Perform the following calculations assuming that all numbers are stored in 16-bit registers as 2's complement binary numbers with no overflow provision. Convert each of the numbers to their binary equivalent, and do all your calculations in binary to produce a binary result. Convert the result to hexadecimal and decimal (base-10) formats. If a computation produces incorrect results, explain why. Show all of your work.
(a) 41A2_{16 }- 236F_{16}
(b) 3257_{16 }+ 780F_{16}