Example: Design a 3-bit up counter (con’t)

3. Encode the next state functions

• Assume D flip-flops for the state bits

N3 := C1C2C3' + C1'C3 + C2'C3

:= C1C2C3' + (C1' + C2')C3

:= (C1C2) xor C3

N2 := C1C2' + C1'C2

:= C1 xor C2

N1 := C1'

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