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You can definitely run Debian GNU/Linux with XFCE Desktop Environment on a system with 2GB RAM.

As per the documentation,


 > A Pentium 4, 1GHz system is the minimum recommended for a desktop system.
>
 > **Table 3.2. Recommended Minimum System Requirements**
> | Install Type | RAM (minimum) | RAM (recommended) | Hard Drive |
>|-|-|-|-|
>| No desktop | 512MB | 1GB| 4GB |
>| With Desktop | 1GB | 2GB | 10GB |
>
>The minimum values assumes that swap will be enabled and a non-live image is used. The “No desktop” value assumes that the text-based installer (not the graphical one) is used.
>
>*The actual minimum memory requirements are a lot less than the numbers listed in this table. With swap enabled, it is possible to install Debian with as little as 350MB.*

GNOME and KDE are more resource consuming environments. So, it is recommended to use lightweight desktop environment and XFCE is good option to try which is visually appealing and user friendly also.