Draw the diagram for the decoder question below ( ( Digital System ) ) :b . .
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Question:
Draw the diagram for the decoder question below (Digital System):b. Decoders 3-
to−8:
to−8:
Combine two 3to−8 decoders to create a 4to−16 decoder.
Connect inputs A and B to the select lines of the first decoder.
Connect inputs C and D to the select lines of the second decoder.
Enable only the outputs corresponding to the minterms (0,2,4,6,8,10) of the function.
OR the enabled outputs together to produce F(A, B, C, D).
Here's a text−based description of the diagram for implementing F(A, B, C, D) using 3to−8 decoders:
Diagram:
Inputs: A, B, C, D
Output: F(A, B, C, D)
Components:
Two 3-to−8 decoders
Six OR gates
Connections:
Connect inputs A and B to the select lines (S0 and S1) of the first decoder.
Connect inputs C and D to the select lines (S0 and S1) of the second decoder.
Enable only the following outputs of the decoders using AND gates:
Output 0 of both decoders (0000)
Output 2 of both decoders (0010)
Output 4 of both decoders (0100)
Output 6 of both decoders (0110)
Output 8 of both decoders (1000)
Output 10 of both decoders (1010)
Connect these enabled outputs to a 6input OR gate.
Connect the output of the OR gate to the output F(A, B, C, D).
Explanation:
The decoders create 16 possible output combinations based on the 4 inputs A, B, C, and D.
By enabling only the outputs corresponding to the minterms of the function (0,2,4,6,8,10), we ensure that the output F(A, B, C, D) is only 1 when one of these minterms is true.
The OR gate combines these enabled outputs, producing a final output of 1 only when one or more of the minterms are true, correctly implementing the function.
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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