1101000001

1101000001 is a binary numeral consisting of ten bits. Interpreted as an unsigned integer, it equals 833 in decimal. The value arises from adding the powers of two represented by the set bits: 2^9 + 2^8 + 2^6 + 2^0 = 512 + 256 + 64 + 1 = 833. In hexadecimal it is 0x341, and in octal it is 0o1501.

As a binary pattern, this sequence can function as a bit mask or field in low-level data representations. The bits that are set are at positions 9, 8, 6, and 0 (counting from 0 as the least significant bit). Such patterns are common in control words, status flags, or compact data encodings where individual bits convey distinct meanings.

If interpreted as a signed value in a 10-bit two’s complement representation, 1101000001 represents -191. This follows from subtracting 2^10 (1024) from the unsigned value: 833 − 1024 = −191.

In computing and digital electronics, fixed-width binary strings like 1101000001 frequently appear as memory addresses, bit masks, or parts of instruction encodings. They illustrate how a simple sequence of bits can encode both a numeric magnitude and a set of discrete on/off signals, depending on the context and interpretation.