A facsimile system with the body thereof usable as a subunit of a cordless telephone is disclosed. A parent unit (502) is connected to the telephone line. A facsimile subunit (508) is connected by radio to the parent unit. A telephone subunit (504) is also connected by radio to the parent unit. A circuit (11) included in the parent unit detects a signal indicating that the other party is in facsimile transmission mode. When a call signal is detected from the telephone line, the parent unit connects the line. When a CNG signal is detected, on the other hand, the parent unit connects the facsimile subunit by radio. In the case where a CNG signal is not detected, the parent unit starts the ring-up tone on the telephone subunit. An AGC circuit (1101) and a voice mute circuit (1701) are included in the parent unit.