10000000100101

10000000100101 is a binary numeral consisting of 14 bits. As an unsigned integer, it has a decimal value of 8229. In hexadecimal, it is 0x2025, and in octal, it is 0o20045.

The bit pattern begins with a 1 in the most significant position, followed by seven zeros, then a 1, and ending with the sequence 00101. This places the set bits at positions 13, 5, 2, and 0 (counting from the least significant bit as position 0). The 14-bit length means the maximum representable unsigned value is 2^14 − 1 = 16383, so 8229 sits roughly in the middle of the range.

In historical and practical contexts, 14-bit widths have appeared in some vintage computing and digital signal processing applications, where specific hardware or data formats used 14-bit data words. The number itself does not correspond to a widely recognized constant or standard symbol in modern practice; it serves as an example of binary encoding for a small unsigned integer.

As an additional note, if the 14 bits are treated as two consecutive 7-bit ASCII characters, the sequence encodes the characters '@' and '%'. The first seven bits (1000000) correspond to ASCII 64, which is '@', and the remaining seven bits (0100101) correspond to ASCII 37, which is '%'.