Given the numbers BIN: 1110, DEC: 13, and HEX: F, which list orders them from least to greatest?

To understand the correct order of the numbers from least to greatest, it's essential to first convert all the values into a common numerical base, typically decimal (base 10), so they can be easily compared.

1. The binary number 1110 can be converted to decimal as follows:

• Starting from the right, the digits represent powers of 2:

• (1 \times 2^3) (8)

• (1 \times 2^2) (4)

• (1 \times 2^1) (2)

• (0 \times 2^0) (0)

• Adding these together gives (8 + 4 + 2 + 0 = 14).

2. The decimal number is already in decimal format as 13.

3. The hexadecimal number F represents 15 in decimal, as hexadecimal is base 16 and F corresponds to 15.

Now, having converted each number:

• The binary 1110 is 14 in decimal.

• The decimal number is 13.

• The hexadecimal F is 15.

Ordering these values in decimal:

• 13 (DEC)

• 14 (BIN)