Problem: A bridge can support a maximum of 7 tons, so we need to monitor the weight of vehicles coming in at both ends A and B, where two scales measure the respective weights A and B of the cars. It is assumed that each vehicle weighs fewer than 7 tons.

The operation is then as follows:

If only one vehicle shows up, the barrier (A or B) opens;

If a+b <= 7 tons, barriers A and B open;

If a+b > 7 tons, the barrier corresponding to the lightest vehicle opens,

If a=b, barrier A opens first.

Since A and B are not binary variables, it is necessary to create two binary variables, X and Y, and reformulate the problem statement.

1-Then find the equations of A and B, as a function of x and y,

2-Give the diagram using AND, OR, NOT gates.

Exercise:

Synthesize a synchronous counter modulo 12 with synchronous J-K flip-flops