due in 18 hrs

Design a binary coded decimal to seven-segment display encoder.

To get full points include all seven K-maps, all seven Boolean equations and a complete logic gate diagram. For an additional 5 points draw the seven segment pattern that would be displayed for all the input values of 10 through 15. (Hint: you could use a simulator like logisim to simulate your circuit to find the patterns.)

Seven-Segment Display

Decimal	A3	A2	A1	A0		a		b		c		d		e		f		g
0	0	0	0	0	1		1		1		1		1		1		0
1	0	0	0	1		0			1			1			0			0			0			0
2	0	0	1	0	1		1		0		1		1		0		1
3	0	0	1	1		1			1			1			1			0			0			1
4	0	1	0	0	0		1		1		0		0		1
5	0	1	0	1		1			0			1			1			0			1			1
6	0	1	1	0	1		0		1		1		1		1		1
7	0	1	1	1		1			1			1			0			0			0			0
8	1	0	0	0	1		1		1		1		1		1		1
9	1	0	0	1		1			1			1			1			0			1			1
10	1	0	1	0		x		x		x		x		x		x		x
11	1	0	1	1		x			x			x			x			x			x			x
12	1	1	0	0		x		x		x		x		x		x		x
13	1	1	0	1		x			x			x			x			x			x			x
14	1	1	1	0		x		x		x		x		x		x		x
15	1	1	1	1		x			x			x			x			x			x			x