Problem 4 (4 pts): Add the following 2's complement numbers together. Show your work for ful credit a) 01 100101 b) 1001 1001000 c Why is sign-extension important when performing arithmetic with 2's complement numbers ) For part (a), check your answer by translating the operands and results intio decimal. Problem 5 (3 pts): a) In 2's complement, how many distinct numbers can be represemed using 32 bits? b) What is the largest unsigned integer that may be represented using 32 bits? cWhat is the minimum number of bits is required to repeesent the number-121 in 2s Problem 6 (2 pts) For the following 8-bit 2's coenplement numbers, perform the stated operation. Show your work for full crodin. (a) 01000110-00100100 b) 01010011+ 01011101