Please show work for math problems.
1) Add the following 16-bit 2's complement numbers (represented in Hex, assume word size of the computer is 16 bits): A5F9 + BBFA and indicate whether or not there is a carry and/or an overflow generated. Also give the result of the calculation in base-10 format if there is no overflow.
2) Add the following 16-bit 2's complement numbers (represented in Hex, assume word size of the computer is 16 bits): 41AB + 3A8F and indicate whether or not there is a carry and/or an overflow generated. Also give the result in base-10 format if there is no overflow.
For problems 3 and 4 below, assume a binary format consisting of a sign bit (negative = 1), a base 2, 8 bit, excess -128 exponent, and 23 bits of mantissa, with the implied binary point to the right of the first bit of the mantissa.
3) Using the floating point format described in problem 5.19 on page 128 of your text, convert the floating point number represented by 10000100111011011101110001010000 to base 10 (decimal) representation.
4) Using the floating point format described in problem 5.19 on page 128 of your text, convert -35.875 base 10 to the floating point representation.
5) In a paragraph or less, describe the concept of virtual memory and the use of paging and how it works to increase the addressable memory space in a computer.
6) How does the use of interrupts increase the efficiency of a computer while executing programs.