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2answers
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Implications of truncation of numbers when converted into binary
I have been posed with a question whereby a computer truncates numbers to x number of digits. Due to this, if this computer is trying to store a decimal number which has a binary equivalent greater ...
3
votes
1answer
91 views
Normalizing the mantissa in floating point representation
How to represent $0.148 * 2^{14}$ in normalized floating point arithmetic with the format
1 - Sign bit
7 - Exponent in Excess-64 form
8 - Mantissa
$(0.148)_{10} ...
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1answer
100 views
In a 32-bit floating number with normalized mantissa and excess-64 exponent base 16, the number $16^{-65}$ denotes
In a 32-bit floating number with normalized mantissa and excess-64 exponent base 16, the number $16^{-65}$ denotes
Floating point overflow.
Negative floating point overflow.
All 0's in the exponent ...
1
vote
1answer
123 views
Calculating Binet's formula for Fibonacci numbers with arbitrary precision
Binet's formula for the nth Fibonacci numbers is remarkable because the equation "converts" via a few arithmetic operations an irrational number $\phi$ into an integer sequence. However, using finite ...
5
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3answers
321 views
Why floating point representation uses a sign bit instead of 2's complement to indicate negative numbers
Consider a fixed point representation which can be regarded as a degenerate case of a floating number. It is entirely possible to use 2's complement for negative numbers. But why is a sign bit ...
11
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1answer
158 views
Floating point rounding
Can an IEEE-754 floating point number < 1 (i.e. generated with a random number generator which generates a number >= 0.0 and < 1.0) ever be multiplied by some integer (in floating point form) to ...
