Connecting my TV and DVD player to a dig...

There are 4 different types of cables and they have to do with the quality and resolution of what they carry.
1) Coaxial or an RCA to RCA, 'Yellow colored connectors' - Composite video - Lowest quality of video you can get. Mostly what people hook up from their VCR's. '240 to 480 lines of interlaced resolution.

2) S-VHS cable - 4 pins - Carry Chroma 'Color' over the one set of two pins and Luminance 'B&W' signal over the other 2 pins. This is a higher resolution than the Composite video cable - 480 to 512 'still interlaced resolution' or ' i ' .

3) Component cables - RCA ends but there are 3 of them. Red colored 'for the Red video signal', Green colored connector 'for the Green video signal with Vertical sync laid on top of it,' and then Blue colored 'for the 'yep you guessed it' the Blue video signal with the horizontal carrier laid on top of the signal'.
This is the higher resolution of 720 ' i ' interlaced or even when selected by your piece of output equipment up to 1080p 'Progressive' resolution if your equipment can output this highest resolution.

4) HDMI - is a cable that not only carries the component but does it digitally along with audio and an ID bit that the Transmitting equipment 'STB' in this case should communicate with your 32" LCD HD-TV so that it will put out the maximum signal 'probably 1080P' that your TV will handle.
I would try to obtain an HDMI cable and use this to connect your STB to your LCD for the best connection between your two units.
Blessings,
A/V Media Guy