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Design a 4-bit counter F( represented by F3F2F1F0) which can count the specified sequence as following: 000010001111011010100000. The counter will use the falling edge of the clock ( denoted by Clk) and have a separate reset pin (R) which will reset the counter to 0000 when it is low (e.g. R=0 ). Please use D type Flip-flops. Write down the state diagram, and state table; Use K-map to simplify the input equations; Write down the simplified input equations and draw a neat circuit diagram. (Hint: use don't care for unused states)