0b10001000110110

0b10001000110110 is a binary number. Binary is a base-2 numeral system that uses only two symbols, typically 0 and 1. This representation indicates a specific value.

To understand the value of 0b10001000110110, we can convert it to its decimal (base-10) equivalent. Each digit in a binary number represents a power of 2, starting from the rightmost digit as 2^0, the next as 2^1, and so on.

For 0b10001000110110, the calculation is as follows:

(1 * 2^13) + (0 * 2^12) + (0 * 2^11) + (0 * 2^10) + (1 * 2^9) + (0 * 2^8) + (0 * 2^7) + (0 * 2^6) + (1 * 2^5) + (1 * 2^4) + (0 * 2^3) + (1 * 2^2) + (1 * 2^1) + (0 * 2^0)

This simplifies to:

8192 + 0 + 0 + 0 + 512 + 0 + 0 + 0 + 32 + 16 + 0 + 4 + 2 + 0 = 8758.

Therefore, 0b10001000110110 in binary is equivalent to 8758 in decimal.

Binary numbers are fundamental in computer science and digital electronics, as they form the basis for how computers store and process information. The "0b" prefix is a common convention used in programming languages and other contexts to explicitly denote that the following digits represent a binary number.