Line 3: |
Line 3: |
| ==Truth Tables== | | ==Truth Tables== |
| | | |
− | ===New Version=== | + | ===Version 3?=== |
| | | |
| <br> | | <br> |
Line 179: |
Line 179: |
| <br> | | <br> |
| | | |
− | ===Old Version=== | + | ===Version 2=== |
| + | |
| + | <br> |
| + | |
| + | {| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:90%" |
| + | |+ <math>\text{Table 1.}~~\text{Logical Boundaries and Their Complements}</math> |
| + | |- style="background:#f0f0ff" |
| + | | <math>\mathcal{L}_1</math> |
| + | | <math>\mathcal{L}_2</math> |
| + | | <math>\mathcal{L}_3</math> |
| + | | <math>\mathcal{L}_4</math> |
| + | |- style="background:#f0f0ff" |
| + | | |
| + | | align="right" | <math>p\colon\!</math> |
| + | | <math>1~1~1~1~0~0~0~0</math> |
| + | | |
| + | |- style="background:#f0f0ff" |
| + | | |
| + | | align="right" | <math>q\colon\!</math> |
| + | | <math>1~1~0~0~1~1~0~0</math> |
| + | | |
| + | |- style="background:#f0f0ff" |
| + | | |
| + | | align="right" | <math>r\colon\!</math> |
| + | | <math>1~0~1~0~1~0~1~0</math> |
| + | | |
| + | |- |
| + | | |
| + | <math>\begin{matrix} |
| + | f_{104} |
| + | \\[4pt] |
| + | f_{148} |
| + | \\[4pt] |
| + | f_{146} |
| + | \\[4pt] |
| + | f_{97} |
| + | \\[4pt] |
| + | f_{134} |
| + | \\[4pt] |
| + | f_{73} |
| + | \\[4pt] |
| + | f_{41} |
| + | \\[4pt] |
| + | f_{22} |
| + | \end{matrix}</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | f_{01101000} |
| + | \\[4pt] |
| + | f_{10010100} |
| + | \\[4pt] |
| + | f_{10010010} |
| + | \\[4pt] |
| + | f_{01100001} |
| + | \\[4pt] |
| + | f_{10000110} |
| + | \\[4pt] |
| + | f_{01001001} |
| + | \\[4pt] |
| + | f_{00101001} |
| + | \\[4pt] |
| + | f_{00010110} |
| + | \end{matrix}</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | 0~1~1~0~1~0~0~0 |
| + | \\[4pt] |
| + | 1~0~0~1~0~1~0~0 |
| + | \\[4pt] |
| + | 1~0~0~1~0~0~1~0 |
| + | \\[4pt] |
| + | 0~1~1~0~0~0~0~1 |
| + | \\[4pt] |
| + | 1~0~0~0~0~1~1~0 |
| + | \\[4pt] |
| + | 0~1~0~0~1~0~0~1 |
| + | \\[4pt] |
| + | 0~0~1~0~1~0~0~1 |
| + | \\[4pt] |
| + | 0~0~0~1~0~1~1~0 |
| + | \end{matrix}</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | ( p , q , r ) |
| + | \\[4pt] |
| + | ( p , q , (r)) |
| + | \\[4pt] |
| + | ( p , (q), r ) |
| + | \\[4pt] |
| + | ( p , (q), (r)) |
| + | \\[4pt] |
| + | ((p), q , r ) |
| + | \\[4pt] |
| + | ((p), q , (r)) |
| + | \\[4pt] |
| + | ((p), (q), r ) |
| + | \\[4pt] |
| + | ((p), (q), (r)) |
| + | \end{matrix}</math> |
| + | |- |
| + | | |
| + | <math>\begin{matrix} |
| + | f_{233} |
| + | \\[4pt] |
| + | f_{214} |
| + | \\[4pt] |
| + | f_{182} |
| + | \\[4pt] |
| + | f_{121} |
| + | \\[4pt] |
| + | f_{158} |
| + | \\[4pt] |
| + | f_{109} |
| + | \\[4pt] |
| + | f_{107} |
| + | \\[4pt] |
| + | f_{151} |
| + | \end{matrix}</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | f_{11101001} |
| + | \\[4pt] |
| + | f_{11010110} |
| + | \\[4pt] |
| + | f_{10110110} |
| + | \\[4pt] |
| + | f_{01111001} |
| + | \\[4pt] |
| + | f_{10011110} |
| + | \\[4pt] |
| + | f_{01101101} |
| + | \\[4pt] |
| + | f_{01101011} |
| + | \\[4pt] |
| + | f_{10010111} |
| + | \end{matrix}</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | 1~1~1~0~1~0~0~1 |
| + | \\[4pt] |
| + | 1~1~0~1~0~1~1~0 |
| + | \\[4pt] |
| + | 1~0~1~1~0~1~1~0 |
| + | \\[4pt] |
| + | 0~1~1~1~1~0~0~1 |
| + | \\[4pt] |
| + | 1~0~0~1~1~1~1~0 |
| + | \\[4pt] |
| + | 0~1~1~0~1~1~0~1 |
| + | \\[4pt] |
| + | 0~1~1~0~1~0~1~1 |
| + | \\[4pt] |
| + | 1~0~0~1~0~1~1~1 |
| + | \end{matrix}</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | (((p), (q), (r))) |
| + | \\[4pt] |
| + | (((p), (q), r )) |
| + | \\[4pt] |
| + | (((p), q , (r))) |
| + | \\[4pt] |
| + | (((p), q , r )) |
| + | \\[4pt] |
| + | (( p , (q), (r))) |
| + | \\[4pt] |
| + | (( p , (q), r )) |
| + | \\[4pt] |
| + | (( p , q , (r))) |
| + | \\[4pt] |
| + | (( p , q , r )) |
| + | \end{matrix}</math> |
| + | |} |
| + | |
| + | <br> |
| + | |
| + | ===Version 1=== |
| | | |
| <br> | | <br> |