Desige a combinational circuit with three inputs $(x,y,z)$ and one output $($F$)$ where

a$)$ The output is $1$ when the binary value of the inputs is less than $2.$ The output is $0$ otherwise.

b$)$ The output is $1$ when the binary value of the inputs is less than $3.$ The output is $0$ otherwise.

c$)$ The output is $1$ when the binary value of the inputs is less than $5.$ The output is $0$ otherwise.

d$)$ The output is $1$ when the binary value of the innuts is less than $6.$ The output is $0$ otherwise.