complex logical operation

Given this logical operation :

(A AND B) OR (C AND D)

Is there a way to write a开发者_JAVA百科 similar expression without using any parentheses and giving the same result ? Usage of logical operators AND, OR, NOT are allowed.

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Yes:

A and B or C and D

In most programming languages, and is taken to have higher precedence than or (this stems from the equivalence of and and or to * and +, respectively).

Of course, if your original expression had been:

(A or B) and (C or D)

you couldn't simply remove the parentheses. In this instance, you'd have to "multiply out" the factors:

A and C or B and C or A and D or B and D

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How about A AND B OR C AND D? It's the same because AND takes precedence over OR.

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Just don't put any parentheses, it is the same...

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It can be written in two ways

1. A & B | C & D
2. Type as it is mentioned in question just remove the parenthesis it will show the same result.

We can use & for AND to multiply and | for OR to divide. Also simply you can write them without any parenthesis