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What is the range of the exponent E in IEEE 754 Double Precision (Binary64) format?

What is the range of the exponent E in IEEE 754 Double Precision (Binary64) format? Correct Answer -1022 ≤  E ≤ 1023

Option 4) -1022 ≤  E ≤ 1023 is the correct answer.

Explanation:- 

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.

Important Points 

  • In IEEE 754 floating-point numbers, the exponent is biased in the engineering sense of the word - the value stored is offset from the actual value by the exponent bias, also called a biased exponent.
  • Double precision may be chosen when the range or precision of single-precision would be insufficient.
  • Double-precision floating-point format is a computer number format usually occupying 64 bits in computer memory.
  • It represents a wide dynamic range of numeric values by using a floating radix point. 

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