BMAT 2008 · Question 23 · Rates
SaveA code for transmitting binary signals at night is devised which assigns an ordered combination of red and blue flashes to each letter of the alphabet. In order to keep transmissions short, the shortest possible ‘strings’ of red and blue flashes are assigned first: One red flash for A One blue flash for B Two red flashes for C One red followed by one blue flash for D And so on, introducing longer strings as necessary.
Given that flashes will be transmitted once a second and a one second gap will be left in between letters, how many seconds would it take to transmit the entire alphabet of 26 letters?