Let X be a 4-bit signal, i.e. X= x3x2x1x0, with the range from 0 to15. Determine the truth table for a circuit whose 2-bit output,F=f1f0, is defined by the following statement,
If X<2, then F=0
else if 2 ≤ X < 6, then F=1
else if 6 ≤ X < 14, then F=2
else if 14 ≤ X, then F=3
In the truth table, use the don't care term to represent 1bit (or 2 bits) of the entries whose outputs are the same for thebit(s) is both 0 and 1. For example, for the F=11, X= 1110 andX=1111. Then X can be written as X=111×.