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