Prof. M. Mansour American University of Beirut Department of Electrical and Computer Engineering EECE 320 – Digital Systems Design Homework 1 (Due Friday July 3 in class) Problem 1 [10 pts] : List the octal and hexadecimal numbers from 16 to 32. Using A and B for the last two digits, list the numbers from 10 to 26 in base 12. Problem 2 [10 pts] : What is the largest binary number that can be expressed with 13 bits? What is the equivalent decimal and hexadecimal? What is the largest binary number that can be expressed with n bits? Problem 3 [10 pts] : Convert the following numbers with the indicated base to decimal: 4310 (5) , 198 (12) . Problem 4 [10 pts] : Determine the base of the numbers in each case for the following operations to be correct: (a) 14/2 = 5; (b) 54/4 = 13; (c) 24 + 17 = 40. Problem 5 [10 pts] : The solution to the quadratic equation x 2-11 x +22 = 0 is x = 3 and x = 6. What is the base of the numbers? Problem 6
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