1010101101010

1010101101010 is a binary numeral consisting of 13 bits. In unsigned form it represents the decimal number 5482, and in hexadecimal it corresponds to 0x156A. The pattern can be read as a simple bit string or as data within digital systems that use 13-bit widths.

Bit composition and interpretation: the string contains seven ones, giving a Hamming weight of 7. The most significant bit (the leftmost) is 1, so if interpreted as a signed 13-bit two’s complement value, it would represent -2710; as an unsigned value, it remains 5482. In other common representations, the same bits can be viewed in different groupings or with padding to fit standard word sizes.

Representations: as a 16-bit value padded on the left, it becomes 0001010101101010, which is also 0x156A. Grouped into 4-bit segments for readability, it can be shown as 0001 0101 0110 1010 when padded to 16 bits, or as 1 5 6 A in hexadecimal notation.

Context and uses: binary strings of this length are not standard in most contemporary general-purpose architectures, which typically employ 8, 16, 32, or 64-bit widths. Nevertheless, 13-bit patterns can appear in specialized hardware, digital signal processing, or historic systems. Such a pattern might serve as a test vector, a memory address in a hypothetical 13-bit space, or as a bitmask in demonstrations of bitwise operations.

See also: binary numeral systems, two’s complement, hexadecimal notation, bit masking.