Sonic Boom: System For Reducing The Digital Footprint Of Data Streams Through Lossless Scalable Binary Substitution

Abstract

Because all digital data streams are composed of randomly-distributed zeros (0s) and ones (1s) called bits, it can be posited that all arbitrary-length binary data sets having a finite magnitude can be distilled into numerically-precise integers that accurately represent the value of every individual bit within the set. Mathematically, once a data stream's bit structure has been analyzed, the exact combination of its uniquely-assembled bits, its “digital footprint”, can be perfectly replicated simply by calculating the numerical value of each consecutive bit to produce a decimal sum equal to the value of the entire stream. This universal data compression technique is called “SCALABLE BINARY SUBSTITUTION” because the functional objective of the scheme is to analyze the digital footprint of a source data stream, regardless of its magnitude, and substitute the entirety of its encoded information for a simple math expression: Absolutely lossless data compression through mathematically-precise substitution.

1 . The invention claimed functions as a data substitution system by applying binary-to-decimal arithmetic to directly calculate the decimal value of each consecutive bit in any arbitrary-length binary source data set in order to produce an output decimal sum whose precise numerical value is substituted for the entire string of binary source bits. 
     
     
         2 . A data substitution system as claimed in  claim 1 , in which the individual bits of a binary source data set are interpreted and/or directly calculated in a manner that produces an output decimal sum independently and exclusively respective of each bit's spatial values derived from their exact positions within the set. 
     
     
         3 . The invention claimed achieves a level of material data compression by converting the output decimal sum of the consecutively added bits of a binary source data set as produced in  claim 1 , or  2 , into an interchangeable mathematical expression of equivalent numerical value specifically encoded, prearranged, or designed to produce a materially reduced magnitude.