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Design a counter with an external control, x, to count the sequence (i. e., 1-2-7 and repeat) when the control is 0, and the sequence (i. e., 0-3-4-5-6 and repeat) when the control is 1. These values will be displayed on a seven-segment display like the one used in Lab 5. When the control value changes, the first clock should drive the output to the first value in the appropriate count- e. g., if the circuit has been counting the second sequence, and the control switches to 0, the first clock should drive the output to 1 (or if you have been counting multiples and the control switches to 1, the first clock pulse should make the output 1). Use any flip-flops available in the lab cabinet in your design. For input and output circuits, you may use any chips available in the lab, but you must justify your choice, both of your design and of the flip flops you use (combinational logic, decoder, or PLD). You must demonstrate your counter using your 7-segment display and any additional logic gates/devices that you need to control the circuit.

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