Maribov - 6 months ago 35

C Question

I'm trying to learn more about how computers store memory. So I've found information on how to represent binary numbers or hexadecimal numbers, but I found a question asking:

`Given three n-bit unsigned ints: x, y, z, what is the min #`

of bits required to represent x * y + z

So my thinking is: Do I have to just account for all three ints separately and do the math for the smallest possible numbers so for example 0 * 0 + 0

Or do I have to account for another variable n that is the result of the problem?

I'm having some trouble thinking this out.

Answer

The number of bits required is `n + n`

. Taking an example using 8 bits and maximum unsigned values:

```
255 * 255 + 255 = 65280
```

The result is less then `65536`

which would require more than 16 bits.