Answer Happy

Write down the last NINE digits of your student ID. Write out
minterms with these numbers as subscripts of mi. You may remove the
duplicated terms.
NINE numbers are 5,2,4,6,3,7,1,8, and 1. By removing a
duplicated number ‘1’, the minterms are: m0, m1, m2, m4, m5, m6,
and m8.
Then, answer the following SEVEN questions. (50 points)
(a) Suppose there are FOUR input variables a,b,c and d, and one
output F1. OR the above minterms together to obtain a canonical
SOP. Write down the canonical SOP of F1. (2 points)
For example, according to the seven minterms obtained, the
canonical SOP is written by F(a,b,c,d) =
m0+m1+m2+m4+m5+m6+m8.
(b) ADD 3 to each subscript to get a new canonical SOP F2. Write
down the canonical SOP of F2. (2 points)
(c) Convert the canonical SOP of F1 and F2 obtained in (a) and (b)
to their equivalent canonical POS. (8 points)
(d) Construct the truth table of the Boolean function of F1 and F2
obtained in (a) and (b). (12 points)
(e) Write out the corresponding K-maps of the Boolean function of
F1 and F2.(8 points)
(f) Try to simplify the Boolean function of F1 and F2 by K-map
obtained in (e). (8 points)
(g) Draw out the logic diagram of F1 and F2 by three basic logic
gates. (10 points)