12. Which of the following expressions is the only correct canonical representation for the function F(x,y,z) = y?

- F = SUM m(0,1,4,5)
- F = SUM m(0,1,2,3)
- F = SUM m(4,5,6,7)
- F = SUM m(1,3,5,7)
- F = SUM m(2,3,6,7)

5 is CORRECT. First draw a truth table for F:

x y z | F=y
---------+----
0 0 0 | 0
0 0 1 | 0
0 1 0 | 1 -minterm
0 1 1 | 1 -minterm
1 0 0 | 0
1 0 1 | 0
1 1 0 | 1 -minterm
1 1 1 | 1 -minterm

Observe that there are 4 minterms in rows 2,3,6 and 7.
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