Question $3$

$1$ pts

Let's work through the math of a float stored in base $3...$ another hypothetical exercise.

Suppose we stored a floating point number in $6$ "bits" of storage, with the format $m*3^n.$ The mantissa and exponent are base $3$ numbers $--$ i$.$e$.,$ the value in each "bit" could be $0,1,$ or $2.$

The first "bit" is devoted to the sign of the mantissa, with $0$ being positive and $1$ or $2$ being negative.

The second "bit" is devoted to the sign of the exponent.

The third and fourth "bits" set the magnitude of the exponent.

The fifth and sixth "bits" set the magnitude of the mantissa.

What is the value of: $|0|1|1|2|2|2||,$ when converted to base $11??$ Don't worry about the formatting of the number, just give a value.

Quick hint$/$reminder about converting between bases: $\text{'}211\text{'}$ in base $3$ would be $23^2+13^1+13^0=22($in base $10).$