1011101000010

1011101000010 is a binary numeral consisting of 13 bits. In unsigned interpretation, it represents the decimal value 5954. The ones occur at bit positions 12, 10, 9, 8, 6, and 1 (counting from the least significant bit as 0).

When expressed as a sum of powers of two, the value is 2^12 + 2^10 + 2^9 + 2^8 + 2^6 + 2^1 = 4096 + 1024 + 512 + 256 + 64 + 2 = 5954. If padded to a 16-bit width for hexadecimal representation, the same pattern corresponds to the value 0x1742.

If interpreted as a signed number in two's complement form with 13 bits, the bit pattern represents -2238, because the range for 13-bit signed values is -4096 to 4095 and the pattern with a leading 1 denotes a negative value.

The 13-bit length means this string does not align with common byte (8 bits) or word (16 bits) boundaries, so it typically appears as part of a larger data stream, a coded identifier, or a puzzle or demonstration of binary arithmetic rather than as a standalone standard data type.

In other common representations, the value can be noted as 5954 in decimal or 0x1742 in hexadecimal when considering 16-bit padding. In programming contexts, binary literals are often written with a prefix such as 0b1011101000010 in languages that support binary notation.

See also: binary numeral system, two's complement, hexadecimal notation, binary literals.