11117650 - Kashaf Syed Iqbal - Assignment 2

11117650 - Kashaf Syed Iqbal - Assignment 2 - Name Kashaf...

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Name: Kashaf Syed Iqbal Student No: 11117650 Class: CMPT 100.01 Tutor: Nadeem Jamali Assignment 2 Assignment 2. Due: October 14, 2016. Submission on paper at beginning of class. Must receive instructor's approval in advance if an alternative time and method of submission becomes necessary. Solve each of the following problems. To receive full marks, you must show your work. In any problem, marks for the sub-problems are equally distributed unless stated otherwise. 1. (20 Marks) Represent the following decimal numbers in 8-bit 2's complement notation. Indicate if the number cannot be represented using 8-bit 2's complement notation. a) -5 b) 9 c) -64 d) 120 e) -220 Answer: a. -5 5/2 = 2 Remainder 1 ; 2/2 = 1 Remainder 0 ; 1/2 = 0 Remainder 1 Therefore, 8-bit representation of 5 is 00000101 Therefore 2’s complement is 11111010 + 1 11111010 + 1 Starting from the right 1 + 0 = 1 no carry 1011111 Therefore, the answer is 11111011 b. 9 9/2 = 4 Remainder 1 ; 4/2 = 2 Remainder 0 ; 2/2 = 1 Remainder 0 ; 1/2 = 0 Remainder 1 Therefore, 8-bit representation of 9 is 00001001 c. -64 64/2 = 32 Remainder 0 ; 32/2 = 16 Remainder 0 ; 16/2 = 8 Remainder 0 ; 8/2 = 4 Remainder 0 ; 4/2 = 2 Remainder 0 ; 2/2 = 1 Remainder 0 ; 1/2 = 0 Remainder 1 Therefore, 8-bit representation of 64 is 01000000 Therefore, 2’s complement is 10111111 + 1 10111111 + 1 Starting from the right 1
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Name: Kashaf Syed Iqbal Student No: 11117650 Class: CMPT 100.01 Tutor: Nadeem Jamali Assignment 2 1 + 1 = 0 carry 1 1 + 1 = 0 carry 1 1 + 1 = 0 carry 1 1 + 1 = 0 carry 1 1 + 1 = 0 carry 1
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  • Fall '16
  • Nadeem Jamali
  • Numerical digit, Decimal, Numeral system, Kashaf Syed Iqbal Student

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