Abstract: The present invention relates to a method and apparatus for compression and decompression of a numerical file. The compression method comprises: read a numerical file, convert each numerical element into a 32-bit floating point number; combine all the numbers to form a binary numerical file; group the binary numerical file into a n-bit sequence pattern; generate a Huffman tree based on frequency of occurrences of a plurality of unique bit patterns present in the binary numerical file; generate codewords and replace unique bit patterns with codewords so that a compressed binary numerical file is generated. A method for decompression comprises: read a compressed binary numerical file having codewords; fetch a part or entire compressed binary numerical file using an address dictionary; replace the codewords with unique bit patterns using a Huffman tree such that a decompressed binary numerical file being generated.