011011011
The string "011011011" is a sequence of binary digits, also known as bits. In its most common interpretation, it represents a number in base-2. To convert this binary number to its decimal equivalent, each digit is multiplied by a power of 2, starting from the rightmost digit with 2^0.
The conversion process for "011011011" is as follows:
(0 * 2^8) + (1 * 2^7) + (1 * 2^6) + (0 * 2^5) + (1 * 2^4) + (1 * 2^3) + (0 * 2^2) + (1
= (0 * 256) + (1 * 128) + (1 * 64) + (0 * 32) + (1 * 16) + (1 * 8) + (0 * 4) + (1
= 0 + 128 + 64 + 0 + 16 + 8 + 0 + 2 + 1
= 219
Therefore, in decimal (base-10), the binary string "011011011" represents the number 219.
Binary representations are fundamental in computer science and digital electronics, where they are used to encode