Propositional Logic: Basic Logic Gates Warmup 3

Logic Level 1

The AND gates in the diagram will output a 1 if both inputs are also 1.

If A = 1, B = 1, and C = 0, what will the final output be?

0 1

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4 solutions

Mahdi Raza
Aug 4, 2020

1 Helpful 1 Interesting 2 Brilliant 2 Confused
Brilliant Mathematics Staff
Aug 1, 2020

The first AND gate (with 1 AND 1) outputs a 1.

This along with 0 goes into the second AND gate, outputting a 0.

1 Helpful 1 Interesting 2 Brilliant 0 Confused

Isn't this the same as Propositional Logic: Basic Logic Gates Warmup 2 ?

Mahdi Raza - 10 months, 1 week ago

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Haha, I've made a boo-boo. I reposted it twice.

Thank you for pointing it out.

Brilliant Mathematics Staff - 10 months, 1 week ago
Khalid Hassani
Nov 19, 2020

True AND True >>> True
True AND False >>> False

0 Helpful 0 Interesting 1 Brilliant 0 Confused
Lâm Lê
Oct 5, 2020

Because an AND gate needs both the inputs to be 1, and C is 0, then the output is 0, no matter what A AND B is (in this case, it is 1).

0 Helpful 0 Interesting 1 Brilliant 0 Confused

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