1. Convert the following decimal numbers to binary representation: a. 21 b. 55 c. 1779 d. 2022 2. Convert the following binary number to decimal: a. 1101101 b. 10001111 c. 10011110 3. How many distinct values can we represent with? a. 3 bits b. 4 bits c. 8 bits d. 32 bits (show every decimal digit of the number) e. 64 bits (show every decimal digit of the number) 4. Add the following unsigned binary numbers. a. 1110+111 b. 11011+11011 5. Convert each of the following twos complement to decimal. a. 101011 b. 010001 c. 011110 d. 101001 6. Convert the following decimal to eight-bit twos complement binary numbers. a. 13 b. 128 c. 29 d. 22 7. Add the following 5-bits two's complement binary numbers and also express the answer in decimal. Identify each case in which the answer is incorrect because of overflow. a. 00001+10011 b. 11111+01101 c. 10000+11000 d. 11111+11101 8. Consider the following addition problems. Please first convert each decimal number into eight-bit twos complement notation, perform the addition in twos complement notation, then convert the results back to decimal numbers. Identify each case in which the answer is incorrect because of overflow. a. 23+45 b. 23-45 c. 2445 d. 201+100