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

1

2

2

10

10

2 x 10

1 answer

In a table used to convert from decimal to binary, the top row would typically consist of powers of 2, as binary is a base-2 numeral system. The powers of 2 in the top row would be:

  • \( 2^0 \) (1)
  • \( 2^1 \) (2)
  • \( 2^2 \) (4)
  • \( 2^3 \) (8)
  • \( 2^4 \) (16)
  • \( 2^5 \) (32)
  • \( 2^6 \) (64)
  • \( 2^7 \) (128)
  • And so on, depending on how many bits you wish to represent.

So, if your table is designed for basic rounding to the nearest byte (8 bits), you would list the powers like this.

The correct response would simply be "2" from the options given, as binary conversions involve powers of 2.