An asynchronous circuit has three inputs, in1, in2 and in3, and an output, out. When all inputs are at logic 0, the first logic 0 to logic 1 transition at any input causes the output to display the...

An asynchronous circuit has three inputs, in1, in2 and in3, and an output, out. When all inputs are at logic 0, the first logic 0 to logic 1 transition at any input causes the output to display the input ID. For example, a logic 0 to logic 1 transition at in1 while in2 = in3 = 0 produces out = 1 because this value is the ID number of in1. Similarly, the first logic 0 to logic 1 transition at in2 while in1 = in3 = 0 produces out = 2. Logic 0 to logic 1 transition at any input while one or more inputs are at logic 1 does not change the in1 in2 out [1:0] ? 0 1 2 3 0 0 1 2 0 3.4 Asynchronous Timing Methodology 129 output value. Similarly, logic 1 to logic 0 transition does not affect neither the state of the circuit nor the output value.

Form the primitive state, the output flow table(s) and the implication table to minimize the initial state and the output assignments from the waveform above. Design the fundamental mode asynchronous circuit.