Multiprocessor design using polarization-encoded optical shadow-casting

Abdul Ahad S. Awwal; Mohammad A. Karim

doi:10.1364/AO.29.002107

Applied Optics
Vol. 29,
Issue 14,
pp. 2107-2112
(1990)
•https://doi.org/10.1364/AO.29.002107

Multiprocessor design using polarization-encoded optical shadow-casting

Abdul Ahad S. Awwal and Mohammad A. Karim

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Abdul Ahad S. Awwal and Mohammad A. Karim, "Multiprocessor design using polarization-encoded optical shadow-casting," Appl. Opt. 29, 2107-2112 (1990)

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Abstract

An efficient algorithm for designing a multiprocessor logic unit using a polarization-encoded optical shadow casting system is presented. Both efficient minterm pairing and associative memory mapping with dual addresses are exploited for the design For illustration, the algorithm is used to design a parallel adder–subtracter unit.

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INPUT CONDITIONS	INPUT			OUTPUT

	A	B	C	S	C′	D	B
1	0	0	0	0	0	0	0
2	0	0	1	1	0	1	1
3	0	1	0	1	0	1	1
4	0	1	1	0	1	0	1
5	1	0	0	1	0	1	0
6	1	0	1	0	1	0	0
7	1	1	0	0	1	0	0
8	1	1	1	1	1	1	1

#	Sets of input conditions						Common pairs	Number of nonrepeating pairs
1.	(2,3)	(5,8)	(4,6)	(7,8)	(2,3)	(4,8)	(2,3)	5
2.	(2,3)	(5,8)	(4,6)	(7,8)	(2,4)	(3,8)		6
3.	(2,3)	(5,8)	(4,6)	(7,8)	(2,8)	(3,4)		6
4.	(2,3)	(5,8)	(4,7)	(6,8)	(2,3)	(4,8)	(2,3)	5
5.	(2,3)	(5,8)	(4,7)	(6,8)	(2,4)	(3,8)		6
6.	(2,3)	(5,8)	(4,7)	(6,8)	(2,8)	(3,4)		6
7.	(2,3)	(5,8)	(4,8)	(6,7)	(2,3)	(4,8)	(2,3) (4,8)	4
8.	(2,3)	(5,8)	(4,8)	(6,7)	(2,4)	(3,8)		6
9.	(2,3)	(5,8)	(4,8)	(6,7)	(2,8)	(3,4)		6
10.	(2,5)	(3,8)	(4,6)	(7,8)	(2,3)	(4,8)		6
11.	(2,5)	(3,8)	(4,6)	(7,8)	(2,4)	(3,8)	(3,8)	5
12.	(2,5)	(3,8)	(4,6)	(7,8)	(2,8)	(3,4)		5
13.	(2,5)	(3,8)	(4,7)	(6,8)	(2,3)	(4,8)		6
14.	(2,5)	(3,8)	(4,7)	(6,8)	(2,4)	(3,8)	(3,8)	5
15.	(2,5)	(3,8)	(4,7)	(6,8)	(2,8)	(3,4)		6
16.	(2,5)	(3,8)	(4,8)	(6,7)	(2,3)	(4,8)	(4,8)	5
17.	(2,5)	(3,8)	(4,8)	(6,7)	(2,4)	(3,8)	(3,8)	5
18.	(2,5)	(3,8)	(4,8)	(6,7)	(2,8)	(3,4)		6
19.	(2,8)	(3,5)	(4,6)	(7,8)	(2,3)	(4,8)		6
20.	(2,8)	(3,5)	(4,6)	(7,8)	(2,4)	(3,8)		6
21.	(2,8)	(3,5)	(4,6)	(7,8)	(2,8)	(3,4)	(2,8)	5
22.	(2,8)	(3,5)	(4,7)	(6,8)	(2,3)	(4,8)		6
23.	(2,8)	(3,5)	(4,7)	(6,8)	(2,4)	(3,8)		6
24.	(2,8)	(3,5)	(4,7)	(6,8)	(2,8)	(3,4)	(2,8)	5
25.	(2,8)	(3,5)	(4,8)	(6,7)	(2,3)	(4,8)	(4,8)	5
26.	(2,8)	(3,5)	(4,8)	(6,7)	(2,4)	(3,8)		6
27.	(2,8)	(3,5)	(4,8)	(6,7)	(2,8)	(3,4)	(2,8)	5

