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A machine stores a floating point number in 7 bits. The first bit is for the sign of the number, the second bit is for the sign of the exponent, the next 2 bits are for the magnitude of exponent, and the final 3 bits are for the magnitude of mantissa. What is smallest positive number that can be represented? Enter your answer in the base-10 equivalent as a decimal number.

A machine stores a floating point number in 7 bits. The first bit is for the sign of the number, the second bit is for the sign of the exponent, the next 2 bits are for the magnitude of exponent, and the final 3 bits are for the magnitude of mantissa. What is 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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A machine stores a floating point number in 7 bits. The first bit is for the sign of the number, the second bit is for the sign of the exponent, the next 2 bits are for the magnitude of exponent, and the final 3 bits are for the magnitude of mantissa. What is smallest positive number that can be represented? Enter your answer in the base-10 equivalent as a decimal number.
Transcribed Image Text:A machine stores a floating point number in 7 bits. The first bit is for the sign of the number, the second bit is for the sign of the exponent, the next 2 bits are for the magnitude of exponent, and the final 3 bits are for the magnitude of mantissa. What is smallest positive number that can be represented? Enter your answer in the base-10 equivalent as a decimal number.
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