Design a 4-bit counter B( represented by B_3 B_2 B_1 B_0)which can count the spe

Question

Design a 4-bit counter B( represented by B_3 B_2 B_1 B_0)which can count the specified sequence as following: 0000 rightarrow 1111 rightarrow 0110 rightarrow 1000 rightarrow 1010 rightarrow 0000. 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. = 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.

Explanation / Answer

b0b1b2+b0b1b2b3b4+b3b0

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