. Three Bit Counter Design For An Elevator 1. Design a 3-bit up/down counter which counts upwards as the input is 1, and it counts downwards as the input is 0 by using JK type FF and only NAND gates for an elevator. The next state must be 000 after 000 state when input is 0 and the next state must be 111 after 111 state when input is 1. (Do not forget an elevator can not jump from 000 state to 111 state, or vice versa.) 2. Obtain simplified Boolean function for each output by using Karnough map. 3. Draw the circuit diagram of your design.