1000001011101

1000001011101 is a binary numeral consisting of 13 bits. As a binary value, it encodes a single positive integer when interpreted in base-2.

In decimal, it equals 4189; in hexadecimal, it corresponds to 0x105D. The number is odd, since the least significant bit is 1. The bits set to 1 occur at positions 12, 6, 4, 3, 2, and 0 (counting from zero at the least significant end). This gives the value 2^12 + 2^6 + 2^4 + 2^3 + 2^2 + 2^0 = 4096 + 64 + 16 + 8 + 4 + 1 = 4189. As a 13-bit value, it lies in the range from 4096 to 8191.

In common computer representations, this 13-bit value is typically stored with leading zeros, for example as a 16-bit binary string 0001000001011101, which is also 0x105D in hexadecimal. In contexts outside specialized hardware or encoding schemes, 13-bit widths are less common than 8, 16, or 32 bits, but they have appeared in legacy systems and compact data formats.

See also: Binary numeral system, Decimal numeral system, Hexadecimal, Bit masking.