Let Y be a $4-$bit unsigned integer represented as Y $=$ y$3$ y$2$ y$1$ y$0.$ Construct a

logic function for each of the following conditions. NOTE: y$3,$ y$2,$ y$1,$ and y$0$ are

singular bits either $0$ or $1.$

a$)$ Y has an odd number of $1$s$.$

b$)$ Y when interpreted as an unsigned binary number is greater than or equal

to $9.$

c$)$ Y when interpreted as a signed $($two$\text{'}$s complement$)$ number is less than $-3.$

d$)$ Y represents a value that is divisible by $3.$