In the IEEE floating point representation the hexadecimal value 0x0000...
An exponent of 0 together with a fraction of 0 with positive sign represents +0 which is a special value.
View all questions of this test
In the IEEE floating point representation the hexadecimal value 0x0000...
Hexadecimal Representation
The hexadecimal value 0x00000000 represents a 32-bit floating point number in the IEEE floating point representation. IEEE floating point representation is a standardized method used to represent real numbers on computers.
Understanding IEEE Floating Point Representation
IEEE floating point representation consists of three components: sign bit, exponent, and mantissa. The sign bit determines whether the number is positive or negative. The exponent represents the power of 2, and the mantissa represents the fractional part of the number.
Normalized Value
In IEEE floating point representation, a normalized value is represented in the form of ±1.xxxxxx * 2^e, where ±1.xxxxxx is the mantissa and e is the exponent. The normalized value indicates that the most significant bit of the mantissa is always 1.
Determining the Normalized Value
To determine the normalized value of a hexadecimal representation, we need to convert it into binary and then split it into the sign bit, exponent, and mantissa.
0x00000000 in binary is 00000000 00000000 00000000 00000000.
Sign Bit: The leftmost bit represents the sign. In this case, it is 0, indicating a positive number.
Exponent: The next 8 bits represent the exponent. In this case, all bits are 0, indicating a bias of -127.
Mantissa: The remaining 23 bits represent the mantissa. In this case, all bits are 0.
Interpreting the Normalized Value
Since all bits of the exponent and mantissa are 0, the normalized value can be represented as ±1.0 * 2^-127. This means that the number is extremely small and close to 0.
Special Value 0
In IEEE floating point representation, the special value 0 is represented when all bits are 0, including the sign bit, exponent, and mantissa. In this case, 0x00000000 represents the special value 0.
Correct Answer
Therefore, the correct answer is option D - The special value 0.
To make sure you are not studying endlessly, EduRev has designed Computer Science Engineering (CSE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Computer Science Engineering (CSE).