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I\'ve been required to represent 10 million numbers inexponential binary. N 1 =

ID: 3609411 • Letter: I

Question

I've been required to represent 10 million numbers inexponential binary. N1 = +- a1 x2+-b1 The above is what was written on the board in explanation ofhow to accomplish this and I and the rest of the class admit weunderstand this not at all. This is an arbitrary problem and exists in no textbook Ihave. I've been required to represent 10 million numbers inexponential binary. N1 = +- a1 x2+-b1 The above is what was written on the board in explanation ofhow to accomplish this and I and the rest of the class admit weunderstand this not at all. This is an arbitrary problem and exists in no textbook Ihave. The above is what was written on the board in explanation ofhow to accomplish this and I and the rest of the class admit weunderstand this not at all. This is an arbitrary problem and exists in no textbook Ihave.

Explanation / Answer

The real number -0.125 is equal to

           The absolute value of the mantissa is, however, always greater thanor equal to 1 and less than the base of numeration.

IEEE single-precision representation of a real number

One bit is reserved for the sign, and it is set to 0 for apositive number and to 1 for a negative one.

Sign bit = 0 or 1

The exponent, which is a signed integer in the range from -126to 127, is represented as a biased value. (127 is the biasused)

Only the part of the mantissa that comes after the binary pointis actually stored. This suppressed digit at the beginning of themantissa is called the ``hidden bit.''

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