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)Responses112210102 x 10

1 answer

When creating a table to convert from decimal to binary, the top row would typically represent the powers of 2. Specifically, you would list the powers of 2 that correspond to the binary digits, which in the top row would be:

  • \(2^0\)
  • \(2^1\)
  • \(2^2\)
  • \(2^3\)
  • and so on.

So, the proper top row for a decimal to binary conversion table would be:

1, 2, 4, 8, 16, 32, 64, ... (These correspond to \(2^0, 2^1, 2^2, 2^3, ...\))

If we consider your response options, "112210102" could potentially refer to 1, 2, 4, and so on, which correctly relates to powers of 2, but it is not in a standard format. The powers of 2 would be what you're looking for in a conversion table for decimal to binary.