2. Design a combinational logic circuit for 4-input majority circuit. A majority circuit is one which produces a HIGH (1) output when three or more inputs are HIGH (1). i. Construct the truth table and simplify the Boolean expression into SOP and POS forms using K-map. ii. Construct the logic diagram using AND-OR gate network with simplified SOP expression. iii. Construct the logic diagram using OR-AND gate network with simplified POS expression.
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- a) Create a 4 Variable Karnaugh Map in paper by mapping 1’s for given standard SOP Boolean expression. After mapping , make relevant groups within Karnaugh Map by considering rules for making groups for 4 variable Karnaugh Map. After making relevant grouping , extract the minimum SOP expression by considering rules for extracting minimum SOP using Karnaugh Map. * Standard SOP: *Create Circuit Diagram using logic gates and logic converter in Multisim for given standard SOP and minimum SOP which you have solved. Do make sure that truth table for both expressions should evaluate same result.An X-input exclusive-OR gate and a Y-input exclusive-OR gate (where X=3, Y=4 have their outputs connected to a 2-input exclusive-NORgate. Do the following:a) Draw the logic diagram and analyze the logic expression of the output (in standard SOPform).b) List out all essential prime implicants.1-Using the Karnaugh Method, design and draw the circuit of the logic circuit that gives the result of the multiplication of the two-bit numbers "AB" and "CD" according to minterms (SOP). Do not make any further simplifications before or after the Karnaugh Method. In tables and Karnaugh, ensure that the least significant bit is on the far right and the entries are sorted alphabetically. Make sure that the circuit you have drawn is understandable, the function you have written and the truth table are readable.
- Design a logic circuit with four inputs and one output that will produce "l" in the output only if the input patterns have odd number of zeros. a) Write the Boolean equation for the circuit in the simplest SOP form. b) Draw the logic circuit for the above equation in its simplest form. c) Re Design the logic circuit using NANI) gates only?Logic Gates:* 7404LS (NOT)* 7408LS (AND)* 7432LS (OR)* 7400LS (NAND)* 7402LS (NOR)* 7486LS (EX-OR)Or you can use 74HCxx versions. Task 2: 4 INPUT PRIORITY ENCODERa) Write the truth table.b) Find the outputs in terms of min terms using minimal expression.c) By using K map, find the simple/simplest expression of theoutputs.d) Draw the circuit diagram. (Simulation design will be accepted.)e) Simulate the circuit & explain your results. (Please do notdesign separate simulations for each output. You should design ONEsimulation including all inputs and outputs.)19: Select a suitable example for for combinational logic circuit. a. De-multiplexer b. Latches c. PLA d. None of the given choices 20: Random Access memory and Read Only Memory are semiconductor material Select one: True False 21: Decoder is a digital circuit which comprises both logic gates and memory elements. Select one: True False 23: Karnaugh Map can be drawn directly from maxterm (product-of-sums) Boolean expressions. Select one: True False
- 1. Gray code to Binary converter: Gray code is one of the codes used in digital systems. It has the advantage over binary numbers that only one bit in the code word changes when going from one number to the next. (See Table 1). Design a combinational circuit with 4 inputs and 4 outputs that converts a four- bit gray code number into an equivalent four-bit Binary number. Use Karnaugh map technique for simplification. Use LogicWorks for pre-lab demonstrations. Select the library "7400dev.clf* in the Parts Palette and then select the XOR chip 74-86. This would give you a set of 4 XOR's as shown in Fig. 1, just like the hardware chip 74-86. You could use as many as needed from these XOR gates in your design. Get back to ALL LIBRARIES and select switches for the inputs and Binary Probes as indicators of the outputs. Verify your design in the pre-Lab. During the Lab construct the circuit and verify its operations.A full adder takes three inputs, A, B, Cin, and produces two outputs, S, Cout. Explain the logic equation for the sum and carry-out bits. How can you implement this full adder using half adders?From the BCD code whose block diagram is given in the figure below, you can find the 7-segment LED display (with common anode) code. Solving combinational logic circuit will be designed. This type of commercially produced decoder is integrated State the features you consider important by researching the circuits. BCD input at the output of the decoder For the 0-9 values of the information information, the following indicator figures will be seen and the values other than these it will be considered arbitrary. Since the 7-segment LED display has a common anode, The logic "0" will be applied to the burned parts. Draw this circuit.
- From the BCD code whose block diagram is given in the figure below, you can find the 7-segment LED display (with common anode) code. Solving combinational logic circuit will be designed. This type of commercially produced decoder is integrated State the features you consider important by researching the circuits. BCD input at the output of the decoder For the 0-9 values of the information information, the following indicator figures will be seen and the values other than these it will be considered arbitrary. Since the 7-segment LED display has a common anode, Logic "0" will be applied to the burned parts. The accuracy of the logic circuit you will design Create the table and find the output expressions by shrinking the table with the Karnaugh diagram method.4. A combinational logic circuit has four inputs and one output. The output is 1 if and only if the decimal number represented by the inputs in binary code is a prime number. i. Construct the truth table and simplify the Boolean expression into POS form using K-map. ii. Construct the logic diagram using OR-AND gate network with simplified POS expression iii. Construct the logic diagram using only NOR gates with simplified POS expression.We want to design a circuit to detect prime numbers.The input of the circuit is a 4-bit binary number and the output is a single bit and should show one when the number is prime and zero otherwise.B. Implement the circuit using a 4× 1 multiplexer and combinational logic gates.C. Implement the circuit using only one decoder and one OR gate. What is the size of the decoder you use?