A noiseless 3 KHz channel can transmit binary at the rate __________ .

Maximum data rate for noiseless channel is given by Nyquist Theorem

= 2H log₂ V bits/sec

V - discrete levels (Here Binary i.e. 2)

H - Bandwidth

∴ Maximum data rate = 2H log₂ V

= 2(3 KHz) log₂ 2 = 2 x 3 x 10³ x 1

= 6 x 10³ = 6000 bps.