a xor gate using and, or and not

why you construct and gate with xor gates?

 

[viv_1005]

make and gate from xor

Any combinational logic can be implemented using a universal gate. A nand gate and a nor gate are called as universal gate. (U even dont require a not gate). U can also implement a combinationla logic or basic gates using muxes. Implementing comb logic using muxes is useful in the cases of FPGAs, if you are having a shortage of comb gates.