1011111101111

1011111101111 is a binary numeral consisting of 13 bits. In binary notation, each digit represents a power of two, with the leftmost bit corresponding to 2^12 and the rightmost to 2^0. The pattern shows two zero bits scattered among ones, making it a dense bitstring useful as a numeric value or a bit mask in digital logic.

Its decimal value is 6127. This is obtained by summing the powers of two corresponding to the ones in the string: 2^12 + 2^10 + 2^9 + 2^8 + 2^7 + 2^6 + 2^5 + 2^3 + 2^2 + 2^1 + 2^0 = 6127. In hexadecimal, the same value is 0x17EF. If padded to 16 bits for illustration, it becomes 0001011111101111, which reinforces the hex representation.

Two bits are zero in this 13-bit pattern: the second bit from the left (2^11) and the fifth bit from the left (2^4). The remainder are ones, giving the string a high density of set bits (11 ones out of 13). This makes it a strong candidate for use as a bit mask or a fixed constant in low-level programming, where specific bit patterns convey flags or configuration options.

In summary, 1011111101111 is a 13-bit binary value equating to 6127 in decimal and 0x17EF in hexadecimal, characterized by a predominantly set-bit pattern with two zeros.