I am really having trouble with Sum of Product and Simplyfing the terms. So, it seems that Kmaps are better. But trying to figure them out has been dificult on my my own. So, here is the Truth Table I working on for a circuit that will convert Gray code to Binary, to light up a Hex Display.

Balanced Gray Code				Binary Equivalent				Hexadecimal
X3	X2	X1	X0	Y3	Y2	Y1	Y0
0	0	0	0	0	0	0	0	0
0	0	0	1	1	1	1	1	F
0	0	1	0	0	1	1	1	7
0	0	1	1	1	1	0	0	C
0	1	0	0	1	0	0	1	9
0	1	0	1	1	0	1	0	A
0	1	1	0	1	0	0	0	8
0	1	1	1	1	0	1	1	B
1	0	0	0	0	0	0	1	1
1	0	0	1	1	1	1	0	E
1	0	1	0	0	1	1	0	6
1	0	1	1	1	1	0	1	D
1	1	0	0	0	0	1	0	2
1	1	0	1	0	0	1	1	3
1	1	1	0	0	1	0	1	5
1	1	1	1	0	1	0	0	4

I am trying to simply the terms. The instructor showed me that Y0 = X3 X2 X1 X0. Now I am trying to simply the rest of them. Using SOP and the identities, i am really struggling. Can someone help me by using KMaps as i am really trying to better understand it.