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Write out the truth table for $ \lnot \Bigl[\bigl[\bigl(P \oplus \left(R \lor P\right)\bigr) \oplus \lnot S\bigr] \oplus Q\Bigr]$.
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$$S$$R \lor P$$P \oplus C_1$$ \lnot S$$C_2 \oplus C_3$$C_4 \oplus Q$$ \lnot C_5$
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$C_1$$C_2$$C_3$$C_4$$C_5$
$P$$Q$$R$$S$$R \lor P$$P \oplus C_1$$ \lnot S$$C_2 \oplus C_3$$C_4 \oplus Q$$ \lnot C_5$
$\mathsf{T}$$\mathsf{T}$$\mathsf{T}$$\mathsf{T}$$[\mathsf{T}]$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{T}]$$[\mathsf{F}]$
$\mathsf{T}$$\mathsf{T}$$\mathsf{T}$$\mathsf{F}$$[\mathsf{T}]$$[\mathsf{F}]$$[\mathsf{T}]$$[\mathsf{T}]$$[\mathsf{F}]$$[\mathsf{T}]$
$\mathsf{T}$$\mathsf{T}$$\mathsf{F}$$\mathsf{T}$$[\mathsf{T}]$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{T}]$$[\mathsf{F}]$
$\mathsf{T}$$\mathsf{T}$$\mathsf{F}$$\mathsf{F}$$[\mathsf{T}]$$[\mathsf{F}]$$[\mathsf{T}]$$[\mathsf{T}]$$[\mathsf{F}]$$[\mathsf{T}]$
$\mathsf{T}$$\mathsf{F}$$\mathsf{T}$$\mathsf{T}$$[\mathsf{T}]$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{T}]$
$\mathsf{T}$$\mathsf{F}$$\mathsf{T}$$\mathsf{F}$$[\mathsf{T}]$$[\mathsf{F}]$$[\mathsf{T}]$$[\mathsf{T}]$$[\mathsf{T}]$$[\mathsf{F}]$
$\mathsf{T}$$\mathsf{F}$$\mathsf{F}$$\mathsf{T}$$[\mathsf{T}]$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{T}]$
$\mathsf{T}$$\mathsf{F}$$\mathsf{F}$$\mathsf{F}$$[\mathsf{T}]$$[\mathsf{F}]$$[\mathsf{T}]$$[\mathsf{T}]$$[\mathsf{T}]$$[\mathsf{F}]$
$\mathsf{F}$$\mathsf{T}$$\mathsf{T}$$\mathsf{T}$$[\mathsf{T}]$$[\mathsf{T}]$$[\mathsf{F}]$$[\mathsf{T}]$$[\mathsf{F}]$$[\mathsf{T}]$
$\mathsf{F}$$\mathsf{T}$$\mathsf{T}$$\mathsf{F}$$[\mathsf{T}]$$[\mathsf{T}]$$[\mathsf{T}]$$[\mathsf{F}]$$[\mathsf{T}]$$[\mathsf{F}]$
$\mathsf{F}$$\mathsf{T}$$\mathsf{F}$$\mathsf{T}$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{T}]$$[\mathsf{F}]$
$\mathsf{F}$$\mathsf{T}$$\mathsf{F}$$\mathsf{F}$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{T}]$$[\mathsf{T}]$$[\mathsf{F}]$$[\mathsf{T}]$
$\mathsf{F}$$\mathsf{F}$$\mathsf{T}$$\mathsf{T}$$[\mathsf{T}]$$[\mathsf{T}]$$[\mathsf{F}]$$[\mathsf{T}]$$[\mathsf{T}]$$[\mathsf{F}]$
$\mathsf{F}$$\mathsf{F}$$\mathsf{T}$$\mathsf{F}$$[\mathsf{T}]$$[\mathsf{T}]$$[\mathsf{T}]$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{T}]$
$\mathsf{F}$$\mathsf{F}$$\mathsf{F}$$\mathsf{T}$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{T}]$
$\mathsf{F}$$\mathsf{F}$$\mathsf{F}$$\mathsf{F}$$[\mathsf{F}]$$[\mathsf{F}]$$[\mathsf{T}]$$[\mathsf{T}]$$[\mathsf{T}]$$[\mathsf{F}]$