I'm trying to test ULN2803 with Led MATRIX. But with different Logic it is giving no change on the output and making the LED lit up. Why is this so
It's a simulation model misbehavior, you should add pull up resistors to the outputs (for the simulation only) to correct it.
The shown schematic is valid for simulation only, the pullup network is not needed in the real circuit.
You also have to add the current limiting series resistors for the leds of the dot display in the real circui, they are omitted in proteus to improve the simulation speed.
Try connecting pin 9 to 0V: -
You don't appear to have a pin 9 on your model?
Current limit resistors are needed for each LED segment although this is only a simulation.