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here's my truth table:

A   B   C   D   Z1  Z2
0   0   0   0   0   0
0   0   0   1   1   0
0   1   0   0   0   0
0   0   1   1   1   0
0   1   0   0   0   1
0   1   0   1   1   1
0   1   1   0   0   1
0   1   1   1   0   0
1   0   0   0   0   0
1   0   1   1   1   0
1   1   0   0   0   1
1   1   0   1   0   0
1   1   1   0   0   1
1   1   1   1   1   1

How do I combine each single row's boolean expression for Z1 and Z2 into a larger term? And can you please provide a direct example of how to do it? Thanks!

The Random Movieman
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  • What do you mean by combining Boolean expressions? Also your table has only fourteen entries, not sixteen. – Parcly Taxel Nov 27 '20 at 04:08
  • The comment of @ParclyTaxel is double-edged. On the one hand, with 4 input variables, A,B,C,D there are 16 possible variations (i.e. $2^4$) and you have only shown 14. Overlooking that, as I see it, the problem is to find a rule that determines $z_1$ in terms of A,B,C,D. For example, the rule $D=1 \implies z_1 = 1$ won't do, because of the data in row 8. Presumably, you are also supposed to do the same thing for $z_2$. – user2661923 Nov 27 '20 at 04:19
  • @user2661923 some rows $A,B,C,D$ are duplicated too... – Parcly Taxel Nov 27 '20 at 04:21
  • Re @ParclyTaxel's last comment (a point that I overlooked), your 3rd and 5th row give the same input values for A,B,C,D but different output values for $z_2.$ I am guessing that one of those two rows has a typo. – user2661923 Nov 27 '20 at 04:25

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