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Most base-10 numbers cannot be represented exactly in binary floating-point format A base-10 number that is NOT given to you is represented in a binary
Most base-10 numbers cannot be represented exactly in binary floating-point format A base-10 number that is NOT given to you is represented in a binary floating- point number in a 12-bit format. Assume chopping is used to round-off the number. The 1st bit is used for the sign of the number; the 2nd bit is used for the sign of the exponent; 3 bits are used for the magnitude of mantissa, and the rest of the bits are used for the magnitude of the exponent. The lowest possible percentage absolute relative true error in the representation is, of course, zero. What is the highest possible percentage absolute relative true error in the representation? Give your answer in base-10 equivalent in decimal format. Caution: The answer is to be submitted is a percentage, and enter your answer in decimal format. For example, if your answer is 2.5%, enter 2.5. Most base-10 numbers cannot be represented exactly in binary floating-point format A base-10 number that is NOT given to you is represented in a binary floating- point number in a 12-bit format. Assume chopping is used to round-off the number. The 1st bit is used for the sign of the number; the 2nd bit is used for the sign of the exponent; 3 bits are used for the magnitude of mantissa, and the rest of the bits are used for the magnitude of the exponent. The lowest possible percentage absolute relative true error in the representation is, of course, zero. What is the highest possible percentage absolute relative true error in the representation? Give your answer in base-10 equivalent in decimal format. Caution: The answer is to be submitted is a percentage, and enter your answer in decimal format. For example, if your answer is 2.5%, enter 2.5
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