For the logic equation Q = AB+ CD' , to make the output 1, which values of the inputs A, B, C, D must be respectively? %3D 1001 0001 0010 0011
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- Consider the Boolean expression: u = wx + yz + wx'z' + w'y. (a) Draw the Karnaugh map for u.(b) Use the map in part (a) to obtain the Karnaugh map for u'.(c) Express u' as a minimal sum of products.(d) Design a simple logic network for u'.Design a combinational logic circuit that converts a three-bit binary number from code A to code B, according to the table on the right. Answer the following questions: Code A Code B 000 000 100 001 110 010 010 011 011 100 001 101 101 110 111 111 Implement your circuit using two 2-by-4 decoders (with enables) only. Explain your implementation. You can use as many ‘OR’ gates and inverters as you need. Implement your circuit using 4-by-1 multiplexers and the fewest number of additional logic gates (if needed). Provide the complete implementation.Design a combinational logic circuit that converts a three-bit binary number from code A to code B, according to the table on the right. Answer the following questions: Code A Code B 000 000 001 001 011 010 010 011 110 100 111 101 101 110 100 111 Construct the truth table for the circuit.
- Choose a suitable BCD equivalent of a decimal number (432.56)10 3. Select a suitable logic family, which has extremely low power consumption. a) b) c) d) 0100 0011 0010.0101 0100 0100 0011 0010.0100 0110 0100 0011 0010.0101 0110 None of the abovea. Construct a Karnaugh map for the logic function F = A ¯ B C ¯ D ¯ +AB C ¯ D ¯ + A ¯ B C ¯ D +AB C ¯ D+ A ¯ BC D ¯ + A ¯ B ¯ C D ¯ b. Find the minimum SOP expression. c. Find the minimum POS expression.Draw the logic diagram of the following Boolean expression after simplifying it: A+CD+(A+D’)(C’+D)
- Design a 4-bit arithmetic circuit, with two selection variables S1 and S0, that generates the arithmetic operations in the following table. Draw the logic diagram for a single bit stage. Note that B’ represents “Not B”. Complete the following truth table.For the given Boolean function:F = ABC+ABD+A’BCD’+AB’C’+B’CD i) Find the minimal Sum of Product Expression.ii) Design the logic circuit using logic gates.Simplify the following Boolean expression after that you will have to draw a logic circuit for the simplified function using only 7 NOR gates: F(K,L,M, N) = Σ (0,3,4,8,11,13) + Σ d(5,9,12,15) Suppose you want to send a BCD number "(100100110101)BCD" to your friend and the sending device has an odd parity bit generator that can process a single BCD digit. Design an odd parity bit generator to send BCD digit and find out parity bit for given number.
- Design a PLA for implementing the following logic expression: f(A,B,C,D)=AB'+ ACD' +A'BCD'+ BC, (here A',B' and C' are complements of literals A,B and C respectively)A combinational circuit with three inputs (A, B and C) generates the 2’s complement of the input binary number as output (Note: The number of output bits may be one more than input bits). (a) Obtain the truth table (Take output as W, X, Y, Z). (b) Obtain the simplified output function in sum of products form. (c) Draw the logic diagram for simplified output function. (d) Design the circuit using decoder also.For the logic equation Q = AB+ CD’ , to make the output 1, which values of the inputs A, B, C, D must be respectively? -0 0 1 1 -1 0 0 1 -0 0 1 0 -0 0 0 1