Line 190: |
Line 190: |
| | <math>F_3^{(1)}</math> | | | <math>F_3^{(1)}</math> |
| | <math>F_{11}^{(1)}</math> | | | <math>F_{11}^{(1)}</math> |
| + | | <math>1</math> |
| + | | <math>1</math> |
| + | | <math>\texttt{(( ))}</math> |
| + | |} |
| + | |
| + | <br> |
| + | |
| + | ==Table 18. Boolean Functions on Two Variables== |
| + | |
| + | <br> |
| + | |
| + | {| align="center" border="1" cellpadding="4" cellspacing="0" style="text-align:center; width:60%" |
| + | |+ style="height:30px" | <math>\text{Table 18. Boolean Functions on Two Variables}</math> |
| + | |- style="height:40px; background:ghostwhite" |
| + | | width="14%" | <math>F</math> |
| + | | width="14%" | <math>F</math> |
| + | | colspan="4" | <math>F(x, y)</math> |
| + | | width="24%" | <math>F</math> |
| + | |- style="height:40px; background:ghostwhite" |
| + | | width="14%" | |
| + | | width="14%" | |
| + | | width="12%" | <math>F(1, 1)</math> |
| + | | width="12%" | <math>F(1, 0)</math> |
| + | | width="12%" | <math>F(0, 1)</math> |
| + | | width="12%" | <math>F(0, 0)</math> |
| + | | width="24%" | |
| + | |- |
| + | | <math>F_{0}^{(2)}</math> |
| + | | <math>F_{0000}^{(2)}</math> |
| + | | <math>0</math> |
| + | | <math>0</math> |
| + | | <math>0</math> |
| + | | <math>0</math> |
| + | | <math>\texttt{( )}</math> |
| + | |- |
| + | | <math>F_{1}^{(2)}</math> |
| + | | <math>F_{0001}^{(2)}</math> |
| + | | <math>0</math> |
| + | | <math>0</math> |
| + | | <math>0</math> |
| + | | <math>1</math> |
| + | | <math>\texttt{(} x \texttt{)(} y \texttt{)}</math> |
| + | |- |
| + | | <math>F_{2}^{(2)}</math> |
| + | | <math>F_{0010}^{(2)}</math> |
| + | | <math>0</math> |
| + | | <math>0</math> |
| + | | <math>1</math> |
| + | | <math>0</math> |
| + | | <math>\texttt{(} x \texttt{)} y</math> |
| + | |- |
| + | | <math>F_{3}^{(2)}</math> |
| + | | <math>F_{0011}^{(2)}</math> |
| + | | <math>0</math> |
| + | | <math>0</math> |
| + | | <math>1</math> |
| + | | <math>1</math> |
| + | | <math>\texttt{(} x \texttt{)}</math> |
| + | |- |
| + | | <math>F_{4}^{(2)}</math> |
| + | | <math>F_{0100}^{(2)}</math> |
| + | | <math>0</math> |
| + | | <math>1</math> |
| + | | <math>0</math> |
| + | | <math>0</math> |
| + | | <math>x \texttt{(} y \texttt{)}</math> |
| + | |- |
| + | | <math>F_{5}^{(2)}</math> |
| + | | <math>F_{0101}^{(2)}</math> |
| + | | <math>0</math> |
| + | | <math>1</math> |
| + | | <math>0</math> |
| + | | <math>1</math> |
| + | | <math>\texttt{(} y \texttt{)}</math> |
| + | |- |
| + | | <math>F_{6}^{(2)}</math> |
| + | | <math>F_{0110}^{(2)}</math> |
| + | | <math>0</math> |
| + | | <math>1</math> |
| + | | <math>1</math> |
| + | | <math>0</math> |
| + | | <math>\texttt{(} x \texttt{,} y \texttt{)}</math> |
| + | |- |
| + | | <math>F_{7}^{(2)}</math> |
| + | | <math>F_{0111}^{(2)}</math> |
| + | | <math>0</math> |
| + | | <math>1</math> |
| + | | <math>1</math> |
| + | | <math>1</math> |
| + | | <math>\texttt{(} x y \texttt{)}</math> |
| + | |- |
| + | | <math>F_{8}^{(2)}</math> |
| + | | <math>F_{1000}^{(2)}</math> |
| + | | <math>1</math> |
| + | | <math>0</math> |
| + | | <math>0</math> |
| + | | <math>0</math> |
| + | | <math>x y</math> |
| + | |- |
| + | | <math>F_{9}^{(2)}</math> |
| + | | <math>F_{1001}^{(2)}</math> |
| + | | <math>1</math> |
| + | | <math>0</math> |
| + | | <math>0</math> |
| + | | <math>1</math> |
| + | | <math>\texttt{((} x \texttt{,} y \texttt{))}</math> |
| + | |- |
| + | | <math>F_{10}^{(2)}</math> |
| + | | <math>F_{1010}^{(2)}</math> |
| + | | <math>1</math> |
| + | | <math>0</math> |
| + | | <math>1</math> |
| + | | <math>0</math> |
| + | | <math>y</math> |
| + | |- |
| + | | <math>F_{11}^{(2)}</math> |
| + | | <math>F_{1011}^{(2)}</math> |
| + | | <math>1</math> |
| + | | <math>0</math> |
| + | | <math>1</math> |
| + | | <math>1</math> |
| + | | <math>\texttt{(} x \texttt{(} y \texttt{))}</math> |
| + | |- |
| + | | <math>F_{12}^{(2)}</math> |
| + | | <math>F_{1100}^{(2)}</math> |
| + | | <math>1</math> |
| + | | <math>1</math> |
| + | | <math>0</math> |
| + | | <math>0</math> |
| + | | <math>x</math> |
| + | |- |
| + | | <math>F_{13}^{(2)}</math> |
| + | | <math>F_{1101}^{(2)}</math> |
| + | | <math>1</math> |
| + | | <math>1</math> |
| + | | <math>0</math> |
| + | | <math>1</math> |
| + | | <math>\texttt{((} x \texttt{)} y \texttt{)}</math> |
| + | |- |
| + | | <math>F_{14}^{(2)}</math> |
| + | | <math>F_{1110}^{(2)}</math> |
| + | | <math>1</math> |
| + | | <math>1</math> |
| + | | <math>1</math> |
| + | | <math>0</math> |
| + | | <math>\texttt{((} x \texttt{)(} y \texttt{))}</math> |
| + | |- |
| + | | <math>F_{15}^{(2)}</math> |
| + | | <math>F_{1111}^{(2)}</math> |
| + | | <math>1</math> |
| + | | <math>1</math> |
| | <math>1</math> | | | <math>1</math> |
| | <math>1</math> | | | <math>1</math> |