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+
+ Given State Table
+
+ q | x=0 x=1 | z1 z2 z3 z4 z5
+
+ --------------------------------
+
+ A | D B | 0 0 0 1 1
+
+ B | E C | 0 0 1 0 1
+
+ C | A B | 1 1 0 0 1
+
+ D | E C | 1 1 1 1 1
+
+ E | D B | 1 0 0 1 1
+
+ Step 1 produces given SP Partitions
+
+ P1 = (ADE)(BC)
+
+ P2 = (AE)(B)(C)(D)
+
+ P3 = (AE)(BC)(D)
+
+ P4 = (A)(BD)(C)(E)
+
+ P5 = (AE)(BCD)
+
+ Step 2 requires three sums
+
+ P2 + P4 = (AE)(BD)(C)--> P6
+
+ There are six non trivial SP partitions.
+
+ For the first output column, None of the SP partitions are output consistent
+
+ for the second output column only P2 is output consistent
+
+ q | x=0 x=1 | z2
+
+ --------------------------------
+
+ A | D B | 0
+
+ B | A C | 0
+
+ C | A B | 1
+
+ D | A C | 1
+
+ for the third output column only P2, P4 and P6 all are output consistent
+
+ q | x=0 x=1 | z3
+
+ --------------------------------
+
+ A | B B | 0
+
+ B | A C | 0
+
+ C | A B | 1
+
+ for the fourth output column only P1 is output consistent
+
+ q | x=0 x=1 | z3
+
+ --------------------------------
+
+ A | A B | 0
+
+ B | A B | 1
+
+ for the last output column there is no need to find the SP partitions, The system is combinational. It does not depend on the state z=1 \ No newline at end of file