Which of the following is equivalent to the Boolean expression p [] [] q ?

Question

Which of the following is equivalent to the Boolean expression p $$\wedge$$ $$\sim$$ q ?

Accepted Answer

p
    q
    $$ \sim $$ p
    $$ \sim $$ q
    p $$ \to $$ q
    $$ \sim $$ (p $$ \to $$ q)
    q $$ \to $$ p
    $$ \sim $$ (q $$ \to $$ p)

T
    T
    F
    F
    T
    F
    T
    F

T
    F
    F
    T
    F
    T
    T
    F

F
    T
    T
    F
    T
    F
    F
    T

F
    F
    T
    T
    T
    F
    T
    F

p $$ \wedge $$ $$ \sim $$ q
    $$ \sim $$ p $$ \to $$ $$ \sim $$ q
    p $$ \to $$ $$ \sim $$ q
    $$ \sim $$ (p $$ \to $$ $$ \sim $$ q)

F
    T
    F
    T

T
    T
    T
    F

F
    F
    T
    F

F
    T
    T
    F

p $$\wedge$$ $$\sim$$ q $$ \equiv $$ $$\sim$$ (p $$\to$$ q)

Option (d)

Solutions · 1