Question $1$

$1\mathrm{.}25$ pts

A number is represented in a computer as $0\mathrm{.}110011112^{-3}$

How many bits are in the mantissa of this number?

$8$

$3$

$2$

Question $2$

$1\mathrm{.}25$ pts

True or false?

Any function can be represented using a Taylor Series of order $N,$ as long as it is continuous and differentiable up to some order $N1.$

As an example, to write a Taylor Series approximation $P_N$ for a function, where $N=5,$ we would need to be able to compute the fifth derivative to calculate the series, and the sixth derivative to estimate the error $(R_N).$

$$ True

False