A method and system are presented for fast and efficient isolation, purification and quantitation of nucleic acids from complex biological samples using isotachophoresis in microchannels. In an embodiment, a sieving medium may be used to enhance selectivity. In another embodiment, PCR-friendly chemistries are used to purify nucleic acids from complex biological samples and yield nucleic acids ready for further analysis including for PCR. In another embodiment, small RNAs from biological samples are extracted, isolated, preconcentrated and quantitated using on-chip ITP with a high efficiency sieving medium. The invention enables fast concentration and separation (takes 10s to 100s of seconds) of nucleic acids with high selectivity and using lower volumes of reagents (order of 10s of μL to focus less than 1 pg/μL of nucleic acid).