Sorry, but none of the replies so far (except #2) gives the right answer.
But it has also nothing to do with the frequency response, which is within 1dB up to 130MHz for all sensitivities from 500uV/div - 1V/div for the SDS1104X-E. To illustrate that, here's the respective graph from my review:
The reason for the different edges is because the input of the scope is severely overdriven and that in an asymmetrical way on top of that.
At this time you are perfectly right. Why I told anything about frequency response. Because I have this experience but....then big but. Time ago I measured frequency response using 50mV/div and then 200mV/div and this just because long time ago I have used it due to many reasons, including that with this and 6div "standard" height on the screen this old generator flatness was precicely checked for extremely good flatness. And this level I use many times just from my muscle memory even when generator is now very different. Then I measured also using 200mV/div.
What I find late yesterday... generator what I used for this have been bad! It have some reason flatness problem so that flatness is totally bad with some level settins. So my previous result about more than small diffewrence between V band 1. and 2. response have been totally wrong. Oh my god what mess... (I need do also many other things again and even some equipments adjustments what I have done need check or do again... shit /&¤&%/¤&%#¤...)
Good in this case is that I find this problem in my one generator now and not later.
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For OP. This is not 8 bit question. This is analog front end (before ADC) question and its linearity and range.
As Performa01 told: "The reason for the different edges is because the input of the scope is severely overdriven and that in an asymmetrical way on top of that."
And as you can see in your
last first image, this asymmetric overdrive is most bad and start hit limit what really destroy your sinal top because bottom overdrive negative side.
Here is example what are differences in pulse rising edge shape between scope Voltage band 1. and 2.
Of course this is one individual scope, just as out from box, not myself fine adjusted (and can not see any reason for do it).
Reference line is V Band 2. and running trace is V band 1. (change between 118 and 120mV)
Reference line scaled for 118mV/div.
Signal from HP programmable pulse generator, signal risetime adjusted for 1.0 - <1.2ns. RG223 and Tektronix 2GHz rated / 50ohm feed thru terminator.