1111101000001

1111101000001 is a binary numeral consisting of 13 bits. It represents a positive integer in the binary numeral system and is often used in discussions of digital representations, encoding, and number theory.

Its decimal value is 8001. This can be verified by adding the contributions of the set bits: 2^12 + 2^11 + 2^10 + 2^9 + 2^8 + 2^6 + 2^0 = 4096 + 2048 + 1024 + 512 + 256 + 64 + 1 = 8001.

In hexadecimal the value is 0x1F41. The same number in octal is 0o17501. The 13-bit pattern has a leading one and an odd parity (the least-significant bit is 1).

As a 13-bit quantity, it would occupy 13 bits; when stored in standard modern registers it is typically padded with leading zeros (for example as 0001111101000001 in 16-bit form, corresponding to 0x1F41).

The pattern can be described as five consecutive ones at the most-significant end, followed by a zero, a one, five zeros, and a trailing one. This structure makes it non-palindromic and gives it a nontrivial bit pattern for uses in encoding demonstrations or bitwise testing.