In this assignment we add an external input to the counting circuit discussed in class. The input a determines whether the counter counts forward or in reverse, when x = 0 then counter counts forward. When x-1, it counts backward. The partially completed excitation table is as follows: A B C NextA Ntet JA KA JB KB Je K 1 0'X0X1X 0 01 0 0 0 1 1 1 X 11X X 0 0 X 1 X 0 1 0 1 0 X 1 X1X1 I 00 1 1 0 1 1 1 10 0 /L10 1 11 0 1. Complete the excitation table. 2. Write the flip-flop inputs JA A B. , J& K, as simplified Boolean functions of z, A, B, C (use K-maps to simplify them as much as you can). 3. Implement in Logisim, save, and attach the saved .circ file