Table of Contents
Numbers and number systems
Radix number systems
Start with whole numbers
Decimal, binary, octal, hex
Converting
Include fractions
Negatives
Ways to represent negatives
2’s complement
Does this work?
Excess something
Binary arithmetic - addition
Binary arithmetic - multiplication
Fractions
Overflow and Underflow
How to represent fractional values in binary
Floating point notation
Refinement
IEEE Standard 754
Steps to IEEE format
Single and double precision
IEEE 754 details
What’s normal?
Denormalization
Representing Zero
Infinity
NaN (Not a Number)
IEEE numerical types summary
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Author: Lillian N. Cassel
Email: cassel@acm.org
Home Page: http://lcassel.csc.villanova.edu
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