Propositional Logic: Basic Logic Gates Warmup 2

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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3 solutions

Mahdi Raza
Aug 3, 2020

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@Brilliant Mathematics , can you please resize this one as well, it's too large and I am unable to do it. Thanks!

Mahdi Raza - 10 months, 1 week ago

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Done! \quad

Brilliant Mathematics Staff - 10 months, 1 week ago

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Thank you so much!

Mahdi Raza - 10 months, 1 week ago

a = 1 , b = 1 ⇒ through AND gate ⇒ a A N D b = 1 a \ = \ 1, \ b \ = \ 1 \Rightarrow \text{through AND gate} \Rightarrow \ a \ AND \ b \ = \ \boxed{1}

a A N D b = 1 , c = 0 ⇒ through AND gate ⇒ a A N D b A N D c = 0 a \ AND \ b \ = \ 1, \ c \ = \ 0 \Rightarrow \text{through AND gate} \Rightarrow \ a \ AND \ b \ AND \ c = \boxed{0}

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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.

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