Exclusive NOR/OR Gates and Relationships

Question

Consider the following tables:

Exclusive OR:

x	y	f = xy' + x'y
0	0	0
0	1	1
1	0	1
1	1	0

When x is constant 0, describe the relationship of the y input and the f output by using a Boolean equation: f = _________

When x is constant 1, describe the relationship of the y input and the f output by using a Boolean equation: f = _________

Exclusive NOR:

x	y	f = (xy' + x'y)'
0	0	1
0	1	0
1	0	0
1	1	1

When f is 1 (high), describe the relationship between x and y using a Boolen equation: y = ______

Answer 1

Exclusive OR:

When x is constant 0,  the relationship of the y input and the f output by using a Boolean equation: f = y

When x is constant 1,   the relationship of the y input and the f output by using a Boolean equation: f =  ${y}'$

Exclusive NOR:

When f is 1 (high),   the relationship between x and y using   Boolean equation: y = x