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Homework03-sol

# Homework03-sol - 4:23 PM Homework#03(Solution Binary...

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2/7/03 4:23 PM ECSE-2660 Computer Architecture, Networks, & Operating Systems, Spring 2003 Page 1 of 3 Homework #03 (Solution) Binary arithmetic and floating-point representation 1a. (4 points) What is the smallest and largest unsigned numbers that can be represented using 16-bits? 0 and 65,535 Grading: 2pts for each correct number, 1pt for trying. 1b. (4 points) What is the largest unsigned number that can be represented using n bits? 2 n -1 Grading: 4pts for correct, 2pts for trying. 1c. (4 points) How many unsigned numbers can you represent using n bits? 2 n Grading: 4pts for correct, 2pts for trying. 2a. (4 points) What is the smallest 16-bit signed integer in hexadecimal form? 0x8000 Grading: 4pts for correct, 1pt for trying. 2b. (4 points) What is the largest 16-bit signed integer in hexadecimal form? 0x7FFF Grading: 4pts for correct, 1pt for trying. 2c. (4 points) Negate the signed 8-bit number represented by 0x8E. Flip all bits and add 1 0x8e= 1000 1110 flip = 0111 0001 add 1 = 0111 0010 =0x72 Grading: 4pts for correct, 1pt for trying.

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