Alex writes a simple program to calculate the final cost of a purchase:

cost $0\mathrm{.}7$

tax $0\mathrm{.}1$

final $$ cost $+$ tax

They're surprised to see that final stores the value $0\mathrm{.}7999999999999999$ instead of $0\mathrm{.}8.$

What is the best explanation for that result?

Choose $1$ answer:

Choose $1$ answer:

$($Choice A$)$ An integer overflow error occurred.

A

An integer overflow error occurred.

$($Choice B$)$ The result was too large of a number to be stored in floating$-$point representation.

B

The result was too large of a number to be stored in floating$-$point representation.

$($Choice C$)$ The arithmetic operations on floating$-$point numbers resulted in a round$-$off error.

C

The arithmetic operations on floating$-$point numbers resulted in a round$-$off error.

$($Choice D$)$ The computer stored the result with floating$-$point representation instead of integer representation.

D

The computer stored the result with floating$-$point representation instead of integer representation.

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