This is the truth table for $p\wedge q$:

${\displaystyle \begin{array}{ccc}\hfill p\hfill & \hfill q\hfill & p\wedge q\\ \hfill 1\hfill & \hfill 1\hfill & 1\\ \hfill 1\hfill & \hfill 0\hfill & 0\\ \hfill 0\hfill & \hfill 1\hfill & 0\\ \hfill 0\hfill & \hfill 0\hfill & 0\end{array}}$

OR

This is the truth table for $p\vee q$:

${\displaystyle \begin{array}{ccc}\hfill p\hfill & \hfill q\hfill & p\vee q\\ \hfill 1\hfill & \hfill 1\hfill & 1\\ \hfill 1\hfill & \hfill 0\hfill & 1\\ \hfill 0\hfill & \hfill 1\hfill & 1\\ \hfill 0\hfill & \hfill 0\hfill & 0\end{array}}$

XOR, NAND, NOR and XNOR

This is the truth table for the logical connectives XOR, NAND, NOR and XNOR.

${\displaystyle \begin{array}{cccccc}\hfill p\hfill & \hfill q\hfill & p\mathrm{XOR}q& p\mathrm{NAND}q& p\mathrm{NOR}q& p\mathrm{XNOR}q\\ \hfill 1\hfill & \hfill 1\hfill & 0& 0& 0& 1\\ \hfill 1\hfill & \hfill 0\hfill & 1& 1& 0& 0\\ \hfill 0\hfill & \hfill 1\hfill & 1& 1& 0& 0\\ \hfill 0\hfill & \hfill 0\hfill & 0& 1& 1& 1\end{array}}$