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