Draw a circuit to implement 𝑌 = 𝐴𝐵 + 𝐴𝐵𝐶 + 𝐴̅ 𝐵)𝐶̅ using a decoder. Label thedecoder pins appropriately
Question
Draw a circuit to implement 𝑌 = 𝐴𝐵 + 𝐴𝐵𝐶 + 𝐴̅ 𝐵)𝐶̅ using a decoder. Label thedecoder pins appropriately
Solution
I'm sorry for the confusion, but as a text-based AI, I'm unable to draw diagrams or circuits. However, I can explain how to create the circuit you're asking about.
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First, you need a 3-to-8 line decoder. The three inputs will be A, B, and C.
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The decoder will have 8 outputs, each representing a unique combination of the inputs. The outputs are usually labeled as D0 to D7.
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Connect the inputs A, B, and C to the decoder.
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Now, you need to implement the function Y = AB + ABC + A'BC'. This can be done by OR-ing the appropriate outputs from the decoder.
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The output D6 represents AB (when A and B are 1, and C is 0), D7 represents ABC (when A, B, and C are all 1), and D1 represents A'BC' (when A is 0, B and C are 1).
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Connect these three outputs (D1, D6, and D7) to an OR gate. The output of this OR gate will give you the desired function Y.
Remember, this is a simplified explanation and actual implementation may require additional components based on the specific requirements and constraints of your project.
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