$1.$ Count the next $10$ numbers $($a$)$ in octal starting from $267,($b$)$ in base $3$ starting from $2102,($c$)$ in binary starting from $10101,$ and $($d$)$ in base $5$ starting from $2433.$

$2.$ Count the next $10$ numbers $($a$)$ in octal starting from $466,($b$)$ in base $3$ starting from $1201,($c$)$ in binary starting from $11011,$ and $($d$)$ in base $5$ starting from $3434.$

$3.$ Convert the following numbers from binary to decimal, assuming unsigned binary representation:

$($a$)10010$

$($b$)110$

$($c$)1011$

$($d$)1000$

$($e$)11111$

$($f$)1010101$

$4.$ Convert the following numbers from binary to decimal, assuming unsigned binary representation:

$($a$)10110$

$($b$)10$

$($c$)10101$

$($d$)10000$

$($e$)1111$

$($f$)11110000$

$5.$ Convert the following numbers from decimal to binary, assuming unsigned binary representation:

$($a$)25$

$($b$)16$

$($c$)1$

$($d$)14$

$($e$)5$

$($f$)41$

$6.$ Convert the following numbers from decimal to binary, assuming unsigned binary representation:

$($a$)12$

$($b$)35$

$($c$)3$

$($d$)0$

$($e$)27$

$($f$)16$

$7.$ With unsigned binary representation, what is the range of numbers as written in binary and in decimal for the following cells?

$($a$)$ a two$-$bit cell

$($b$)$ a three$-$bit cell

$($c$)$ a four$-$bit cell

$($d$)$ a five$-$bit cell

$($e$)$ an n$-$bit cell in general