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is arduino nano equivalent to arduino uno in terms of the interface input and output?

Yes.

Yes, except:
Nano has 2 additional Analog input only pins, A6 & A7.
Nano only has 50mA of 3.3V current from the FTDI chip that does USB/Serial conversion. Uno has 150mA 3.3V regulator.
(unless its a clone with CH430G for USB/Serial, then who knows for 3.3V)
Nano only has 500mA of 5V current. Uno has 800mA 5V regulator.
Uno's Atmega16U2 USB/Serial chip can be reprogrammed for other things.

I am having trouble making a DUE work with a LCD sketch loaded from the examples. It seems that
there is a difference between the UNO and DUE as DUE wont compile. If I run a sketch that doesn't call
a library it runs ok but slow. Have no idea how to fix the problem Adafruit .h's don't work.

w1hrm:
I am having trouble making a DUE work with a LCD sketch loaded from the examples. It seems that
there is a difference between the UNO and DUE as DUE wont compile. If I run a sketch that doesn't call
a library it runs ok but slow. Have no idea how to fix the problem Adafruit .h's don't work.

The Due is significantly different from other Arduino boards, because it uses a more sophisticated microcontroller; a great many libraries only work on 8-bit AVR (ie, attiny/atmega) based arduinos, not the Due/Zero. See the product reference pages for more information on the differences between the Due, Zero and the rest of the Arduino family.

Your post had nothing to do with the rest of the content of this thread, next time that happens, make a new thread.

is arduino mega equivalent to arduino uno in terms of the interface input and output?

jarryl96:
is arduino mega equivalent to arduino uno in terms of the interface input and output?

The Arduino Mega has a whole lot more pins, 8 times the flash, and 4 times the RAM (or something like that); the two are not entirely interchangeable. It's a much more capable board - but most people don't need all that capability. Code meant for the Uno can be moved to the Mega; pin numbers may need to be changed. There are some compatibility issues with some shields, mainly due to SPI being on different pins.