Question

how both acid and base conduct electricity ?

Answer 1

both acid and base has charged particles called ions present in it. acid have concentration of H+ ions and base hah OH - ions. so they conduct electricity.

Answer 2

see it's simple to say acid and base conduct electricity but how it's a difficult task . So I think that you know the acid contains electrons more than base . when electricity is passed from an acid than the ions present in it starts moving and electricity is passed.