It's not the board it's the noid that takes the power.
Just looked up the spec on CR2032 batteries, they can supply up to 2ma and at that discharge rate the capacity drops to 75mah.
Most noids are rated at 6v, 0.25W to 0.5W so you'll need 41ma to 84ma (that's at 6v, at 9v it will be 50% higher) just for the noid then whatever the board takes which i guess will be 10ma to 30ma depending on board and LED brightness etc.
So if we go on the min values you'll be needing 75 CR2032 batteries
*edit* Looking at normal PP3 duracell procell's they can supply up to 1000ma.