A city council has three members, A, B, and C. Each member votes on a proposition (1 for yes, 0 for no). Find a minimized SOP logic expression having inputs A, B, and C and output X that is high when the majority vote is yes and low otherwise. Show that the minimized logic circuit checks to see if any pair of the three board members have voted yes. Repeat for a council with five members.

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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A city council has three members, A, B, and C. Each member votes on a proposition (1 for yes, 0 for no). Find a minimized SOP logic expression having inputs A, B, and C and output X that is high when the majority vote is yes and low otherwise. Show that the minimized logic circuit checks to see if any pair of the three board members have voted yes. Repeat for a council with five members.

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