1101111110100

1101111110100 is a binary numeral consisting of 13 bits. Interpreted as an unsigned integer, it represents the decimal value 7156. The value is obtained by summing the powers of two corresponding to the set bits: 2^12 + 2^11 + 2^9 + 2^8 + 2^7 + 2^6 + 2^5 + 2^4 + 2^2 = 7156.

In hexadecimal, the number is 0x1BF4. This hex form is equivalent to the full 16-bit binary pattern 0001 1011 1111 0100 when padded to a standard word size. The grouping is sometimes used in low-level software and hardware contexts for readability.

The binary pattern contains a run of six consecutive ones (bits 9 through 4), a feature sometimes noted in analyses of bit strings. The remaining ones are at the most-significant end and among the least-significant bits.

Depending on interpretation, 1101111110100 can be viewed as an unsigned 13-bit value of 7156, or as a signed two's-complement 13-bit value of -1036 due to the most-significant bit being 1. In common computer architectures it would typically be stored in a larger word size (for example as 16 bits) with leading zeros.

Applications of such binary literals include testing, encoding demonstrations, and as examples in discussions of binary-to-decimal conversion, digital logic design, and computer science education.