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\end{matrix}</math>
\end{matrix}</math>
|}
<br>
{| align="center" border="1" cellpadding="4" cellspacing="0" style="background:#f0f0ff; font-weight:bold; text-align:center; width:80%"
|+ <math>\text{Table 1.}~~\text{Logical Boundaries and Their Complements}</math>
| width="20%" | <math>\mathcal{L}_1</math>
| width="20%" | <math>\mathcal{L}_2</math>
| width="20%" | <math>\mathcal{L}_3</math>
| width="20%" | <math>\mathcal{L}_4</math>
|-
| Decimal
| Binary
| Sequential
| Parenthetical
|-
|
| align="right" | <math>p =\!</math>
| 1 1 1 1 0 0 0 0
|
|-
|
| align="right" | <math>q =\!</math>
| 1 1 0 0 1 1 0 0
|
|-
|
| align="right" | <math>r =\!</math>
| 1 0 1 0 1 0 1 0
|
|}
{| align="center" border="1" cellpadding="4" cellspacing="0" style="background:ghostwhite; font-weight:bold; text-align:center; width:80%"
|-
| width="20%" | <math>f_{104}\!</math>
| width="20%" | <math>f_{01101000}\!</math>
| width="20%" | 0 1 1 0 1 0 0 0
| width="20%" | <math>( p , q , r )\!</math>
|-
| <math>f_{148}\!</math>
| <math>f_{10010100}\!</math>
| 1 0 0 1 0 1 0 0
| <math>( p , q , (r))\!</math>
|-
| <math>f_{146}\!</math>
| <math>f_{10010010}\!</math>
| 1 0 0 1 0 0 1 0
| <math>( p , (q), r )\!</math>
|-
| <math>f_{97}\!</math>
| <math>f_{01100001}\!</math>
| 0 1 1 0 0 0 0 1
| <math>( p , (q), (r))\!</math>
|-
| <math>f_{134}\!</math>
| <math>f_{10000110}\!</math>
| 1 0 0 0 0 1 1 0
| <math>((p), q , r )\!</math>
|-
| <math>f_{73}\!</math>
| <math>f_{01001001}\!</math>
| 0 1 0 0 1 0 0 1
| <math>((p), q , (r))\!</math>
|-
| <math>f_{41}\!</math>
| <math>f_{00101001}\!</math>
| 0 0 1 0 1 0 0 1
| <math>((p), (q), r )\!</math>
|-
| <math>f_{22}\!</math>
| <math>f_{00010110}\!</math>
| 0 0 0 1 0 1 1 0
| <math>((p), (q), (r))\!</math>
|}
{| align="center" border="1" cellpadding="4" cellspacing="0" style="background:ghostwhite; font-weight:bold; text-align:center; width:80%"
|-
| width="20%" | <math>f_{233}\!</math>
| width="20%" | <math>f_{11101001}\!</math>
| width="20%" | 1 1 1 0 1 0 0 1
| width="20%" | <math>(((p), (q), (r)))\!</math>
|-
| <math>f_{214}\!</math>
| <math>f_{11010110}\!</math>
| 1 1 0 1 0 1 1 0
| <math>(((p), (q), r ))\!</math>
|-
| <math>f_{182}\!</math>
| <math>f_{10110110}\!</math>
| 1 0 1 1 0 1 1 0
| <math>(((p), q , (r)))\!</math>
|-
| <math>f_{121}\!</math>
| <math>f_{01111001}\!</math>
| 0 1 1 1 1 0 0 1
| <math>(((p), q , r ))\!</math>
|-
| <math>f_{158}\!</math>
| <math>f_{10011110}\!</math>
| 1 0 0 1 1 1 1 0
| <math>(( p , (q), (r)))\!</math>
|-
| <math>f_{109}\!</math>
| <math>f_{01101101}\!</math>
| 0 1 1 0 1 1 0 1
| <math>(( p , (q), r ))\!</math>
|-
| <math>f_{107}\!</math>
| <math>f_{01101011}\!</math>
| 0 1 1 0 1 0 1 1
| <math>(( p , q , (r)))\!</math>
|-
| <math>f_{151}\!</math>
| <math>f_{10010111}\!</math>
| 1 0 0 1 0 1 1 1
| <math>(( p , q , r ))\!</math>
|}
|}