What is a boolean?

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1

So by my teacher we were tasked to make a triangle guesser or something close to that, but I have no clue what a boolean is because I had missed that day, so could someone try to explain what a boolean is?

2

A boolean is just true or false.

4

ego-lay_atman-bay is right:just true or false.
But keep in mind:
that was just general coding - a google search would suffice. Look at the first result.

5

It’s like true or false, or 0 or 1. Booleans are a major function in logic and everything runs on Boolean. Binary is a good example of this - every bit is either on or off to create a number from 1 to… well, whatever the limit is.

6

tethrarxitet is right, it is a 0/1. but be wary of AND, OR, And NOT.

  • A usual Boolean stores a 1 for ON and 0 for OFF. that’s the basis. we know that.
  • An AND Boolean checks if both the first and second Boolean are a 1, then emits an ON. (for example, 0-0, 0-1, and 1-0 are all lacking both being a 1, so it emits OFF. meanwhile, both are 1’s in a case of 1-1, so then it emits ON.)
  • An OR Boolean checks if either the first or second Boolean are a 1, then emits an ON. (for example, a 0-0 has neither being a 1, so it emits an OFF. but in the cases of 0-1, 1-0, and 1-1, either one or both of the two emit a 1, so it emits an ON.
  • now for NOT. NOT gates are switcheroos. if it sees an ON, it makes it an OFF. it sees an OFF, it makes it an ON.
  • MINI EXPLINATION ZONE:
    • by putting an AND in a NOT, you get a XAND.
    • by putting an OR in a NOT, you get a XOR.
    • by putting an AND in one of the slots of an AND, you get a THREE WAY AND (TWA).
    • in Boolean land, its all 1’s and 0’s. no 2’s.

i just felt the urge to explain this, and i might make a project on it.

adhd go brr.

7

You can also set a variable to a Boolean:
Variable Boolean 1 Variable Boolean 2

8

if either the first or second Boolean are is a 1

you get a XAND NAND

9

Isn’t XOR literally just “OR AND (NOT AND)”? Meaning:
TRUE ⊻ FALSE = TRUE
FALSE ⊻ TRUE = TRUE
TRUE ⊻ TRUE = FALSE
FALSE ⊻ FALSE = FALSE

NOT OR would be NOR, which is another different thing.

10

Thank you, tethraxitet!

11

wait XOR is OR AND? i thought it was OR (OR) → XOR (NOT OR). so its NOR and NAND, not XOR and XAND. got it.

12

Not quite - it’s OR AND (NOT AND), where 1 and 2 will return true if one is on [OR], and [AND] if both are on or off, it will return false [NOT AND].

If that doesn’t help much, let me show a block example:

<<<case 1> or <case 2> @<:> > and <not <<case 1> and <case 2> @<:> > > @<:> >

14

so is it NOR or XOR or both?

15

NOR is Not OR
NAND is Not AND
XOR is eXclusive OR (either one excluding the other; OR excluding the case of both)
XNOR is eXclusive NOR (both or neither)

<not <(a) or (b)>> // a nor b
<not <(a) and (b)>> // a nand b
<<(a) and <not (b)>> or <<not (a)> and (b)>> // a xor b
<<(a) or (b)> and <not <(a) and (b)>>> // a xor b
<not <(a) xor (b) :: operators>> // a xnor b
<<(a) and (b)> or <not <(a) or (b)>>> // a xnor b
16

So it’s the same as = ?

17

Yes, in the domain of boolean