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Consider a computer system that stores floating-point numbers with 16-bit mantissa and an 8-bit exponent, each in two’s complement. The smaliest and largest positive values which can be stored are
$$1\times 10^{-128}$$ and $$2^{15}\times 10^{128}$$
$$1\times 10^{-256}$$ and $$2^{15}\times 10^{255}$$
$$1\times 10^{-128}$$ and $$2^{15}\times 10^{127}$$
$$1\times 10^{-128}$$ and $$(2^{15} - 1) \times 10^{127}$$
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