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.

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
Problem 4P
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL