$1\mathrm{.}3$ Convert the following numbers with the indicated bases to decimal:

$($a$)*(4310{)}_5$

$($b$)*(198)12$

$($c$)(435{)}_8$

$($d$)(345{)}_6$

$1\mathrm{.}4$ What is the largest binary number that can be expressed with $16$ bits? What are the equivalent decimal and hexadecimal numbers?