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Logical operations - Coggle Diagram
Logical operations
Boolean laws- commutative law:
identity law:The identity law observes how certain expressions behave when one of the terms is fixed.
annulment law:
Complement law:
Double complement law:This law states that if you negate a negation (i.e. if you have a NOT within a NOT) they cancel each other out.
Idempotent law: This law handles repeated variables within an expression by simplifying it to itself.
associate law:This law allows the removal of brackets from an expression and regrouping of the variables.
distributive law:This law is similar to distributivity in normal mathematics and has to do with expanding or simplifying brackets. This may be done when an AND or OR is inside the brackets and another is outside.
absorption law:
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Commutative law states that the order of terms in an expression (or part of an expression within brackets) may be reordered and the result will not be affected. This applies to both OR and AND.
The order of two variables with AND makes no difference to the output
A.B = B.A - A AND B = B AND A
The order of two variables with OR makes no difference to the output
A + B = B + A
E.g. 1+ 2 is the same as 2 + 1, 2
3 is the same as 3
2
Truth tables: OR gate:
AND gate:
NOT gate:
XOR gate:
