Difference between revisions of "Boolean Algebra"
| Line 6: | Line 6: | ||
this can be done by adding the following around any term you wish to negate.: | this can be done by adding the following around any term you wish to negate.: | ||
| − | <nowiki>\overline{}</nowiki> | + | <nowiki><math> \overline{} </math></nowiki> |
<math> \overline{a}</math> | <math> \overline{a}</math> | ||
| Line 12: | Line 12: | ||
is | is | ||
| − | <nowiki>\overline{a}</nowiki> | + | <nowiki> <math> \overline{a} </math></nowiki> |
<math> \overline{\overline{a}+b}</math> | <math> \overline{\overline{a}+b}</math> | ||
| Line 18: | Line 18: | ||
is | is | ||
| − | <nowiki>\overline{\overline{a}+b}</nowiki>. | + | <nowiki> <math> \overline{\overline{a}+b} </math></nowiki>. |
| − | |||
| − | = | + | =Identities= |
| + | ==AND Identities== | ||
| − | = | + | ==OR Identities== |
| − | = | + | =Laws= |
| + | ==Commutative Law== | ||
| − | = | + | ==Associate Law== |
| − | = | + | ==Distributive Law== |
| − | = | + | ==Redundancy Law== |
| − | =Negation Law= | + | ==Identity Law== |
| + | |||
| + | ==Negation Law== | ||
| + | |||
| + | =Equations= | ||
| + | Solving equations is a matter of applying the laws of boolean algrebra, followed by any of the identities you can find: | ||
| + | |||
| + | ==Example 1== | ||
| + | |||
| + | ==Example 2== | ||
| + | |||
| + | ==Example 3== | ||
| + | |||
| + | ==Example 4== | ||
| + | |||
| + | ==Example 5== | ||
| + | |||
| + | ==Example 6== | ||
| + | |||
| + | ==Example 7== | ||
Revision as of 08:49, 8 May 2018
Any equation must be within the <math> </math> tags. For Boolean alegbra the main issue is how to negate a term like:
or
this can be done by adding the following around any term you wish to negate.:
<math> \overline{} </math>
is
<math> \overline{a} </math>
is
<math> \overline{\overline{a}+b} </math>.
Contents
Identities
AND Identities
OR Identities
Laws
Commutative Law
Associate Law
Distributive Law
Redundancy Law
Identity Law
Negation Law
Equations
Solving equations is a matter of applying the laws of boolean algrebra, followed by any of the identities you can find:
