Final Answer: Binary 1001 is decimal 9. ; Explanation: For this problem, we simply need to understand that a binary number can be converted to a decimal number with multiplication of the "on bits". Let's begin. First, note that in binary, as digits grow to the right, they are being multiplied by 2. In decimal, as digits grow to the right, they are being multiplied by 10. For example 0001 in binary is equivalent to 2^0 since a 1 is in the first position. 1 in decimal is equivalent to 10^0 since it is in the first position. Taking this concept a bit further consider: 101 in binary is equivalent to 2^2 + 2^0 since a 1 is in the third position and a 1 is in the first position. 101 in decimal is equivalent to 10^2 + 10^0 since a value is in the third position and a value is also in the first position. With this in mind, let's convert the binary 1001 to decimal. 1001 = 1 * 2^3 + 0 * 2^2 + 0 * 2^1 + 1 * 2^0 = 2^3 + 2^0 = 8 + 1 = 9 Hence, binary 1001 is decimal 9. Cheers. ;

Think of it as the weirdest kind of addition you've ever done. Typically, binary is done out to the 8th digit. This allows you to handle a number between 0 and 255. To take a binary number (which looks like 00111100 in binary) and convert it to a decimal number, consider each digit (each 1 or 0) as a decimal value that must be added to determine the final decimal number. If the first digit is a 1, then add 128. If the second digit is a 1, then add 64. Continue on as depicted in the following table: Position: | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | Decimal Value: | 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 As an example, 10101010 translates as follows: Binary Value: | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | Decimal Value: | 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 | Add This: | 128 | 0 | 32 | 0 | 8 | 0 | 2 | 0 10101010 = 128+32+8+2=170 Edit: fixed the tables

Binary to equivalent decimal: (1001)2 = (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2°) = (9)10 (10011)2 = (1 × 24) + (0 × 2³) + (0 × 2²) + (1 × 2¹) + (1 × 2°) = (19)10 (01101101)2 = (0 × 27) + (1 × 26) + (1 × 25) + (0 × 24) + (1 × 2³) + (1 × 2²) + (0 × 2¹) + (1 × 2°) = (109)10 (10001101)2 = (1 × 27) + (0 × 26) + (0 × 25) + (0 × 24) + (1 × 2³) + (1 × 2²) + (0 × 2¹) + (1 × 2°) = (141)10 (11111111)2 = (1 × 27) + (1 × 26) + (1 × 25) + (1 × 24) + (1 ×...