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5
Example Floating Point Format • Smallest number is 1/8 • Largest number is 7/4 • Smallest gap is 1/32 • Largest gap is 1/4 • Number of expressible numbers is 33.
Transcript of Æ u o & o } ] v P W } ] v & } u
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Example Floating Point Format
• Smallest number is 1/8
• Largest number is 7/4
• Smallest gap is 1/32
• Largest gap is 1/4
• Number of expressible numbers is 33.
![Page 2: Æ u o & o } ] v P W } ] v & } u](https://reader031.fdocuments.us/reader031/viewer/2022012408/616a3d7b11a7b741a35056b9/html5/thumbnails/2.jpg)
IEEE-754 Floating Point Formats
Five types of the IEEE floating point numbers1. Nonzero normalized numbers, with “hidden 1”2. Clean zero (+0, -0): 0…0 0…03. Infinite (+, - ): 1…1 0…04. NaN (Not a Number): 1…1 Nonzero5. Denormalized number: 0…0 Nonzero (2-128=.01x2-126)
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ASCII Character Code• ASCII is a 7-bit code,
commonly stored in 8-bit bytes.
• “A” is at 4116. To convert upper case letters to lower case letters, add 2016. Thus “a” is at 4116 + 2016 = 6116.
• The character “5” at position 3516 is different than the number 5. To convert character-numbers into number-numbers, subtract 3016: 3516 - 3016 = 5.
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• EBCDIC is an 8-bit code.
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Unicode Character Code
• Unicode is a 16-bit code.
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