$1.$ You are designing a simple memory addressing system for a digital device. The device

uses $16-$bit binary memory addresses. Convert the following hexadecimal memory

addresses to their equivalent $16-$bit binary addresses:

a$)2A7F($hexadecimal$)$

b$)$ FFOO $($hexadecimal$)$

c$)1234($hexadecimal$)$

$2.$ Convert the following numbers from their given base to decimal $($base$-10)$:

a$)101101($binary$)$

b$)7532($octal$)$

c$)1A3($hexadecimal$)$

$3.$Calculate:

$\frac{|-1\mathrm{.}2-|3\mathrm{.}7+(-0\mathrm{.}49*10)||}{6\sqrt[\phantom{2}]{\frac{4}{3}}}$

$4.$ If $a=1\mathrm{.}3$ and $b=-\frac{1}{2}$ calculate:

$2a-\frac{2-b}{a+b}$