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What is the range of the exponent E in IEEE 754 Double Precision (Binary64) format?
- a)-1022 ≤ E ≤ 1022
- b)-1023 ≤ E ≤ 1023
- c)-1023 ≤ E ≤ 1022
- d)-1022 ≤ E ≤ 1023
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
What is the range of the exponent E in IEEE 754 Double Precision (Bina...
To find the range of the exponent E in IEEE 754 Double Precision (Binary64) format, we need to consider the bias and the number of bits used to represent the exponent.
In IEEE 754 Double Precision format, the exponent E is represented using 11 bits. The bias for the exponent is 1023.
The range of the exponent E can be calculated as follows:
Minimum exponent = 1 - bias = 1 - 1023 = -1022
Maximum exponent = (2^11) - 1 - bias = 2047 - 1023 = 1024
Therefore, the range of the exponent E in IEEE 754 Double Precision format is -1022 to 1024.
In IEEE 754 Double Precision format, the exponent E is represented using 11 bits. The bias for the exponent is 1023.
The range of the exponent E can be calculated as follows:
Minimum exponent = 1 - bias = 1 - 1023 = -1022
Maximum exponent = (2^11) - 1 - bias = 2047 - 1023 = 1024
Therefore, the range of the exponent E in IEEE 754 Double Precision format is -1022 to 1024.
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What is the range of the exponent E in IEEE 754 Double Precision (Bina...
According to the IEEE Std 754-2008 standard, the exponent field width of the binary 64 double-precision floating-point formats is 11 bits, which is compensated by an exponent bias of 1023. The standard also specifies that the maximum exponent is 1023, and the minimum is -1022.
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What is the range of the exponent E in IEEE 754 Double Precision (Binary64) format?a)-1022 ≤ E ≤ 1022b)-1023 ≤ E ≤ 1023c)-1023 ≤ E ≤ 1022d)-1022 ≤ E ≤ 1023Correct answer is option 'D'. Can you explain this answer?
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