Design a 3-bit up/down counter using positive edge-triggered T flip-flops. Provide a respective timing diagram to justify the design. Show all the relevant working (state table, state diagram, K-maps, state equations, and final circuit diagram). An up/down counter has two inputs say x, y, and a clock signal. The output should increase by 1 if x = 1 and y = 0 on each rising edge of clock and decrease when x = 0 and y = 1 on each rising edge of clock. When x = y, the output should neither increase nor decrease on each rising edge of clock.

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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Design a 3-bit up/down counter using positive edge-triggered T flip-flops. Provide a respective timing diagram to justify the design. Show all the relevant working (state table, state diagram, K-maps, state equations, and final circuit diagram). An up/down counter has two inputs say x, y, and a clock signal. The output should increase by 1 if x = 1 and y = 0 on each rising edge of clock and decrease when x = 0 and y = 1 on each rising edge of clock. When x = y, the output should neither increase nor decrease on each rising edge of clock.

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