A telephone communications system includes a quantizing device quantizing a multifrequency signal at a sampling frequency which is twice or more as larger as a sampling frequency necessary for sampling the multifrequency signal to produce quantized data, a low-pass filter low-pass filtering the quantized data at a cutoff frequency higher than a maximum frequency of the multifrequency signal to produce low-pass filtered data, and a multifrequency signal receiver alternately performing an odd-numbered receiver processing and an even-numbered receiver processing on the low-pass filtered data.