Some microcomputers in the past used a binary floating-point format with 8 bits for the exponent e and 1 bit for the sign o. The significand x contained 31 bits, 1 ≤ x<2, with no hiding of the leading bit 1. The arithmetic also used rounding. To determine the accuracy of the representation, find the machine epsilon and the number of M. Also find bounds for the number €.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Some microcomputers in the past used a binary floating-point format with 8 bits for the
exponent e and1 bit for the sign ơ. The significand x contained 31 bits, 1<x< 2, with
no hiding of the leading bit 1. The arithmetic also used rounding. To determine the
accuracy of the representation, find the machine epsilon and the number of M. Also find
bounds for the number e.
Transcribed Image Text:Some microcomputers in the past used a binary floating-point format with 8 bits for the exponent e and1 bit for the sign ơ. The significand x contained 31 bits, 1<x< 2, with no hiding of the leading bit 1. The arithmetic also used rounding. To determine the accuracy of the representation, find the machine epsilon and the number of M. Also find bounds for the number e.
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