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GATE CSE 1988 | Question: 2iv
Give one property of the field of real numbers which no longer holds when we compute using finite-precision floating point numbers.
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GATE IT 2008 | Question: 26
Consider the field $C$ of complex numbers with addition and multiplication. Which of the following form(s) a subfield of $C$ with addition and multiplication? S1: the set of real numbers S2: $\{(a + ib) \mid a$ and $b$ are rational numbers$\}$ S3: $\{a + ib \mid (a^2 + b^2) \leq 1\}$ S4: $\{ia \mid a \text{ is real}\}$ only S1 S1 and S3 S2 and S3 S1 and S2
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