Question: Simplify the logic circuit in Fig. 19 by using the Table of Logical Equivalences (Table 1, Section 11.4) to derive its equivalent. Figure 19: Table
Figure 19:
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Table 1 Rules of Inference:
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AND AND NOT OR NOT AND NOT From: Conclude: 1. P. Addition 2. Subtraction PA (P-Q) (P0) ~Q (Pv Q) A -P 3. Modus ponens 4. -P Modus tollens 5. Disjunctive syllogism 6. (P-0) (@R) Hypothetical syllogism (PQ) A (RS) (PQ) A (RS) (P v R)- (Q v S) (AR) - (0S) 7a. Constructive dilemmas b.
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