Below are some lists of integers, labelled A to E: A: [18, 15, 13, 17, 12, 14, 16, 11] B: [28, 25, 26, 27, 22, 23, 24, 21] C: [31, 32, 33, 37, 35, 34, 36, 38] D: [43, 45, 48, 47, 42, 44, 46, 41] E: [51, 55, 53, 54, 52, 56, 57, 58] Which of these lists are in a state that is possible after 3 passes of the SELECTION SORT algorithm?  For each possible list, give the letter of the list.  State all that apply.

H - For the IEEE 754 single-precision floating point, write the hexadecimal representation for the following decimal values: (i)–1.0 (ii)– 0.0 (iii)256.015625

1): The prime factorization of 198 is  198 = 2 · 32 · 11 A): 2 · 3.3· 11 B): 2.33.3 C): 1.198 D): 18.11   2): Some numbers and their prime factorizations are given below. 140 = 22 5 · 7 175 = 52 7 532 = 22 7 · 19 648 = 23 34 1078 = 2 · 72 11 1083 = 3 · 192 15435 = 32 5 · 73 1078 = 2 · 72 11 25480 = 23 5 · 72·13 Using these prime factorizations the  gcd(532, 15435) = A): 7 B): 52 C): 97 D): 77   3): Applying the Euclidean Algorithm and the Extended Euclidean Algorithm.  the gcd(81,60) , and expression of the gcd as a linear combination of the two numbers =  A): gcd=3, combination = 3.81-4.60 B): gcd=3, combination = 21-18 C): gcd=12, combination = 81-69 D): gcd=9, combinaton = 81-60-12   4): using arithmetic in the ring of integers mod 9, 5×8inZ9= A): 4 B): 36 C): 2 D): 0

7. Find the decimal representation of the following number in IEEE754 format. 01001111111111000000000000000000

In fixed-sized numbers with 10 digits for binary, please write the results by Two's complement.

Perform the following base conversions:1. a) 21200 = _________102. b) 3244 = _________103. c) 3402 = _________104. d) 7657 = _________10

Express the following decimal numbers in binary, octal, and hexadecimal forms.   (313.0625)10 FIND N2, N8,N16 Do not add any extra 0 after the last significant non-zero digit.

Answer the following questions on floating-point representation: a) Convert AD510010 16 to an IEEE single-precision floating-point number b) Convert the following IEEE single-precision floating-point number to a decimal number: 10111111110100000000000000000000