Homework 6.doc

# Homework 6.doc - [IFT 201 Computer and Network Systems...

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[IFT 201] Computer and Network Systems: Organization and Administration H OMEWORK A SSIGNMENT 6 Show all your work . Score: 50 pts Assigned exercises are from the provided hand-out, pp. 44 – 47 5pts * 10 A. Exercise 10. a. 10111.1101 1 x 2 4 + 0 x 2 3 + 1 x 2 2 + 1 x 2 1 + 1 x 2 0 + 1 x 2 -1 + 1 x 2 -2 + 0 x 2 -3 + 1 x 2 -4 16 + 0 + 4 + 2 + 1 + .50 + .25 + 0 + .0625 = 23.8125 b. 100011.10011 1 x 2 5 + 0 x 2 4 + 0 x 2 3 + 0 x 2 2 + 1 x 2 1 + 1 x 2 0 + 1 x 2 -1 + 0 x 2 -2 + 0 x 2 -3 + 1 x 2 -4 + 1 X 2 -5 = 32 + 0 + 0 + 0 + 2 + 1 + .50 + 0 + 0 + .0625 + .03125 = 35.59375 c. 1010011.10001 1 x 2 6 + 0 x 2 5 + 1 x 2 4 + 0 x 2 3 + 0 x 2 2 + 1 x 2 1 + 1 x 2 0 + 1 x 2 -1 + 0 x 2 -2 + 0 x 2 -3 + 0 x 2 -4 + 1 x 2 -5 = 64 + 0 + 16 + 0 + 0 + 2 + 1 + .50 + 0 + 0 + 0 + .03125 = 83.53125 d. 11000010.111 1 x 2 7 + 1 x 2 6 + 0 x 2 5 + 0 x 2 4 + 0 x 2 3 + 0 x 2 2 + 1 x 2 1 + 0 x 2 0 + 1 x 2 -1 + 1 x 2 -2 + 1 x 2 -3 = 128 + 64 + 0 + 0 + 0 + 0 + 2 + 0 + .50 + .25 + .125 = 194.875 B. Exercise 13. Convert the hexadecimal number AC12 16 to binary A C 1 2 1010 1100 0001 0010 AC12 16 = 1010110000010010 2 C. Exercise 16: Represent the following decimal numbers in binary using 8-bit two’s complement: c) 77 Subtraction Powers of Two Binary 77 – 64 = 13 2 6 1 - 2 5 0 - 2 4 0 13 – 8 = 5 2 3 1 5 – 4 = 1 2 2 1 - 2 1 0 Page | 1

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