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a. [10 pts] Convert 12.8125 into single precision floating point Binary representation using IEEE 754 standard. Write your answer in both Binary and Hex formats. Show your work for partial credit. Show transcribed image text a. [10 pts] Convert 12.8125 into single precision floating point Binary representation using IEEE 754 standard. Write your answer in both Binary and Hex formats. Show your work for partial credit.
Expert Answer
12.8125 in simple binary => 1100.1101so, 12.8125 in normal binary is 1100.1101 => 1.1001101 * 2^3single precision:——————–sign bit is 0(+ve)exp bits are (127+3=130) => 10000010frac bits are 10011010000000000000000so, 12.8125 in single-precision format is 0 10000010 10011010000000000000000in hexadecimal it is 0x414D0000
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