INPUT CONDITIONS	INPUT			OUTPUT

	A	B	C	S	C′	D	B
1	0	0	0	0	0	0	0
2	0	0	1	1	0	1	1
3	0	1	0	1	0	1	1
4	0	1	1	0	1	0	1
5	1	0	0	1	0	1	0
6	1	0	1	0	1	0	0
7	1	1	0	0	1	0	0
8	1	1	1	1	1	1	1

#	Sets of input conditions						Common pairs	Number of nonrepeating pairs
1.	(2,3)	(5,8)	(4,6)	(7,8)	(2,3)	(4,8)	(2,3)	5
2.	(2,3)	(5,8)	(4,6)	(7,8)	(2,4)	(3,8)		6
3.	(2,3)	(5,8)	(4,6)	(7,8)	(2,8)	(3,4)		6
4.	(2,3)	(5,8)	(4,7)	(6,8)	(2,3)	(4,8)	(2,3)	5
5.	(2,3)	(5,8)	(4,7)	(6,8)	(2,4)	(3,8)		6
6.	(2,3)	(5,8)	(4,7)	(6,8)	(2,8)	(3,4)		6
7.	(2,3)	(5,8)	(4,8)	(6,7)	(2,3)	(4,8)	(2,3) (4,8)	4
8.	(2,3)	(5,8)	(4,8)	(6,7)	(2,4)	(3,8)		6
9.	(2,3)	(5,8)	(4,8)	(6,7)	(2,8)	(3,4)		6
10.	(2,5)	(3,8)	(4,6)	(7,8)	(2,3)	(4,8)		6
11.	(2,5)	(3,8)	(4,6)	(7,8)	(2,4)	(3,8)	(3,8)	5
12.	(2,5)	(3,8)	(4,6)	(7,8)	(2,8)	(3,4)		5
13.	(2,5)	(3,8)	(4,7)	(6,8)	(2,3)	(4,8)		6
14.	(2,5)	(3,8)	(4,7)	(6,8)	(2,4)	(3,8)	(3,8)	5
15.	(2,5)	(3,8)	(4,7)	(6,8)	(2,8)	(3,4)		6
16.	(2,5)	(3,8)	(4,8)	(6,7)	(2,3)	(4,8)	(4,8)	5
17.	(2,5)	(3,8)	(4,8)	(6,7)	(2,4)	(3,8)	(3,8)	5
18.	(2,5)	(3,8)	(4,8)	(6,7)	(2,8)	(3,4)		6
19.	(2,8)	(3,5)	(4,6)	(7,8)	(2,3)	(4,8)		6
20.	(2,8)	(3,5)	(4,6)	(7,8)	(2,4)	(3,8)		6
21.	(2,8)	(3,5)	(4,6)	(7,8)	(2,8)	(3,4)	(2,8)	5
22.	(2,8)	(3,5)	(4,7)	(6,8)	(2,3)	(4,8)		6
23.	(2,8)	(3,5)	(4,7)	(6,8)	(2,4)	(3,8)		6
24.	(2,8)	(3,5)	(4,7)	(6,8)	(2,8)	(3,4)	(2,8)	5
25.	(2,8)	(3,5)	(4,8)	(6,7)	(2,3)	(4,8)	(4,8)	5
26.	(2,8)	(3,5)	(4,8)	(6,7)	(2,4)	(3,8)		6
27.	(2,8)	(3,5)	(4,8)	(6,7)	(2,8)	(3,4)	(2,8)	5

Input	1		0
A	F	T	T	F
	H	T	V	F
B	H	H	V	V
	T	H	F	V
C	V	H	H	V
	T	V	F	H

Input	1		0
A	F	T	T	F
	H	T	V	F
B	H	H	V	V
	T	H	F	V
C	V	H	H	V
	T	V	F	H

Abstract

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Equations (17)

Applied Optics