Consider the two (decimal) numbers 3.14159 and 128.7342001. a. Give the single- precision IEEE floating-point representation that is closest to each number; present the answer as a 32-bit hexadecimal number. (You may want to write some code to get the answer.) b. Give the single-precision IEEE floating point representation of the sum of the two numbers, according to the IEEE definition of addition. c. Give the single precision IEEE floating point representation that would be given as the product of the two numbers in your answer to part (a), according to the IEEE definition of multiplica- tion.

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B4
Consider the two (decimal) numbers 3.14159 and 128.7342001.
a. Give the single-precision IEEE floating-point representation that is closest to each number;
present the answer as a 32-bit hexadecimal number. (You may want to write some code to get
the answer.)
b. Give the single precision IEEE floating point representation of the sum of the two mumbers,
according to the IEEE definition of addition.
c. Give the single- precision IEEE floating-point representation that would be given as the product
of the two mumbers in your answer to part (a), according to the IEEE definition of multiplica-
tion.
Transcribed Image Text:Consider the two (decimal) numbers 3.14159 and 128.7342001. a. Give the single-precision IEEE floating-point representation that is closest to each number; present the answer as a 32-bit hexadecimal number. (You may want to write some code to get the answer.) b. Give the single precision IEEE floating point representation of the sum of the two mumbers, according to the IEEE definition of addition. c. Give the single- precision IEEE floating-point representation that would be given as the product of the two mumbers in your answer to part (a), according to the IEEE definition of multiplica- tion.
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