For the Boolean functions E and F, as given in the following truth table:
X | Y | Z | E | F |
0 | 0 | 0 | 0 | 1 |
0 | 0 | 1 | 1 | 0 |
0 | 1 | 0 | 1 | 1 |
0 | 1 | 1 | 0 | 0 |
1 | 0 | 0 | 1 | 1 |
1 | 0 | 1 | 0 | 0 |
1 | 1 | 0 | 1 | 0 |
1 | 1 | 1 | 0 | 1 |
(a) List the minterms and maxterms of each function.
(b) List the minterms of and
(c) List the minterms of E + F and E ∙ F.
(d) Express E and F in sum-of-minterms algebraic form.
(e) Simplify E and F to expressions with a minimum of literals.
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