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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This note was uploaded on 09/07/2010 for the course FEA eece320 taught by Professor Unknown during the Spring '10 term at American University of Beirut.
 Spring '10
 unknown

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