8. Design an unsigned 3-bit counter using D flip-flops that increments by two on each clock cycle [Qt+1= (Qt + 2)% 8] while an external input E is set to 0 but increments by one on each clock cycle [Qt+1 (Q; + 1)% 8] while the external input E is set to 1. You need to show the truth table for the circuit and find a simplified expression for each output using a K-map. Show ALL of your work and draw the final circuit.

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Up-down counter

In digital logic and computing, a counter is a device that stores (and sometimes displays) the number of times a particular event or process has occurred, often in relationship to a clock. A sequential digital logic circuit is the most common type with an input line or clock and multiple output lines. In the binary or binary-coded decimal (BCD) number system, the values on the input line represents a number by several flip-flops connected in a cascaded manner. They are manufactured as separate integrated circuits and are widely used components in digital circuits. These are also a part of larger integrated circuits. These are a specific type of sequential circuit like registers or the value of the flip-flops serving as the output.