MGMT 1030 Lecture Notes - Lecture 38: Radix
6 May 2018
School
Department
Course
Professor
MGMT 1030 Lecture 38 Notes – Rules for Complementary Numbers
Introduction
• You can use calculation in octal or hexadecimal as shorthand for binary.
• As an example, consider four-digit hexadecimal as a substitute for 16-bit binary.
• The range will be split down the middle, so that numbers starting with 0–716 are
positive and those starting with 8–F are negative.
• But note that hex numbers starting with 8–F all have a binary equivalent with 1 in the
leftmost place, whereas 0–7 all start with 0.
• Therefore, they conform exactly to the split in 16-bit binary.
• You can carry the rest of the discussion by yourself, determining how to take the
complement, and how to add, from the foregoing discussions.
• There are practice examples at the end of the chapter.
• Finally, note that since binary-coded decimal is essentially a base 10 form
• The use of complementary representation for BCD would require algorithms that
aalyze the first digit to deterie the sig ad the perfor 9s or s opleet
procedures.
• Since the purpose of BCD representation is usually to simplify the conversion process
• It is generally not practical to use complementary representation for signed integers in
BCD.
• The following points summarize the rules for the representation and manipulation of
complementary numbers
• Both radix and diminished radix, in any even number base.
• For ost purposes you will e iterested oly i s opleet ad 6s opleet
• ‘eeer that the word opleet is used i two differet ways.
• To complement a number, or take the complement of a number, means to change its
sign.
• To find the complementary representation of a number means to translate or identify
the representation of the number just as it is given.
find more resources at oneclass.com
find more resources at oneclass.com
