1 votes 1 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 asked Dec 17, 2017 • reopened Jul 11, 2022 by Arjun gatecse 2.4k views answer comment Share Follow See all 3 Comments See all 3 3 Comments reply sachin! commented Dec 20, 2017 reply Follow Share Option c 0 votes 0 votes Abhisek Tiwari 4 commented Feb 13, 2019 i edited by Abhisek Tiwari 4 Feb 13, 2019 reply Follow Share 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 votes 0 votes Asim Siddiqui 4 commented Jan 11, 2020 reply Follow Share 2-1 multiplexer is functionally complete provided we have external 1 and 0 available. 0 votes 0 votes Please log in or register to add a comment.
1 votes 1 votes 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 See all 4 4 Comments reply Anu007 commented Jan 10, 2018 reply Follow Share plz explain in answer why not c 0 votes 0 votes Aishwarya Gujrathi commented Feb 5, 2018 reply Follow Share Even using 2 to 1 mux, any logic gate can be generated. The why not c is the answer? 0 votes 0 votes habedo007 commented Feb 16, 2018 reply Follow Share MUX is also functionally complete: https://gateoverflow.in/1487/gate1999-2-9 2 votes 2 votes Ollie commented Jul 5, 2020 reply Follow Share 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 votes 1 votes Please log in or register to add a comment.