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ExamsGATEEngineering Mathematics

The format of a single-precision floating-point number as per the IEEE 754 standard is: Choose the largest floating-point number among the following options.

  1. 0 01111111 1111 1111 1111 1111 1111 111
  2. 0 11111110 1111 1111 1111 1111 1111 111
  3. 0 11111111 1111 1111 1111 1111 1111 111
  4. 0 01111111 0000 0000 0000 0000 0000 000

Correct answer: 0 11111110 1111 1111 1111 1111 1111 111

Solution

The correct option represents a normalized floating-point number with an exponent of 126, which is the highest value among the choices given, allowing it to represent the largest magnitude.

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