ISRO Computer Science (CSE) 2014 - Question 8

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In the standard IEEE 754 single precision floating point representation, there is 1 bit for sign, 23 bits for fraction and 8 bits for exponent. What is the precision in terms of the number of decimal digits?

  • A. 5
  • B. 6
  • C. 7
  • D. 8

Answer: C. 7

Explanation: Precision is approximately $\log_{10}(2^{24}) \approx 24 \times 0.301 \approx 7.22$. So, about 7 decimal digits.

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