Fast and cheap correct resolution conversion for digital numbers

摘要

A method and apparatus for converting an N-bit resolution input to an M-bit resolution output is provided. Upon receiving an original input having an N-bit input sequence, the method and apparatus generates an (N+M)-bit sequence by repeating the N-bit input sequence in the original input. A new M-bit sequence is generated by taking M Most Significant Bits from the (N+M)-bit sequence, and a new N-bit sequence is formed by taking N Most Least Significant Bits from the (N+M)-bit sequence. The M-bit resolution output is then formed by adjusting the new M-bit sequence based on the difference between the new N-bit sequence and the N-bit input sequence.