0b11000000000

0b11000000000 is a binary number. The "0b" prefix indicates that the following digits are in the base-2 numeral system. Binary numbers are composed solely of the digits 0 and 1, representing two states, commonly interpreted as off/on, false/true, or low/high voltage.

To understand the value of 0b11000000000 in other number systems, we can convert it to decimal. Starting from the rightmost digit, each digit's position represents a power of 2, increasing from 2^0.

0b11000000000 = (1 * 2^10) + (1 * 2^9) + (0 * 2^8) + (0 * 2^7) + (0 * 2^6) + (0 * 2^5) + (0 * 2^4) + (0 * 2^3) + (0 * 2^2) + (0 * 2^1) + (0 * 2^0)

= (1 * 1024) + (1 * 512) + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0

= 1024 + 512

= 1536

Therefore, in the decimal (base-10) system, 0b11000000000 is equivalent to 1536.

In hexadecimal (base-16), we group the binary digits into sets of four, starting from the right.

0b11000000000 can be grouped as 110 0000 0000. We can pad the leftmost group with zeros to make it four digits: 0110 0000 0000.

0110 in binary is 6 in decimal and hexadecimal.

0000 in binary is 0 in decimal and hexadecimal.

So, 0b11000000000 is 600 in hexadecimal. This notation is often written as 0x600.

Binary numbers are fundamental in computer science and digital electronics, where they are used to represent data and perform calculations.