Five by five is the best of 25 possible subjective responses used to describe the quality of communications, specifically the signal-to-noise ratio. As receiving stations move away from an analog radio transmitting site, the signal strength decreases gradually, causing the relative noise level to increase. The signal becomes increasingly difficult to understand until it can no longer be heard as anything other than static.
Five-by-five is the best possible Readability and Signal Strength Report previously used by some radio services.
The term has its origins in the Q code used for commercial radiotelegraph communication, and later adopted by other radio services, especially amateur radio. The first number is the answer to the question "How do you receive me?" (Q code QRK), typically answered with "I am receiving (1–5)" where 1 is unreadable and 5 is perfect. The second number is the answer to the question "What is the strength of my signals?" (Q code QSA), typically answered with "The strength of your signals is ... (1 to 5).". "5 by 5" was the answer to the QRK/QSA questions to indicate the best quality signal. "5 by 5" being the best quality was applied to other things by analogy.
The U.S. Army Radio Operator's Manual, FM 24-6 (1945 version) defines the report format as follows:
FM 24-6 further states, "Readability and signal strength reports indicate the desired method of transmission and should be used in that sense. Readability and signal strength reports are not exchanged unless "3" or less, lack of any report being assumed to indicate satisfactory communications."
The report example given uses military call signs and the obsolete Q Code of QJS for readability instead of the current QRK:
The modern equivalent of that manual is ACP131(F), which includes these entries:
In voice procedure (the techniques used to facilitate spoken communication over two-way radios) a transmitting station may request a report on the subjective quality of signal they are broadcasting. In the military of the North Atlantic Treaty Organization (NATO) countries, and other organizations, the signal quality is reported on two scales: the first is for signal strength, and the second for signal clarity or "readability." Both these scales range from one to five, where one is the worst and five is the best. The listening station reports these numbers separated with the word "by". "Five by five" therefore means a signal that has excellent strength and perfect clarity — the most understandable signal possible.