Lecture 7 - Webstaff.kmutt.ac.th - kmutt
Lecture 7 - Webstaff.kmutt.ac.th - kmutt
Lecture 7 - Webstaff.kmutt.ac.th - kmutt
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SummarySigned Binary NumbersNegative numbers are written as <strong>th</strong>e 2’s complement of <strong>th</strong>e corresponding positive number.The negative number −58 is written as:−58 = 11000110 (complement form)Sign bitMagnitude bitsAn easy way to read a signed number <strong>th</strong>at uses <strong>th</strong>is notation is toassign <strong>th</strong>e sign bit a column weight of −128 (for an 8-bit number).Then add <strong>th</strong>e column weights for <strong>th</strong>e 1’s.Assuming <strong>th</strong>at <strong>th</strong>e sign bit = −128, show <strong>th</strong>at 11000110 = −58as a 2’s complement signed number:Column weights: −128 64 32 16 8 4 2 1.1 1 0 0 0 1 1 0−128 +64 +4 +2 = −58Floyd, Digital Fundamentals, 10 <strong>th</strong> ed© 2009 Pearson Education, Upper Saddle River, NJ 07458. All Rights Reserved
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