$1.(8$ points$)$ Let A $=\{1,\{1\},\{2\}\}\{$ For each of the following statements, determine if it is true or false. $($a$)16$ A $($b$)\{1\}$ E A $($c$)$ ICA $($d$)\{2\}$ CA $($e$)2$ E A $($f$)\{\{2\}\}$ SA $($g$)$ DE A $($h$)$ OCA $2.(4$ points$)$ Convert the decimal number $689$ to binary. Show your steps. $3.(4$ points$)$ Convert the binary number $110010110$ to decimal. Show your steps.