1111010100

1111010100 is a binary number. In the decimal system, this sequence of digits represents the number 980. Binary is a base-2 numeral system that uses only two symbols, typically 0 and 1, to represent numerical values. Each digit in a binary number is called a bit, and the position of the bit determines its value, which is a power of 2.

To convert 1111010100 from binary to decimal, we multiply each digit by its corresponding power of 2 and sum the results. Starting from the rightmost digit as the 0th power:

(1 * 2^9) + (1 * 2^8) + (1 * 2^7) + (1 * 2^6) + (0 * 2^5) + (1 * 2^4) + (0 * 2^3) + (1 * 2^2) + (0 * 2^1) + (0 * 2^0)

= (1 * 512) + (1 * 256) + (1 * 128) + (1 * 64) + (0 * 32) + (1 * 16) + (0 * 8) + (1 * 4) + (0 * 2) + (0 * 1)

= 512 + 256 + 128 + 64 + 0 + 16 + 0 + 4 + 0 + 0

= 980

Therefore, the binary number 1111010100 is equivalent to the decimal number 980. Binary numbers are fundamental to the operation of computers and digital electronics, as they are the basis for representing all data and instructions.