Application of Boolean OR operation

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Besides the Boolean AND operation and its application, Boolean OR operation also serves a special application.

For the AND operation, which is equivalent to the maths multiplication, the use is for it to pull any untied input to a system to zero state.

For the OR operation, the concept is similar, except that now it is the maths addition.
Instead of pulling the untied input to the system to zero, you can set it to the other Boolean state, which is the "1".

In base 2 number system (Boolean), if the input is 000101, and you need the data to be all 1, just OR the input with 111111.

What you will get after this OR (adding) operation is 111111.

This is so due to the fact that 1 + 0 = 1.

Here you will see that option to set the untied input to 0 or 1 can be done using either the AND or OR operation of the Boolean system.

This is maths, if you are aware.
This is the application of maths after understanding the principles of maths operation.

Any comment?

:D