## Thursday, 25 June 2009

### Boolean AND operation | A Special Multiplication

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There is a special field of algebra called the Boolean Algebra.

Here the algebra operates in the base 2 number system.

One special operation it performs is the AND operation.

What AND?

A simple analogy is " Mary AND John went to the park".
The meaning is that BOTH Mary and John moved together as a whole.
If either one is absent, they did not go to the park!

This is a form of multiplication.
0 x 0 = 0
1 x 0 = 0
0 x 1 = 0
1 x 1 = 1

Only when Both are present , the outcome becomes present.

Here you will notice that maths is applied to real life situation, forming into the English word "AND". But in maths, we call this "AND" as multiplication.

Boolean is utilised when the outcome is of 2 states (on or off, present or absent).

Do you see the interesting part of maths here?

Maths is mingled into daily events and is always around us if you keep an eye for it.

... :D

Anonymous said...

Example: When James or Mary come, the show will be start.

0 + 0 = 0
0 + 1 = 1
1 + 0 = 0 (Error)
1 + 1 = 1

Should actually state:

0 + 0 = 0
0 + 1 = 1
1 + 0 = 1(Correction)
1 + 1 = 1

EeHai said...

Thanks for pointing out the error.
This comment should rather be at the Boolean OR post. It has been corrected though (at that post).

Sincerely