Logic/Similarity of electric circuits and logical operators

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Logic > Similarity of electric circuits and logical operators

Contents 1 Contents 2 Overview 2.1 Logical disjunction(∨) 2.2 Logical conjunction(∧) 3 CAI Exercise

Contents

• Category:Mathematical logic（Wikipedia）
• Boolean algebra (logic)
• Logical conjunction
• Logical disjunction

Overview

Remarks: The following discussion, a switch is turned "on/off", logical "true/false" ,this is same meaning.

Logical disjunction(∨)

"Logical disjunction" is like circuit the switches are in parallel. When switches are in parallel, if any switch turned on(true), power on(true). If all switches turned off(false), power off(false).

A	B	A ∨ B
switch_1(true/on)	switch_2(true/on)	power(true/on)
switch_1(true/on)	switch_2(false/off)	power(true/on)
switch_1(false/off)	switch_2(true/on)	power(true/on)
switch_1(false/off)	switch_2(false/off)	power(false/off)

Logical conjunction(∧)

"Logical conjunction" is like circuit the switches are in series like chain. When switches are in series, if any switch turned off(false), power off(false). If all switches turned on(true), power on(true).

A	B	A ∨ B
switch_1(true/on)	switch_2(true/on)	power(true/on)
switch_1(true/on)	switch_2(false/off)	power(false/off)
switch_1(false/off)	switch_2(true/on)	power(false/off)
switch_1(false/off)	switch_2(false/off)	power(false/off)

CAI Exercise

• Go to CAI Exercise page