Computer Science
Convert the following cardinal form of expression into canonical form:
F(P, Q, R) = π(1, 3)
Boolean Algebra
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Answer
Binary of 1 is 001: P + Q + R'
Binary of 3 is 011: P + Q' + R'
Canonical form:
(P + Q + R').(P + Q' + R')
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Related Questions
In the following truth table x and y are inputs and B and D are outputs:
Input Output x y B D 0 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 Answer the following questions:
(i) Write the SOP expression for D.
(ii) Write the POS expression for BState the principal of duality. Write the dual of:
(P + Q').R.1 = P.R + Q'.RA combinational logic circuit with three inputs P,Q,R produces 1 if and only if an odd number of 0's are inputs.
- Draw a truth table.
- Derive a canonical SOP expression for the above truth table.
- Find the complement of the above derived expression using De-Morgan's theorem and verify whether it is equivalent to its POS expression or not.
Minimize the expression using Boolean laws:
(A + B')(B + CD)'