1111001001
1111001001 is a binary number. In the decimal system, this binary representation converts to the integer 969. This is calculated by summing the powers of two corresponding to the positions of the '1' digits. Starting from the rightmost digit as position 0, the '1's are at positions 1, 3, 4, 5, 6, 7, and 10. Therefore, 1 * 2^1 + 0 * 2^2 + 0 * 2^3 + 1 * 2^4 + 0 * 2^5 + 0 * 2^6 + 1 * 2^7 + 1 * 2^8 + 1 * 2^9 + 1 * 2^10 would be the calculation if all were ones. However, the given binary number has a specific sequence of ones and zeros. The correct calculation for 1111001001 is 1 * 2^0 + 0 * 2^1 + 0 * 2^2 + 1 * 2^3 + 0 * 2^4 + 0 * 2^5 + 1 * 2^6 + 1 * 2^7 + 1 * 2^8 + 1 * 2^9, which is 1 + 0 + 0 + 8 + 0 + 0 + 64 + 128 + 256 + 512 = 969.
As a binary number, 1111001001 consists solely of the digits 0 and 1, which are the fundamental