0b1110111101100

0b1110111101100 is a binary numeral literal. The 0b prefix denotes base-2 in many programming languages, and the digits that follow form a 13-bit binary number.

In decimal, the value of 0b1110111101100 is 7660. In hexadecimal, it is 0x1DEC. This corresponds to the binary bits set at positions 12, 11, 10, 8, 7, 6, 5, 3, and 2, since 2^12 + 2^11 + 2^10 + 2^8 + 2^7 + 2^6 + 2^5 + 2^3 + 2^2 = 7660.

The bit pattern 1110111101100 has a length of 13 bits, with the most significant bit being 1. The number ends with 00 in binary, which means it is even and divisible by 4 but not by 8. There is no inherent sign information in this representation when treated as an unsigned integer; as with most binary literals of this kind, its interpretation depends on the surrounding language and numeric width.

Context and usage: a binary literal such as 0b1110111101100 is often used in programming and computer science examples to illustrate one’s understanding of base-2 notation, bitwise operations, or bit-pattern manipulation. Its hexadecimal form, 0x1DEC, can be convenient for compact representation or debugging, as hex aligns well with 4-bit groupings of the binary digits.