MyWikiBiz, Author Your Legacy — Thursday November 07, 2024
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, 14:38, 20 May 2009
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| ==Truth tables== | | ==Truth tables== |
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− | Table 1 is a [[truth table]] for the sixteen boolean functions of type f : '''B'''<sup>3</sup> → '''B''', each of which is either a boundary of a point in '''B'''<sup>3</sup> or the complement of such a boundary. | + | Table 1 is a [[truth table]] for the sixteen boolean functions of type <math>f : \mathbb{B}^3 \to \mathbb{B},</math> each of which is either a boundary of a point in <math>\mathbb{B}^3</math> or the complement of such a boundary. |
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− | {| align="center" border="1" cellpadding="4" cellspacing="0" style="background:#e6e6ff; font-weight:bold; text-align:center; width:80%" | + | {| align="center" border="1" cellpadding="4" cellspacing="0" style="background:whitesmoke; font-weight:bold; text-align:center; width:80%" |
| |+ Table 1. Logical Boundaries and Their Complements | | |+ Table 1. Logical Boundaries and Their Complements |
− | | width="20%" | L<sub>1</sub> | + | | width="20%" | <math>\mathcal{L}_1</math> |
− | | width="20%" | L<sub>2</sub> | + | | width="20%" | <math>\mathcal{L}_2</math> |
− | | width="20%" | L<sub>3</sub> | + | | width="20%" | <math>\mathcal{L}_3</math> |
− | | width="20%" | L<sub>4</sub> | + | | width="20%" | <math>\mathcal{L}_4</math> |
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| | Decimal | | | Decimal |
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− | | align="right" | p = | + | | align="right" | <math>p =\!</math> |
| | 1 1 1 1 0 0 0 0 | | | 1 1 1 1 0 0 0 0 |
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| |- | | |- |
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− | | align="right" | q = | + | | align="right" | <math>q =\!</math> |
| | 1 1 0 0 1 1 0 0 | | | 1 1 0 0 1 1 0 0 |
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| |- | | |- |
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− | | align="right" | r = | + | | align="right" | <math>r =\!</math> |
| | 1 0 1 0 1 0 1 0 | | | 1 0 1 0 1 0 1 0 |
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| |} | | |} |
− | {| align="center" border="1" cellpadding="4" cellspacing="0" style="background:ghostwhite; font-weight:bold; text-align:center; width:80%" | + | {| align="center" border="1" cellpadding="4" cellspacing="0" style="background:ghostwhite; font-weight:bold; text-align:center; width:80%" |
| |- | | |- |
| | width="20%" | f<sub>104</sub> | | | width="20%" | f<sub>104</sub> |