For the real number 1.5 the exponent of 2 is 0 hence 8 bits will be used to represent 0+127 and the mantissa will have 1 followed by 22 zeros. Group of answer choices True False
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5 in IEEE 754 format. The IEEE 754 standard for floating-point representation uses a sign bit, an exponent, and a mantissa (or significand). Show more…
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A hypothetical computer stores real numbers in floating point format in 8-bit words. The first bit is used for the sign of the number, the second bit for the sign of the exponent, the next two bits for the magnitude of the exponent, and the next four bits for the magnitude of the mantissa. The number that (10100111)2 represented in the above given 8-bit format is.
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A hypothetical 12-bit computer represents floating point numbers with one sign bit, six bits of exponent in twos complement format, and five bits of significand (fraction.) That is, S EEEEEE FFFFF. The exponent represents a power of two. The fractional part is normalized and there is a no "hidden" bit; all fractional bits are explicitly stored. First, convert the exponent and significand of the following number, separately, to decimal; show your work. (Hint: don't forget that the significand has an implied binary point.) 0 000010 10000 Now, compute the decimal value of this number using the exponent and significand from the previous part; show your work. Note: This is an invented format, designed to make problems such as this one easy to work. Real computers use one of the IEEE 754 formats.
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