Circuit that accept 4-bit number and generate its triple, what does that mean? Can someone give me an example of it?

Question

I have to design a combinational circuit that accepts a 4-bit number and generate its triple, what does it mean? Can someone please give me an example of a specific input and its output so I can understand the question?

If you could give me also any hint for designing this circuit I would be very grateful.

Thank you.

Answer 1

Start with a truth table:

IN              OUT
 0   0 0 0 0     0   0 0 0 0 0 0
 1   0 0 0 1     3   0 0 0 0 1 1
 2   0 0 1 0     6   0 0 0 1 1 0
 3   0 0 1 1     9   0 0 1 0 0 1
 4   0 1 0 0     C   0 0 1 1 0 0
 5   0 1 0 1     F   0 0 1 1 1 1
 6   0 1 1 0    12   0 1 0 0 1 0
 7   0 1 1 1    15   0 1 0 1 0 1
 8   1 0 0 0    18   0 1 1 0 0 0
 9   1 0 0 1    1B   0 1 1 0 1 1
 A   1 0 1 0    1E   0 1 1 1 1 0
 B   1 0 1 1    21   1 0 0 0 0 1
 C   1 1 0 0    24   1 0 0 1 0 0
 D   1 1 0 1    27   1 0 0 1 1 1
 E   1 1 1 0    2A   1 0 1 0 1 0
 F   1 1 1 1    2D   1 0 1 1 0 1

Then use a standard technique such as a Karnaugh Map to deduce the input/output expressions.