[super introductory] What is 1 + 1 in Boolean algebra?

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For those of you who don’t know Boolean algebras, I’m an applied information engineer and I’ll cover them in jargon. In conclusion, 1 + 1 = 1. Here’s why. 
I’m Japanese. I am sorry if it is written in unnatural English.
 

What is Boolean algebra?

To speak without fear of misleading words and without technical terms, it is a mathematics to calculate whether a sentence (proposition) is correct or not. Or, it is a math to calculate what happens when a switch is turned on and off in a circuit built in a computer.
 

In Boolean algebra 1 and 0

1 and 0 mean true and false, respectively. True or false means right or wrong. In other words, the meanings of 1 and 0 are totally different. Forget the ones and zeros you know.
 
 

symbols in Boolean algebra

In Boolean algebra, ‘+’ is a symbol that means “OR” rather than adding.
 
And ‘・’ is a symbol that means “AND“, not multiplication.
 
The meanings of ‘+’ and ‘・’ are totally different from what they used to mean at school. Forget the ones and zeros you know.
 
Note that ‘-‘ and ‘/’ do not exist in the world of Boolean algebra.
 

1 + 1 in Boolean algebra

I hope you understand that 1 + 1 in Boolean algebra is not 2. Then, I will change 1 + 1 to English so that non-experts can understand the meaning.
 
Then 1 + 1 is ” “correct” or “correct” “.
 
Have you got the answer yet? The answer, of course, is “correct”.
 
That is, 1 + 1 = 1!!
 

Conclution

1 + 1 = 1.

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