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Convert -5.75 to binary, represent it with 32 bits in IEEE 754 single precision format Problem 2 Convert -5.75 to binary, represent it with 32 bits in IEEE 754 single precision format

User Jochil
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Final answer:

To convert -5.75 to binary in IEEE 754 single precision format, follow these steps: 1. Convert the absolute value to binary. 2. Add the sign bit. 3. Adjust the binary representation to 32-bit format.

Step-by-step explanation:

To convert -5.75 to binary in IEEE 754 single precision format, we need to follow these steps:



  1. Convert the absolute value of the number to binary.
  2. Add the sign bit to represent the number as negative.
  3. Adjust the binary representation to match the 32-bit format.



Example: -5.75 in binary would be represented as 11000000101100000000000000000000 in 32-bit IEEE 754 single precision format. The first bit represents the sign, so 1 indicates a negative number. The remaining bits represent the magnitude of the number using scientific notation.

User James Kuang
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