1 votes 1 votes The total number of boolean function that can be constructed for n boolean variable is ?? Digital Logic digital-logic boolean-algebra drdo + – air1ankit asked Sep 28, 2017 • retagged Oct 13, 2017 by Arjun air1ankit 696 views answer comment Share Follow See all 4 Comments See all 4 4 Comments reply stblue commented Sep 28, 2017 reply Follow Share $2^{2^{n}}$ should be correct answer 1 votes 1 votes air1ankit commented Sep 28, 2017 reply Follow Share Can you please explain ... I am getting confuse bcz in one of questions it's says 4 Boolean variables,how many expression can be formed ??? And option is a-16 b-256 c-1024 d- 64*1024 Getting confused 0 votes 0 votes stblue commented Sep 28, 2017 i edited by stblue Sep 28, 2017 reply Follow Share With 4 variable you can represent 16 (i.e 24) different number, each one can be map to either 0 or 1, Therefore everyone has 2 choices, so total 216 boolean function is possible, i.e 26 * 210 (i.e 64 * 1024) is correct answer. 0 votes 0 votes LeenSharma commented Sep 28, 2017 reply Follow Share https://gateoverflow.in/58234/many-different-boolean-functions-there-boolean-variables https://gateoverflow.in/32446/possible-boolean-functions-defined-variables-boolean-algebra 1 votes 1 votes Please log in or register to add a comment.