I read this sentence from a book: "MR is a dc reset". It said about master reset leg in a counter IC.
I have been searching but found nothing related to this terminology. I wonder what a dc reset is?
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Without any context in your question other than "a book" the best that can be said is that it refers to the counter reset input on a digital counter chip. A defined logic 1 or 0 on this pin will reset the counter to a predefined count value - almost always zero.
The DC (capitals?) refers to direct current. This is a bit confusing as DC gives the impression that the voltage is constant whereas for the reset signal it will typically be a pulse. Again, without context, the best that can be said is that the author intends to convey the impression that the signal is DC coupled as in standard electronic logic.
My WAG: Likely, since it is a IC, this is a "power-on reset", which conceptually, in ICs, is a reset that places all registered logic (that has a reset attached) to a known value. The fact that the author refers to it as "dc reset" is probably a pedantic detail he uses to make it clear that the reset is(/should be) sourced from the DC portion of whatever CCA/PCB the IC is instantiated upon.