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Propositional wffs and truth tables belong to a system of two-valued logic because everything has one of two values, False or True. Three-valued logic allows a third value of Null or "unknown" (Section 5.3 dis- cusses the implications of three-valued logic on databases). The truth tables for this three-valued system follow. в АЛВ А| в AVB A A' A т т т т т N т N т т N N N N N a. Viewing N as “unknown", explain why it is reasonable to define TAN= N, FVN = N, and N' = N. Suppose the statement, “Flight 237 is on time," is true, the statement, "Runway conditions are icy." is false, and the truth value of the statement, “Flight 51 is on time," is unknown. Find the truth values of the following statements. b. Runway conditions are not icy and flight 51 is on time. c. Flight 51 is on time and flight 237 is not. d. Flight 51 is not on time or runway conditions are not icy.

Propositional wffs and truth tables belong to a system of two-valued logic because everything has one of two values, False or True. Three-valued logic allows a third value of Null or "unknown" (Section 5.3 dis- cusses the implications of three-valued logic on databases). The truth tables for this three-valued system follow. в АЛВ А| в AVB A A' A т т т т т N т N т т N N N N N a. Viewing N as “unknown", explain why it is reasonable to define TAN= N, FVN = N, and N' = N. Suppose the statement, “Flight 237 is on time," is true, the statement, "Runway conditions are icy." is false, and the truth value of the statement, “Flight 51 is on time," is unknown. Find the truth values of the following statements. b. Runway conditions are not icy and flight 51 is on time. c. Flight 51 is on time and flight 237 is not. d. Flight 51 is not on time or runway conditions are not icy.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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In a three-valued logic system as described as shown, how many rows are needed for a truth table with n statement letters?

Propositional wffs and truth tables belong to a system of two-valued logic because everything has one of two values, False or True. Three-valued logic allows a third value of Null or "unknown" (Section 5.3 dis- cusses the implications of three-valued logic on databases). The truth tables for this three-valued system follow. в АЛВ А| в AVB A A' A т т т т т N т N т т N N N N N a. Viewing N as “unknown", explain why it is reasonable to define TAN= N, FVN = N, and N' = N. Suppose the statement, “Flight 237 is on time," is true, the statement, "Runway conditions are icy." is false, and the truth value of the statement, “Flight 51 is on time," is unknown. Find the truth values of the following statements. b. Runway conditions are not icy and flight 51 is on time. c. Flight 51 is on time and flight 237 is not. d. Flight 51 is not on time or runway conditions are not icy.
Transcribed Image Text:Propositional wffs and truth tables belong to a system of two-valued logic because everything has one of two values, False or True. Three-valued logic allows a third value of Null or "unknown" (Section 5.3 dis- cusses the implications of three-valued logic on databases). The truth tables for this three-valued system follow. в АЛВ А| в AVB A A' A т т т т т N т N т т N N N N N a. Viewing N as “unknown", explain why it is reasonable to define TAN= N, FVN = N, and N' = N. Suppose the statement, “Flight 237 is on time," is true, the statement, "Runway conditions are icy." is false, and the truth value of the statement, “Flight 51 is on time," is unknown. Find the truth values of the following statements. b. Runway conditions are not icy and flight 51 is on time. c. Flight 51 is on time and flight 237 is not. d. Flight 51 is not on time or runway conditions are not icy.
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