20. Suppose we have just found yet another representation for floating point numbers. Using this representation, a 12-bit floating point number has 1 bit for the sign of the number, 4 bits for the exponent and 7 bits for the mantissa, which is normalized as in the Simple Model so that the first digit to the right of the radix points must be a 1. Numbers in the exponent are in signed 2's complement representation. No bias is used and there are no implied bits. Show the representation for the smallest positive number this machine can represent using the following format (simply fill in the squares provided). What decimal number does this equate to?

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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20. Suppose we have just found yet another representation for floating point numbers. Using this
representation, a 12-bit floating point number has 1 bit for the sign of the number, 4 bits for
the exponent and 7 bits for the mantissa, which is normalized as in the Simple Model so that
the first digit to the right of the radix points must be a 1. Numbers in the exponent are in signed
2's complement representation. No bias is used and there are no implied bits. Show the
representation for the smallest positive number this machine can represent using the following
format (simply fill in the squares provided). What decimal number does this equate to?

 

SIGN
EXPONENT
MANTISSA
Transcribed Image Text:SIGN EXPONENT MANTISSA
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