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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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