The arm assembly has different shift functions shifting bits. One set of shift functions belongs to the logical shifts (like LSR) and the other set is called mathematical shifts (like ASR). Why we have two different set of shift functions and explain what are the corresponding use of such functions?

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Fast Fourier Transform Concepts

The algorithm used to convert a sequence to its Discrete Fourier transform (DFT) is known as the Fast Fourier transform. It can be used for both DFT and IDFT (Inverse DFT) transformation.