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Boolean AND one

If we have an expression like:

…then for any value of , we are ANDing it with one. If we and anything with 1, then we just get back the value .

We know that, because of the AND truth table:

  • 1 AND 1 = 1
  • 0 AND 1 = 0, so:
  • A AND 1 = A

In short:

We can use this to simplify boolean algebra!