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1- Find the smallest positive integer x such that x and x+ 1 are represented the same in the IEEE 754 standard, assuming rounding to

1- Find the smallest positive integer x such that x and x+ 1 are represented the same in the IEEE 754 standard, assuming rounding to even is used.

2- Find the IEEE 754 single precision representation of 1/21. (HINT: Find a pattern in the binary representation and then prove that it is correct).

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