Question
Express the following circuits in the symbolic form. Prepare the switching table :
Express the following circuits in the symbolic form. Prepare the switching table :
✓
Answer
Let $p :$ the switch $S_1$ is closed
$q :$ the switch $S_2$ is closed
$\sim p :$ the switch $S_1‘$ is closed or the switch $S_1$ is open
$\sim q:$ the switch $S_2‘$ is closed or the switch $S_2$ is open.
Then the symbolic form of the given circuit is :
$(p ∧ q) ∨ (\sim p) ∨ (p ∧ \sim q).$
$q :$ the switch $S_2$ is closed
$\sim p :$ the switch $S_1‘$ is closed or the switch $S_1$ is open
$\sim q:$ the switch $S_2‘$ is closed or the switch $S_2$ is open.
Then the symbolic form of the given circuit is :
$(p ∧ q) ∨ (\sim p) ∨ (p ∧ \sim q).$
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