The following exercises involve the logical operators NAND and NOR. The proposition p NAND q is true when either p or q, or both, are false; and it is false when both p and q are true. The proposition p NOR q is true when both p and q are false, and it is false otherwise. The propositions p NAND q and p NOR q are denoted by p | q and p ↓ q, respectively. (The operators and are called the Sheffer stroke and the Peirce arrow after H. M. Sheffer and C. S. Peirce, respectively.) a Construct a truth table for the logical operator NAND and NOR b Show that p | q is logically equivalent to ¬(p ^ q).

The following exercises involve the logical operators NAND and NOR. The proposition p NAND q is true when either p or q, or both, are false; and it is false when both p and q are true. The proposition p NOR q is true when both p and q are false, and it is false otherwise. The propositions p NAND q and p NOR q are denoted by p | q and p ↓ q, respectively. (The operators and are called the Sheffer stroke and the Peirce arrow after H. M. Sheffer and C. S. Peirce, respectively.) a Construct a truth table for the logical operator NAND and NOR b Show that p | q is logically equivalent to ¬(p ^ q).

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

The following exercises involve the logical operators NAND and NOR. The
proposition p NAND q is true when either p or q, or both, are false; and it is false when both p
and q are true. The proposition p NOR q is true when both p and q are false, and it is false
otherwise. The propositions p NAND q and p NOR q are denoted by p | q and p ↓ q,
respectively. (The operators and are called the Sheffer stroke and the Peirce arrow after H.
M. Sheffer and C. S. Peirce, respectively.)
a Construct a truth table for the logical operator NAND and NOR
b Show that p | q is logically equivalent to ¬(p ^ q).

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