Given a 16-bit signed binary number. Determine the following: (a) The largest signed decimal number it can represent (10 pts.) Show the details of your solution. (b) What is the minimum amount of memory space (in bytes) should be allocated to the smallest signed hexadecimal number that it can represent? (15 pts.) Show illustration as proof. (c) What result would you get if you subtract the smallest signed decimal number that it can represent from the answer that you got in 1(a)? (15 pts.) Show the details of your answer.