MGMT 1030 Chapter 15: MGMT 1030 Chapter 15 Notes
6 May 2018
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MGMT 1030 Chapter 15 Notes – Summary
Introduction
Conversion between Base 10 and Base 2
• The IEEE stadard also allos the alues ±∞, er sall de-normalized numbers, and
various other special conditions.
• Overall, the standard allows approximately seven significant decimal digits and an
approiate alue rage of − to 8.
• The double-precision floating point format standard works similarly.
• Sixty-four bits (8 bytes) are divided into a sign, 11 bits of exponent, and 52 bits of
mantissa.
• The same format is used, with excess-1023 notation for the exponent, an implied base
of 2, and an implied most significant bit to the left of the implied binary point.
• The double-precision standard supports approximately fifteen significant decimal digits
ad a rage of ore tha − to !
• The values defined for all possible 32-bit words are shown
• The 64-bit table is similar, except for the limiting exponent of 2047, which results in an
excess 1023 offset.
• On occasion, you may find it useful to be able to convert real numbers between decimal
and binary representation.
• This task must be done carefully.
• There are two major areas that sometimes cause students (and others!) difficulty
• The whole and fractional parts of numbers with an embedded decimal or binary point
must be converted separately.
• Numbers in exponential form must be reduced to a pure decimal or binary mixed
number
• Fraction before the conversion can be performed.
• We dealt with the first issue
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