Question

If you were to use a table to convert from decimal to binary, which powers would be in the top row of the table? (1 point) Responses 1
2
10
2 x 10

Answer 1

it wont let me pick both

Answer 2

In a table used to convert from decimal to binary, the top row would typically represent the powers of 2, because binary is a base-2 numbering system. The powers of 2 would be:

- \(2^0\) (which equals 1)
- \(2^1\) (which equals 2)
- \(2^2\) (which equals 4)
- \(2^3\) (which equals 8)
- \(2^4\) (which equals 16)
- And so on.

Given the options you provided:

- 1 (which is \(2^0\))
- 2 (which is \(2^1\))
- 10 (not a power of 2)
- 2 x 10 (not a power of 2)

So the appropriate options from the given choices would be **1** and **2**.

Answer 3

If you can only choose one response, the best option to represent the top row of a table used to convert from decimal to binary would be **1**, as it corresponds to \(2^0\) (the lowest power of 2) and is the foundation of the binary system.