A floating point binary number is represented in 7 bits as follows: 1st bit is used for the sign of the number; the 2nd bit is used for sign of the exponent; 3 bits are used for the magnitude of mantissa, and the rest of the bits are used for the magnitude of exponent. What is the smallest positive number that can be represented? Enter your answer in the base-10 equivalent as a decimal number.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.4: Subtracting Real Numbers
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Question 1
A floating point binary number is represented in 7 bits as follows: 1st bit is used for the
sign of the number; the 2nd bit is used for sign of the exponent; 3 bits are used for the
magnitude of mantissa, and the rest of the bits are used for the magnitude of
exponent. What is the smallest positive number that can be represented? Enter your
answer in the base-10 equivalent as a decimal number.
Transcribed Image Text:Question 1 A floating point binary number is represented in 7 bits as follows: 1st bit is used for the sign of the number; the 2nd bit is used for sign of the exponent; 3 bits are used for the magnitude of mantissa, and the rest of the bits are used for the magnitude of exponent. What is the smallest positive number that can be represented? Enter your answer in the base-10 equivalent as a decimal number.
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