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Q1) [10 pts] Design a 2-bit binary down-counter with a control x, that operates as follow; when input x=0, the counter decrements its current value

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Q1) [10 pts] Design a 2-bit binary down-counter with a control x, that operates as follow; when input x=0, the counter decrements its current value by 1, and when x=1, counter content is ones complemented (i.e. it says it is current count). Use JK FF to design this operation that is controlled by x. And draw the circuit with minimum number of logic gates

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