12,140
edits
Changes
→Truth tables: HTML → LaTeX
==Truth tables==
==Truth tables==
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.
{| 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>
|-
|-
| Decimal
| Decimal
|-
|-
|
|
| align="right" | p =
| align="right" | <math>p =\!</math>
| 1 1 1 1 0 0 0 0
| 1 1 1 1 0 0 0 0
|
|
|-
|-
|
|
| align="right" | q =
| align="right" | <math>q =\!</math>
| 1 1 0 0 1 1 0 0
| 1 1 0 0 1 1 0 0
|
|
|-
|-
|
|
| align="right" | r =
| align="right" | <math>r =\!</math>
| 1 0 1 0 1 0 1 0
| 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%"
{| 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>