Show this to be true that any boolean function of four variables can be implemented by using one 4-to-1 multiplexer,one 2-to-4 decoder, and an unlimited number of OR gates (but the fewest number possible). Demonstrate through the example of f (a, b, c, d) = a ̄b ̄d + bc ̄d + b ̄cd + ̄acd.

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter22: Sequence Control
Section: Chapter Questions
Problem 6SQ: Draw a symbol for a solid-state logic element AND.
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Show this to be true that any boolean function of four variables can be implemented by using one 4-to-1 multiplexer,one 2-to-4 decoder, and an unlimited number of OR gates (but the fewest number possible). Demonstrate through the example of f (a, b, c, d) = a ̄b ̄d + bc ̄d + b ̄cd + ̄acd.

 
 
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