a) How do modern computers represent negative numbers (not floating points)? Why do modern computers use this technique of representation?

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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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a) How do modern computers represent negative numbers (not floating points)? Why do modern
computers use this technique of representation?
b) Using 8 bits show how -61 is represented. Show your work and represent the result in hex as well.
c) If the number is a floating point number and the architecture used is 1 bit sign, 7 bits of exponent
and 8 bits of fraction, how is the number -1.75 represented in hex? -- show your work.
d) What is the range of de-normalized values in the architecture given in part-c? Show your work and
represent the values in decimal.
Transcribed Image Text:a) How do modern computers represent negative numbers (not floating points)? Why do modern computers use this technique of representation? b) Using 8 bits show how -61 is represented. Show your work and represent the result in hex as well. c) If the number is a floating point number and the architecture used is 1 bit sign, 7 bits of exponent and 8 bits of fraction, how is the number -1.75 represented in hex? -- show your work. d) What is the range of de-normalized values in the architecture given in part-c? Show your work and represent the values in decimal.
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