0b1001101001101

0b1001101001101 is a binary number, where "0b" is a common prefix used to denote binary literals in many programming languages. Binary numbers are base-2 number systems that use only two digits: 0 and 1. Each digit in a binary number is referred to as a bit, which is a portmanteau of "binary digit."

The binary number 0b1001101001101 consists of 14 bits. To understand its value in more familiar number systems, it can be converted to decimal (base-10) or hexadecimal (base-16). In decimal, 0b1001101001101 is equal to 27,581. This conversion is done by multiplying each bit by 2 raised to the power of its position, starting from 0 on the right, and summing the results.

In hexadecimal, 0b1001101001101 is represented as 0x6B5D. Hexadecimal is often used as a more human-friendly way to represent binary numbers, as it groups the bits into sets of four, making it easier to read and write.

Binary numbers are fundamental in computing and digital electronics because they represent the on and off states of electronic components, such as transistors. Each bit can represent a true (1) or false (0) value, making binary numbers essential for encoding data and instructions in computers.