Question 626759
Construct the table to get

<TABLE BORDER=1>
<TR>
  <TD>p</TD>
  <TD>q</TD>
  <TD>~q</TD>
  <TD>~q ^ p</TD>
</TR>
<TR>
  <TD>T</TD>
  <TD>T</TD>
  <TD>F</TD>
  <TD>F</TD>
</TR>
<TR>
  <TD>T</TD>
  <TD>F</TD>
  <TD>T</TD>
  <TD>T</TD>
</TR>
<TR>
  <TD>F</TD>
  <TD>T</TD>
  <TD>F</TD>
  <TD>F</TD>
</TR>
<TR>
  <TD>F</TD>
  <TD>F</TD>
  <TD>T</TD>
  <TD>F</TD>
</TR>
</TABLE>


Note: ~q is the opposite of q, so when q is true, then ~q is false. The value of p ^ q is only true when both p and q are true.