$4.$ Describe what we mean when we say that our world is analog. $[$Hint: Think about the length of a line drawn by a pencil or the Real number line$].$

$5.$ Why can't we simply use an analogy signal in a computer to represent our analog world? Why digitize?

$6.$ Conceptually, how could we use what know now $($i$.$e$.,$ we can store integers in a digital format$)$ to encode a representation for rational numbers.