Question about Exclusive-OR (XOR) gates

[tqp13]

The problem states:
An Exclusive OR (XOR) operation is a 2 input operation whose output is 1 (True) if and only if exactly one of its inputs is 1 (True). Write the Truth Table and Boolean equation using only AND, OR and NOT for this operation.

I'm a little lost at what this problem is asking. I know that

x (XOR) y = x' * y + x* y'

Does anyone know what exactly is this problem asking? Could someone please help me and give me an example? I'm really lost and I would really appreciate it..

 

[FvM]

You gave the correct booelan equation. There are different notations for it of course, as a correct answer, an expression with AND, OR, NOT instead of * + ' may be expected. In addition, you should write down the truth table, showin the output for all possible (four) input combinations. That's all.

 

[ssankurathri]

hi
you already wrote the boolean equation using AND, OR and NOT.

truth table is like:

x=0; y=1; x(XOR)y = 1
x=1; y=0; x(XOR)y = 1
x=0; y=0; x(XOR)y = 0
x=1; y=1; x(XOR)y = 0

From the above truthe table, the output x(XOR)y is '1' only for the first two equations.
x=0; y=1; x(XOR)y = 1
x=1; y=0; x(XOR)y = 1

so x(XOR)y = x' * y (from first condition) + x * y' (from second condition)

hope this helps.

 

[nikhilele]

or you can write
X(XOR)Y =( NOT(X) AND Y ) OR (X AND NOT(Y))