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Write out the truth table for $ \lnot \bigl(\left(P \lor S\right) \land \lnot \left( \lnot Q\right)\bigr) \oplus R$.
Hint: $\land$ is AND. $\lor$ is OR. $\lnot$ is NOT. $\Rightarrow$ is IMPLIES. $\Leftrightarrow$ is IFF. $\oplus$ is XOR.
$C_1$$C_2$$C_3$$C_4$$C_5$
$P$$Q$$R$$S$$P \lor S$$ \lnot Q$$ \lnot C_2$$C_1 \land C_3$$ \lnot C_4$$C_5 \oplus R$
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$C_1$$C_2$$C_3$$C_4$$C_5$
$P$$Q$$R$$S$$P \lor S$$ \lnot Q$$ \lnot C_2$$C_1 \land C_3$$ \lnot C_4$$C_5 \oplus R$
$\mathsf{T}$$\mathsf{T}$$\mathsf{T}$$\mathsf{T}$$\mathsf{T}$$\mathsf{F}$$\mathsf{T}$$\mathsf{T}$$\mathsf{F}$$\mathsf{T}$
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$\mathsf{T}$$\mathsf{F}$$\mathsf{T}$$\mathsf{F}$$\mathsf{T}$$\mathsf{T}$$\mathsf{F}$$\mathsf{F}$$\mathsf{T}$$\mathsf{F}$
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$\mathsf{F}$$\mathsf{T}$$\mathsf{T}$$\mathsf{F}$$\mathsf{F}$$\mathsf{F}$$\mathsf{T}$$\mathsf{F}$$\mathsf{T}$$\mathsf{F}$
$\mathsf{F}$$\mathsf{T}$$\mathsf{F}$$\mathsf{T}$$\mathsf{T}$$\mathsf{F}$$\mathsf{T}$$\mathsf{T}$$\mathsf{F}$$\mathsf{F}$
$\mathsf{F}$$\mathsf{T}$$\mathsf{F}$$\mathsf{F}$$\mathsf{F}$$\mathsf{F}$$\mathsf{T}$$\mathsf{F}$$\mathsf{T}$$\mathsf{T}$
$\mathsf{F}$$\mathsf{F}$$\mathsf{T}$$\mathsf{T}$$\mathsf{T}$$\mathsf{T}$$\mathsf{F}$$\mathsf{F}$$\mathsf{T}$$\mathsf{F}$
$\mathsf{F}$$\mathsf{F}$$\mathsf{T}$$\mathsf{F}$$\mathsf{F}$$\mathsf{T}$$\mathsf{F}$$\mathsf{F}$$\mathsf{T}$$\mathsf{F}$
$\mathsf{F}$$\mathsf{F}$$\mathsf{F}$$\mathsf{T}$$\mathsf{T}$$\mathsf{T}$$\mathsf{F}$$\mathsf{F}$$\mathsf{T}$$\mathsf{T}$
$\mathsf{F}$$\mathsf{F}$$\mathsf{F}$$\mathsf{F}$$\mathsf{F}$$\mathsf{T}$$\mathsf{F}$$\mathsf{F}$$\mathsf{T}$$\mathsf{T}$