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$)2$A$7$F $($hexadecimal$)$

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

c$)1234($hexadecimal$)$

$2.(\frac{30}{100})$

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

a$)101101($binary$)$

b$)7532($octal$)$

c$)1A3($hexadecimal$)$

$3.(\frac{20}{100})$

Calculate:

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

$(\frac{20}{100})$

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

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