According to Consensus Theorem in Boolean Algebra, what is A.B + A'.C + B.C equal to?
The Consensus Theorem states that AB + A'C + BC = AB + A'C. Here, BC is the redundant consensus term.
How many cells are present in a Karnaugh Map for a 5-variable Boolean function?
Number of cells in K-Map = $2^n$. For n = 5 variables, 2^5 = 32 cells.
In standard canonical Product of Sums (POS) form, how is a maxterm represented for variables A = 1, B = 0, C = 1?
In maxterm notation, a variable value of 1 is represented in complemented form (A'), and a value of 0 is uncomplemented (B). Hence, A=1, B=0, C=1 corresponds to (A' + B + C').
In standard canonical Sum of Products (SOP) form, how is minterm m5 represented for 3 variables A, B, C?
Index 5 in binary is 101. For minterm notation, 1 is uncomplemented and 0 is complemented. A=1, B=0, C=1 gives minterm m5 = AB'C.
Which of the following Boolean expressions represents an XOR operation?
XOR Y = A'B + AB'. Expanding (A+B)(A'+B') gives AA' + AB' + A'B + BB' = 0 + AB' + A'B + 0 = A'B + AB'. Expanding (A+B)(A.B)' = (A+B)(A'+B') = A'B + AB'. So all (A), (B), and (C) represent XOR.