In a digital computer, a bit is one of the integers {0,1}, and a word is any string of 32 bits. How many different words are possible?
#1. For every bit there are two possible outcomes.
#2. For two bit the possible outcomes are 00,01,10,11, in otherwords
2^2## [1] 4#3. Similarly for 3 bits the possible outcomes are
2^3## [1] 8# Going back to the quesion for 32 bits.
2^32## [1] 4294967296