Digital Logic || 2025 MSQ || 2-mark || Module 2: MINIMIZATION

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Let X  be a 3-variable Boolean function that produces output as '1' when at least two of the input variables are '1'. Which of the following statement(s) is/are CORRECT, where a,b,c,d,e  are Boolean variables ? [GATE|| 2025 ||SET 2||MSQ || 2-mark ]

X(a,b, X(c,d,e))=X(X(a,b,c),d,e)

X(a,b,X(a,b,c))=X(a,b,c)

X(a,b,X(a,c,d))=(X(a,b,a)  AND  X(c,d,c))

X(a,b,c)= X(a, X(a,b,c),X(a,c,c))

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