Design a divisibility decoder The circuit should have 4 inputs (x,y,z,w) and three outputs (F,G,H) F will be true if the input number is divisible by 2 G will be true if the input number is divisible by 3 H will be true if the input number is divisible by 4 Design and draw the corresponding circuit...

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Design a divisibility decoder. The circuit should have 4 inputs (x,y,z,w) and three outputs (F,G,H). F will

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Design a divisibility decoder. The circuit should have 4 inputs (x,y,z,w) and three outputs (F,G,H). F will be true if the input number is divisible by 2. G will be true if the input number is divisible by 3. H will be true if the input number is divisible by 4. Design and draw the corresponding circuit. Show all work.