way analog signals are not used in computer system
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Logic is binary. Most of programming is about making complex logical structures, not just arithmetic manipulation. Designing state-full, logical structures is difficult without Boolean, which has a simple and convenient hardware implementation.
Analog signals can be used to represent a limited range of signals, analog computers can generally use a linear representational domain and range. Having a variety of integer, fixed and floating point representations means that a hugely more extensive range can be represented. “Analog Computers” generally were used to solve differential equations. A wavelet denoising implementation would be … more challenging.
Programmability. “Analog Computers” were generally programmed with a patch panel, and changing resistor and capacitor values. Cross bar switch could and did replace the patch panel, but the complexities of storing and manipulating different programs, the effect of noise and crosstalk in the switch panel, the huge inventory of Rs and Cs needed to render each possible program, make the approach impractical.