4834_lecture_18_ho

# 4834_lecture_18_ho - EEL 4834 Lecture 18 EEL 4834 Lecture...

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Unformatted text preview: EEL 4834: Lecture 18 EEL 4834: Lecture 18 Binary Serialization Professor O. Boykin University of Florida, Department of Electrical and Computer Engineering October 8, 2009 EEL 4834: Lecture 18 Outline 1 Integers 2 Serializing Integers EEL 4834: Lecture 18 Integers Binary Representation of Integers A number can be expanded in base b using: N = X i n i b i where n i ∈ (0 , b- 1). Examples: 54 = 5 × 10 1 + 4 × 10 = 2 × 3 3 + 0 × 3 2 + 0 × 3 1 + 0 × 3 = 2000 base 3 = 1 × 2 5 + 1 × 2 4 + 0 × 2 3 + 1 × 2 2 + 1 × 2 1 + 0 × 2 = 110110 base 2 EEL 4834: Lecture 18 Integers Code to do base conversions The following code returns an array with the digits for the number n in base base: def base convert(n, base, result = None): (nd, nr) = divmod(n, base) #nd is n // base, nr = n % base if not result: result = result.insert(0, nr) if nd == 0: return result else: return base convert(nd, base, result) EEL 4834: Lecture 18 Integers Representing negative integers: Two’s Compliment A negative number x with | x | < 2 n- 1 is represented as an...
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4834_lecture_18_ho - EEL 4834 Lecture 18 EEL 4834 Lecture...

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