1a. Prove by the truth table that the right hand ude of the followine equations is egual to the left hand Soe, PQ(RS + RS) = PQRS + PORS AB + CD = AB.CD XY + XYZ = XY
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- 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.Q2/ (a) From the expression X = ( ((AB*+C)(AC+B*))*+A ) where '*' indicates the complement (i) Draw the logic diagram? (ii) Write the truth table? (b) For the product of maxterm expression Y(A, B, C)=ΠM (0, 1, 3, 5, 7), write the Standard POS expression (in terms of A, B, C) and draw the truth table?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.
- Answer this question, part (3). 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. Derive the Sum-of-Products (SoPs) Boolean expression for each of the circuit outputs. Using Boolean algebra, simplify the expression you obtained in Part 2 above.The function of a programming is given below: F = A'B'C'D + A'B'CD' + A'BC'D + A'BCD' + AB'C'D + AB'CD' + ABC'D + ABCD' (a) Translate a function given above into a truth table with F as the Output.(b) Simplify the F function above.(c) Determine the logic gates required for the function.(d) Draw the logic gates based on the solution in (c).Course: Digital logic design DLD Please solve it on emergency basis: Express the following function as a given notation term form of minterm SOM . Also simplify the expression using boolean algebra and draw yhe logic diagram of simplified expression F(A,B,C)= A'B'C'+A'BC+AB'C'+A'B'C'+ AB'C+ABC
- The car will not start (S = 0) whenever the following conditions arises: (I) The key is not inignition (A), or (II) the front doors (B) or back doors(C) are not locked properly, or (III) the seatbelt of driver is not locked properly (D). The key in ignition, locked doors, and locked seat beltproduces the output HIGH. Obtain the truth table and minimize the Boolean function usingBoolean algebra. Implement the logic circuit using the suitable logic gates.Create a Truth Table of the functions below and express each function into SOP and POS, as well as the logic circuit: a) F2 = (AC'+CD') .B(C'+AD) b) F3 = (AB+C') (A+CD') Solve subparts a,b thank uA 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.
- A coin-operated cold drink dispenser will provide cold drink (D) under the following conditions: The correct coin (C) is inserted AND A paper cup is in position (P) AND The selector is set t Orange (O) OR Sprite (S) OR Lemonade (L) Write the Boolean expression for the output of the dispenser. Represent the operation of the dispenser in logic circuit 4 get a logic circuit to mimic aorporate checquing system for operatore of a compnnyDesign circuit that has an input w and an output z. The circuit is a sequence detector that produces z = 1 when the previous two values of w were 00 or 11; otherwise z = 0. Use W=0101100010101110101011100010 a) For this problem design the circuit using JK flipflops, draw the state diagram, true table, logic circuit.Act 1 problem solving this is a logic circuits and design laboratory subject please help me with this and screenshot all the solution and answers 2. What is the largest binary number that can be expressed with 16 bits? What are the equivalent decimal and hexadecimal numbers? Answer: 16 bits = ________= _______10 = ______16 3. Represent the decimal number 6,248 in: (a) BCD = (b) excess‐3 code = (c) 2421 code =