What values are used to convert from denary to binary?

To convert from denary (decimal) to binary, place values are essential. Place values refer to the value assigned to each digit position in a binary number. In binary, each digit represents a power of 2, starting from the rightmost digit, which represents 2^0 (1), the next represents 2^1 (2), followed by 2^2 (4), and so on.

For example, when converting the denary number 13 to binary, you would recognize that:

• 8 (2^3) can fit into 13, leaving 5 (13 - 8 = 5).

• 4 (2^2) can fit into 5, leaving 1 (5 - 4 = 1).

• 1 (2^0) fits into 1, leaving 0.

Thus, in binary, the representation of the number 13 is 1101, which corresponds to having a '1' in the 2^3, 2^2, and 2^0 place values, and a '0' in the 2^1 place value. This placement of digits illustrates how place values allow for the systematic conversion from denary to binary,