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



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!!


1 + 1 = 1.