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3. Peirce's Arrow. The operator NOR (also called Peirce's arrow) is defined as follows P NOR Q = P↓Q=NOT (P OR Q) = (PVQ). Use Boolean algebra (i.e., don't use truth tables) to prove the following identities. (a) -P= P↓ P (b) PAQ=(PP) ↓ (Q+Q) (c) PVQ=(PQ) ↓ (PQ)

3. Peirce's Arrow. The operator NOR (also called Peirce's arrow) is defined as follows P NOR Q = P↓Q=NOT (P OR Q) = (PVQ). Use Boolean algebra (i.e., don't use truth tables) to prove the following identities. (a) -P= P↓ P (b) PAQ=(PP) ↓ (Q+Q) (c) PVQ=(PQ) ↓ (PQ)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Peirce's Arrow. The operator NOR (also called Peirce's arrow) is defined as follows: P NOR Q = P Q = NOT (P OR Q) = ¬(PVQ). Use Boolean algebra (i.e., don't use truth tables) to prove the following identities. (a) -P= PP (b) PAQ=(PP) ↓ (Q+Q) (c) PVQ=(PQ) ↓ (PQ)
Transcribed Image Text:3. Peirce's Arrow. The operator NOR (also called Peirce's arrow) is defined as follows: P NOR Q = P Q = NOT (P OR Q) = ¬(PVQ). Use Boolean algebra (i.e., don't use truth tables) to prove the following identities. (a) -P= PP (b) PAQ=(PP) ↓ (Q+Q) (c) PVQ=(PQ) ↓ (PQ)
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