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
0b11000000000 = (1 * 2^10) + (1 * 2^9) + (0 * 2^8) + (0 * 2^7) + (0 * 2^6) + (0 * 2^5) + (0 * 2^4)
= (1 * 1024) + (1 * 512) + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0
= 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
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