Note: As with the work for the previous lab, the following problems are to be done on paper collaboratively. Everyone should work in a group of two (preferred) or three students; within a group, each person should take responsibility for leading discussion for some of the problems.
Steps for this Lab:
Inputs Output A B C D ------------- ------ 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 1Explain briefly why your circuit is correct.
Try to do this with a minimum number of gates. For instance, if you were to use the straightforward method, as was done in the previous lab, your circuit might require six 4-input AND gates, one six-input OR gate, and 12 NOT gates. Using some Boolean equivalences to minimize logic expressions, design this circuit with a reduced number of gates.
This circuit requires four inputs, referred to as a1, a2, b1, and b2. a1 and a2 represent a 2-bit number, as do b1 and b2. The output will be true if the decimal number represented by the pair a1a2 is less than the decimal number represented by b1b2.
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