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The following is a scheme for floating point number representation using 16 bits
Let s, e, and m be the numbers represented in binary in the sign, exponent, and mantissa fields respectively. Then the floating point number represented is:
What is the maximum difference between two successive real numbers representable in this system? 
  • a)
    2-40
  • b)
    2-9
  • c)
    222
  • d)
    231
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The following is a scheme for floating point number representation usi...
Maximum difference between two successive real number will occur at extremes. This is because numbers are represented upto mantissa bits and as the exponent grows larger, the difference gets multiplied by a larger value. (The minimum difference happens for the least positive exponent value).
Biasing will be done by adding 31 as given in question. So, actual value of exponent will be represented value - 31. Also, we can not have exponent field as all 1's as given in question (usually taken for representing infinity, NAN etc). So, largest value that can be stored is 111110 = 62.
Largest number will be
Second largest number will be 
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The following is a scheme for floating point number representation using 16 bitsLet s, e, and m be the numbers represented in binary in the sign, exponent, and mantissa fields respectively. Then the floating point number represented is:What is the maximum difference between two successive real numbers representable in this system?a)2-40b)2-9c)222d)231Correct answer is option 'C'. Can you explain this answer?
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The following is a scheme for floating point number representation using 16 bitsLet s, e, and m be the numbers represented in binary in the sign, exponent, and mantissa fields respectively. Then the floating point number represented is:What is the maximum difference between two successive real numbers representable in this system?a)2-40b)2-9c)222d)231Correct answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about The following is a scheme for floating point number representation using 16 bitsLet s, e, and m be the numbers represented in binary in the sign, exponent, and mantissa fields respectively. Then the floating point number represented is:What is the maximum difference between two successive real numbers representable in this system?a)2-40b)2-9c)222d)231Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following is a scheme for floating point number representation using 16 bitsLet s, e, and m be the numbers represented in binary in the sign, exponent, and mantissa fields respectively. Then the floating point number represented is:What is the maximum difference between two successive real numbers representable in this system?a)2-40b)2-9c)222d)231Correct answer is option 'C'. Can you explain this answer?.
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