Simplify (A xor B) + (A xor C) using K-maps, does (A xor B) + (B xor...

Simplify (A xor B) + (A xor C) using K-maps, does (A xor B) + (B xor C) have the same K-map?

Expert Solution

Solution for the above question is provided below. Please comment if you have any doubt below.

A	B	C	A Xor B	A Xor C	(A Xor B) + (A Xor C)
0	0	0	0	0	0
0	0	1	0	1	1
0	1	0	1	0	1
0	1	1	1	1	1
1	0	0	1	1	1
1	0	1	1	0	1
1	1	1	0	0	0

k-map is provided below.

A BC	00	01	11	10
0	0	1	1	1
1	1	1	0	1

(A Xor B) + (A Xor C) = AB’ + B’C + A’B + BC’

A	B	C	A Xor B	B Xor C	(A Xor B) + (B Xor C)
0	0	0	0	0	0
0	0	1	0	1	1
0	1	0	1	1	1
0	1	1	1	0	1
1	0	0	1	0	1
1	0	1	1	1	1
1	1	1	0	0	0

k-map is provided below.

A BC	00	01	11	10
0	0	1	1	1
1	1	1	0	1

(A Xor B) + (B Xor C) = AB’ + B’C + A’B + BC’

Both have the same K-map.

venereology answered 3 hours ago

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