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

A

$$1\times 10^{-128}$$ and $$2^{15}\times 10^{128}$$

B

$$1\times 10^{-256}$$ and $$2^{15}\times 10^{255}$$

C

$$1\times 10^{-128}$$ and $$2^{15}\times 10^{127}$$

D

$$1\times 10^{-128}$$ and $$(2^{15} - 1) \times 10^{127}$$