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Give an algorithm that, given two IEEE single format floating point numbers x and y , determines whether x is less than, equal to ,

Give an algorithm that, given two IEEE single format floating point numbers x and y, determines whether x is less than, equal to, or greater than y, by comparing their representations bitwise from left to right, stopping as soon as the first differing bit is encountered. Assume that neither x nor y is \pm 0,\pm \infty , or NaN. The fact that such a comparison can be done easily motivates biased exponent representation. It also justifies referring to the left end of the representation as the most significant end.

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