Difference between revisions of "Boolean Algebra"
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==OR Identities== | ==OR Identities== | ||
− | The logic gate 'OR' in Boolean algebra is represented by a '+' symbol. | + | The logic gate 'OR' in Boolean algebra is represented by a '+' symbol. The identities for the 'OR' gate in Boolean algebra is as follows: |
− | <math> | + | |
+ | <math> 0+A = A </math> | ||
+ | "If 0 or A go in, A is the output" | ||
+ | |||
+ | <math> 1+A = 1 </math> | ||
+ | "If 1 or A is the output, 1 is the output" | ||
+ | |||
+ | <math> | ||
=Laws= | =Laws= |
Revision as of 08:25, 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
This equation means that the output is determined by the value of A. So if A =0, The output is 0, and vice versa.
Because there is a 0 in this equation, the output of this will always be 0 regardless of the value of A.
The output is determined by A alone in this equation. This can be simplified to just "A".
OR Identities
The logic gate 'OR' in Boolean algebra is represented by a '+' symbol. The identities for the 'OR' gate in Boolean algebra is as follows:
"If 0 or A go in, A is the output"
"If 1 or A is the output, 1 is the output"
or
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: