Question

Assume that you are asked to design a logic circuit with the following specifications, using K-map. The circuit has two inputs X and Y and three outputs O0, O1 and O2. This circuit operates as follows: (1) the output (O0) will be high when XY only, and (3) the output (O2) will be high when X=Y only.

a)Create the truth table for this logic circuit.

b) Show the Karnaugh maps.

c) Draw the schematic, using logic gates.

Answer 1

a: Truth Table for the given problem.

X	Y	O0	O1	O2
0	0	0	0	1
0	1	0	0	0
1	0	0	0	0
1	1	1	0	1

b: Karnaugh Maps.

SOPs for O0, O1 and O2 are as follows,

O0 = XY

O1 = 0

O2 = X'Y' + XY = X NOR Y

c. Logic Diagram:

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According to the question given, the output O2 will remain always low(0).