1100000101
1100000101 is a binary number. In the decimal system, this binary representation converts to 773. Binary is a base-2 numeral system that uses only two symbols, typically "0" and "1". Each digit in a binary number represents a power of two, starting from the rightmost digit as 2^0, the next as 2^1, and so on.
To convert 1100000101 to decimal, we perform the following calculation:
(1 * 2^9) + (1 * 2^8) + (0 * 2^7) + (0 * 2^6) + (0 * 2^5) + (0 * 2^4) + (0 * 2^3) + (1
= (1 * 512) + (1 * 256) + (0 * 128) + (0 * 64) + (0 * 32) + (0 * 16) + (0 * 8) + (1
= 512 + 256 + 0 + 0 + 0 + 0 + 0 + 4 + 0 + 1
= 773
Binary numbers are fundamental to computing, as electronic circuits can easily represent two states: on or