Get a composite lead and the Mini AV2HDMI UP Scaler 1080P and it will convert the output to HDMI - low res is crystal clear, you can also use High Res but not played with it much lately, it uses a micro usb port to draw charge so either a phone charger will power it or something with a USB port, mine sits next to my USB Hub so I run it off that.
Cost is between £12 and £20, I use these to convert my Xbox original and PS2 to HDMI