110001101

110001101 is a binary numeral consisting of nine bits. In base-2 notation, each digit represents a power of two, with the leftmost bit corresponding to 2^8 and the rightmost to 2^0. This pattern can be used to illustrate binary arithmetic and digital logic concepts.

The value of 110001101 in decimal is 397. This is calculated by summing the weights of the set bits: 2^8 (256) + 2^7 (128) + 2^3 (8) + 2^2 (4) + 2^0 (1) = 397. In hexadecimal, the same binary pattern is 0x18D.

As a nine-bit value, 110001101 has five bits set to one (a Hamming weight of 5) and is an odd number due to the least significant bit being 1. The decimal value 397 is a prime number, meaning it has no positive divisors other than 1 and itself.

In practical terms, a nine-bit binary string like 110001101 is not common for standard data widths in contemporary computer architectures, which typically use 8, 16, 32, or 64 bits. Nevertheless, such patterns appear in educational examples, legacy systems, or specific encoding schemes where non-standard widths are used for teaching concepts, testing logic circuits, or representing small ranges of values.

See also: Binary numeral system, Decimal and hexadecimal representations, Prime numbers, Parity and bit patterns.