Question

how many bits would you need if you wanted to count up to the decimal number 1000?

Explanation:

Step1: Recall the formula

The number of values that can be represented with $n$ bits is $2^n$. We need to find $n$ such that $2^n\geq1000$.

Step2: Solve for $n$

We know that $2^{10}=1024$ and $2^9 = 512$. Since $512<1000<1024$, we need 10 bits.

Answer:

10