Floating-Point Representation
- Very large numbers cannot be represented using fixed-point notation, nor can very small fractions.
- For decimal numbers, we get around this limitation by using scientific notation.
Example:
976000000000 can be represented as 9.76 × 1011.
0.00000000000976 can be represented as 9.76 × 10–12.
- This same approach can be taken with binary numbers. We can represent a number in the form M × B±E
where, M is mantissa, E is exponent
- In order to simply operations, floating point numbers are normalized. A normalized number is one in which the most significant digit of mantissa is 1. Thus, a normalized non zero number is on in the form ± 1.bbb …. b × 2±E.
<< Previous | Next >>
Must Read: What is Computer Organization and Architecture?
Dear Aspirants,
Your preparation for GATE, ESE, PSUs, and AE/JE is now smarter than ever — thanks to the MADE EASY YouTube channel.
This is not just a channel, but a complete strategy for success, where you get toppers strategies, PYQ–GTQ discussions, current affairs updates, and important job-related information, all delivered by the country’s best teachers and industry experts.
If you also want to stay one step ahead in the race to success, subscribe to MADE EASY on YouTube and stay connected with us on social media.
MADE EASY — where preparation happens with confidence.
MADE EASY is a well-organized institute, complete in all aspects, and provides quality guidance for both written and personality tests. MADE EASY has produced top-ranked students in ESE, GATE, and various public sector exams. The publishing team regularly writes exam-related blogs based on conversations with the faculty, helping students prepare effectively for their exams.
