#4 Given the Boolean function F(A,B,C) = A'C + A'B + AB'C + BC, a) construct...
Simplify the following Boolean function: F(A,B,C) = B'C' + A'C + AB'C with don't care terms = ABC + A'BC: O A'+C AB+C O AC O AC O A'(B'C)
Fill in the truth table for the following expression: bd' + acd' + ab'c + a'c'" and there is truth table has column a,b,c,d,F.
simplify the boolean expression: F= (A+B).(AB' + AC).(A'C' + B')
1. Simplify the following Boolean expression: (solution should be one term) XY+XY 2. Simplify the following Boolean expression: (solution should be one term) (X+Y)(X+Y)(X'+Z”) 3. Simplify the following Boolean expression ABC+ABC'+AB'C+AB'C' 4. Simplify the following Boolean expression AB +A'C +BC 5. Simplify the following Boolean expression. (A+B)(AB)
Q2) The following is a Boolean expression of a Combinational Logic Circuit. Construct the truth table and a Combinational Logic circuit using AND, OR and NOT logic gates for the Boolean expression. Redraw the logic circuit using only NAND gates. 19 Marks) X = A B C +ABC + ABC
Simplify the following function using a K-Map: F(A, B. C, D) = AC'D' + A'C+BC' +CD+A’BD'
A truth table for the Boolean function F is shown below. ldentify all of the terms that would be ORed together to form the Boolean expression for F A B C F 0001 0 0 11 011 0 10 0 0 1 1 0 0 A. ABC B. AB'C C. ABC D. A'BC E. AB'C F. AB'C G. ABC H. ABC
2.18 For the Boolean function F = xyz + x'y'z + w xy + wx'y + wxy (a) Obtain the truth table of E (b) Draw the logic diagram, using the original Boolean expression. (c) Use Boolean algebra to simplify the function to a minimum number of literals (d) Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a). (e) Draw the logic diagram from the...
. (a) Construct the truth-table for the Boolean function given by the formula A)). (3 marks) BJA (C (b) Find a Boolean circuit with AND, OR and NOT gates only that computes the Boolean function in (a) above and contains as few gates as possible. (4 marks) -((A (c) Determine whether the formula in (a) is equivalent to the formula (BA) (CA-A).
For the following functions and using Boolean identities a) Simplify the given functions b) Construct the truth table for both of them showing the output of the original function and the simplified one and compare the two outputs? c) Draw the logic circuits for both the original function and the simplified one? 1. FIX, Y, Z) = X'+Y' + XY'Z 2. F(X, Y, Z) = (X+Y)(X' +Y+Z)