I am having trouble understanding how I got these wrong on my test. Is there something I am missing with xor?

Question

There are 2 inputs. (A and B) both are connected to an OR Gate and a NAND gate. Those gates are then connected to an XOR gate. my answer for the truth table was

A B Y

0 0 1

0 1 0

1 1 1

1 0 0

I'm not sure how I got these wrong.

Answer 1

see the result below. Remember

1) OR always outputs 1 unless all inputs are 0.

2)AND always outputs 0 unless all inputs are 1

3)Invert AND to get NAND

4) For any number of inputs if the number of 1 inputs are odd XOR outputs 1 ( some times XOR is called odd detector.)

5) For any number of inputs if the number of 1 inputs are even XNOR outputs 1 ( some times XNOR is called even detector.)

Answer 2

Let Z = output of OR, W = output of NAND, Y = Z xor W.

Z W Y

0 1 1

1 1 0

1 0 1

1 1 0

A 2-input XOR will evaluate try iff one of its inputs are true and will evaluate as false if the inputs are matching. Based on what you have written, you would be correct.