3 3 votes Which of the following set of components is sufficient to implement any arbitrary Boolean function? $XOR$ gates, $NOT$ gates $AND$ gates, $XOR$ gates and $1$ $2$ to $1$ multiplexer Three input gates that output $(A.B)+C$ for the inputs $A, B, C$ Digital Logic isrodec2017 functional-completeness digital-logic + – gatecse 3.6k views answer comment Share Follow Print See all 4 Comments 4 4 Comments reply sachin! commented Dec 20, 2017 reply Follow flag Option c 0 0 replyShare Abhisek Tiwari 4 commented Feb 13, 2019 i edited by Abhisek Tiwari 4 Feb 13, 2019 reply Follow flag C should also be ans but in ans key only B is mentioned! [for each external input 0/1 required to make it func cmpl] see https://gateoverflow.in/1487/gate1999-2-9 0 0 replyShare Asim Siddiqui 4 commented Jan 11, 2020 reply Follow flag 2-1 multiplexer is functionally complete provided we have external 1 and 0 available. 0 0 replyShare Deepak Poonia commented Jun 21, 2024 reply Follow flag Detailed Video Solution, with Complete Analysis: https://youtu.be/MJgwNj8y3tw?t=4779&feature=sharedWatch Functional Completeness Complete Course. 0 0 replyShare Please log in or register to add a comment.
1 1 vote a⊕1= a' a' ⊕1=a Thus XOR ⊕ and 1 can make NOT gate AND is given {AND, NOT} is functionally complete. Answer is B sh!va answered Jan 10, 2018 sh!va comment Share Follow See all 4 Comments 4 4 Comments reply Anu007 commented Jan 10, 2018 reply Follow flag plz explain in answer why not c 0 0 replyShare Aishwarya Gujrathi commented Feb 5, 2018 reply Follow flag Even using 2 to 1 mux, any logic gate can be generated. The why not c is the answer? 0 0 replyShare habedo007 commented Feb 16, 2018 reply Follow flag MUX is also functionally complete: https://gateoverflow.in/1487/gate1999-2-9 2 2 replyShare Ollie commented Jul 5, 2020 reply Follow flag Why option C) 2 to 1 Multiplexer is not correct? Because we need external 1 and 0 for it to functionally complete, which is not given in option while for option B) AND gates, XOR gates and 1, they have explicitly mentioned that 1 is available, now XOR and 1 can make not gate so we have (AND, NOT) which is functionaly complete that makes option B more appropriate. 1 1 replyShare Please log in or register to add a comment.