Q$1(20$ points$)/$ Convert the following numbers. SHOW YOUR WORK:

a$.$ CAEE $(?{)}_2$

b$.(1010{)}_{10}(?{)}_2$

c$.(1010{)}_2(?{)}_{10}$

d$.(77{)}_{10}(?)$ to BCD

Q$2(20$ points$)/$ Represent the following numbers in $2\text{'}$s complement using $8-$bit representation. SHOW ${?}_{(})$ YOUR WORK:

a$)(-35{)}_{10}(?{)}_2$

b$)(-88{)}_{10}(?{)}_2$

Q$3(30$ points$)/$ Synthesize the following expressions into logic network. SHOW YOUR WORK:

a$)F=(A.B)o+(A+B)$

b$)F=W*Y^{\text{'}}*1$

c$)F=A+B+0$