Logic/Similarity of electric circuits and logical operators
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* [[wikipedia:Logical_conjunction|Logical conjunction]] | * [[wikipedia:Logical_conjunction|Logical conjunction]] | ||
* [[wikipedia:Logical_disjunction|Logical disjunction]] | * [[wikipedia:Logical_disjunction|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). | ||
| + | |||
| + | {| border="1" class="wikitable" style="background-color:#ddf" | ||
| + | ! style="background:#ffdead;" |A | ||
| + | ! style="background:#ffdead;" |B | ||
| + | ! style="background:#ffdead;" |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). | ||
| + | |||
| + | {| border="1" class="wikitable" style="background-color:#ddf" | ||
| + | ! style="background:#ffdead;" |A | ||
| + | ! style="background:#ffdead;" |B | ||
| + | ! style="background:#ffdead;" |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 == | == CAI Exercise == | ||
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[[en:Logic/Similarity of electric circuits and logical operators]] | [[en:Logic/Similarity of electric circuits and logical operators]] | ||
| - | [[ja:電気の回路と論理積・論理和のイメージ合わせ]] | + | [[ja:論理学/電気の回路と論理積・論理和のイメージ合わせ]] |
Latest revision as of 08:26, 23 May 2014
Logic > Similarity of electric circuits and logical operators
Contents |
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) |
