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If we decide to stay away from IEEE 754 format by making our Exponent field 10 bits wide and our Mantissa field 21 bits wide, then which of the following statement is TRUE?
- a)None of the above
- b)It will provide less precision as there will be fewer Mantissa bits
- c)It will provide more precision as there will be fewer Mantissa bits
- d)It will not change the precision
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If we decide to stay away from IEEE 754 format by making our Exponent ...
The Institute of Electrical and Electronics Engineers created the IEEE Standard for Floating-Point Arithmetic (IEEE 754) in 1985 as a technical standard for floating-point calculation (IEEE). The standard addressed several issues encountered in various floating-point implementations.
IEEE 754 has 3 basic components are Sign, exponent, and Mantissa.
Given that,
Exponent field =10 bits
Mantissa field = 21 bits
Sign= 1 bit (represents the positive number or negative number)
Bias=Excess=2n-1 where n is the number of bits in the Exponent.
To get Number = (-1)S x (1.M) x BE-Bias
Fewer mantissa bits mean less precision. The smallest change that can be represented in floating-point representation is called precision. In single precision, the mantissa is having 23 bits, and double-precision the mantissa is having 52 bits are required. Hence the less precision as there will be fewer Mantissa bits.
Hence the correct answer is It will provide less precision as there will be fewer Mantissa bits.
IEEE 754 has 3 basic components are Sign, exponent, and Mantissa.
Given that,
Exponent field =10 bits
Mantissa field = 21 bits
Sign= 1 bit (represents the positive number or negative number)
Bias=Excess=2n-1 where n is the number of bits in the Exponent.
To get Number = (-1)S x (1.M) x BE-Bias
Fewer mantissa bits mean less precision. The smallest change that can be represented in floating-point representation is called precision. In single precision, the mantissa is having 23 bits, and double-precision the mantissa is having 52 bits are required. Hence the less precision as there will be fewer Mantissa bits.
Hence the correct answer is It will provide less precision as there will be fewer Mantissa bits.
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If we decide to stay away from IEEE 754 format by making our Exponent ...
Answer:
Explanation:
In IEEE 754 format, the exponent field is typically 8 bits wide and the mantissa field is typically 23 bits wide. By deciding to stay away from the IEEE 754 format and making the exponent field 10 bits wide and the mantissa field 21 bits wide, the precision of the floating-point representation will be affected.
Reason:
The exponent field in IEEE 754 format determines the range of values that can be represented, while the mantissa field determines the precision or the number of significant digits that can be represented.
In the given scenario, increasing the width of the exponent field from 8 bits to 10 bits allows for a larger range of values to be represented. This means that the floating-point format can now represent larger or smaller numbers with a greater exponent range.
However, by decreasing the width of the mantissa field from 23 bits to 21 bits, the precision of the floating-point representation is reduced. This means that there will be fewer bits available to represent the significant digits of a number, resulting in a loss of precision.
Conclusion:
Therefore, the statement "It will provide less precision as there will be fewer Mantissa bits" is true. By increasing the exponent field width and decreasing the mantissa field width, the floating-point format will have a larger exponent range but less precision.
Explanation:
In IEEE 754 format, the exponent field is typically 8 bits wide and the mantissa field is typically 23 bits wide. By deciding to stay away from the IEEE 754 format and making the exponent field 10 bits wide and the mantissa field 21 bits wide, the precision of the floating-point representation will be affected.
Reason:
The exponent field in IEEE 754 format determines the range of values that can be represented, while the mantissa field determines the precision or the number of significant digits that can be represented.
In the given scenario, increasing the width of the exponent field from 8 bits to 10 bits allows for a larger range of values to be represented. This means that the floating-point format can now represent larger or smaller numbers with a greater exponent range.
However, by decreasing the width of the mantissa field from 23 bits to 21 bits, the precision of the floating-point representation is reduced. This means that there will be fewer bits available to represent the significant digits of a number, resulting in a loss of precision.
Conclusion:
Therefore, the statement "It will provide less precision as there will be fewer Mantissa bits" is true. By increasing the exponent field width and decreasing the mantissa field width, the floating-point format will have a larger exponent range but less precision.
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If we decide to stay away from IEEE 754 format by making our Exponent field 10 bits wide and our Mantissa field 21 bits wide, then which of the following statement is TRUE?a)None of the aboveb)It will provide less precision as there will be fewer Mantissa bitsc)It will provide more precision as there will be fewer Mantissa bitsd)It will not change the precisionCorrect answer is option 'B'. Can you explain this answer?
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If we decide to stay away from IEEE 754 format by making our Exponent field 10 bits wide and our Mantissa field 21 bits wide, then which of the following statement is TRUE?a)None of the aboveb)It will provide less precision as there will be fewer Mantissa bitsc)It will provide more precision as there will be fewer Mantissa bitsd)It will not change the precisionCorrect answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about If we decide to stay away from IEEE 754 format by making our Exponent field 10 bits wide and our Mantissa field 21 bits wide, then which of the following statement is TRUE?a)None of the aboveb)It will provide less precision as there will be fewer Mantissa bitsc)It will provide more precision as there will be fewer Mantissa bitsd)It will not change the precisionCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If we decide to stay away from IEEE 754 format by making our Exponent field 10 bits wide and our Mantissa field 21 bits wide, then which of the following statement is TRUE?a)None of the aboveb)It will provide less precision as there will be fewer Mantissa bitsc)It will provide more precision as there will be fewer Mantissa bitsd)It will not change the precisionCorrect answer is option 'B'. Can you explain this answer?.
If we decide to stay away from IEEE 754 format by making our Exponent field 10 bits wide and our Mantissa field 21 bits wide, then which of the following statement is TRUE?a)None of the aboveb)It will provide less precision as there will be fewer Mantissa bitsc)It will provide more precision as there will be fewer Mantissa bitsd)It will not change the precisionCorrect answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about If we decide to stay away from IEEE 754 format by making our Exponent field 10 bits wide and our Mantissa field 21 bits wide, then which of the following statement is TRUE?a)None of the aboveb)It will provide less precision as there will be fewer Mantissa bitsc)It will provide more precision as there will be fewer Mantissa bitsd)It will not change the precisionCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If we decide to stay away from IEEE 754 format by making our Exponent field 10 bits wide and our Mantissa field 21 bits wide, then which of the following statement is TRUE?a)None of the aboveb)It will provide less precision as there will be fewer Mantissa bitsc)It will provide more precision as there will be fewer Mantissa bitsd)It will not change the precisionCorrect answer is option 'B'. Can you explain this answer?.
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