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

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

GPT-4o mini · Answer

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

it wont let me pick both

GPT-4o mini · Answer

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.