$1.$ List all the possible $3-$bit binary patterns in signed magnitude representation and their corresponding decimal value. What is the range of values? How many total patterns $($in terms of power of $2)?$ What is the smallest negative value? What is the largest positive value? How many binary patterns for positive range? How many binary patterns for the negative range? What about zero?

$2.$ Convert the $0\mathrm{.}715$ from decimal real number to base $3$ number with six places to the right of the radix point using the $($a$)$ multiplication method $($b$)$ subtraction method. Show your work. Hint: stop after finding the sixth digits following the radix point.