Give the Reset button a quick press when you see the "Binary sketch size:" message. Your USB-to-Serial device doesn't connect to the Auto Reset hardware on the Arduino so you have to do the reset manually.
If your USB-to-Serial adapter has a 9-pin D conector as is shown in your diagram it is probably using RS232 logic levels which are not the same as TTL logic levels. You should probably invest in a USB-to-TTL (5V) Serial cable such as:
When I upload an example code : Basic => Blink
It appear
################################## | 100% 0.05s
avrdude: Device signature = 0x000000
avrdude: Yikes! Invalid device signature.
Double check connections and try again, or use -F to override
this check.