Problem $1.$ Base Conversion $(16$ points$)$

$($a$)[4$ points$]$ Convert the number $597$ from decimal to binary using the Division Algorithm. Show your work.

Solution:

$($b$)[4$ points$]$ Convert the unsigned binary number $(10110101{)}_2$ to decimal. Show your work.

Solution:

$($c$)[4$ points$]$ Convert the decimal number $73807$ to base $16($hexadecimal$).$ Show your work. Hint: Think about how you can modify one of the methods we saw for decimal to binary to be applicable to decimal to hexadecimal.

Solution:

$($d$)[4$ points$]$ Solve for $x$ in the equation below:

$(ACDC{)}_{16}=(x{)}_{10}$

Show your work.

Solution: