0b110110000

0b110110000 is a binary number, which is a base-2 numeral system used in digital electronics and computing. In this system, each digit, or bit, can be either 0 or 1. The prefix "0b" is used to indicate that the number is in binary format.

The binary number 0b110110000 can be converted to decimal (base-10) by calculating the sum of each bit multiplied by its corresponding power of 2. Starting from the rightmost bit (which is 2^0), the powers of 2 increase as you move to the left. For 0b110110000, the calculation would be:

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

This simplifies to:

256 + 128 + 0 + 32 + 16 + 0 + 0 + 0 + 0 = 432

Therefore, the decimal equivalent of the binary number 0b110110000 is 432.

Binary numbers are fundamental in computer science and digital electronics because they are the native language of digital circuits, which operate using binary signals. Understanding binary is essential for tasks such as programming, data representation, and error detection and correction.