The following Boolean function Y=KA,B,C,D,E)= Em(0,1,2,5,7,8,11,12,13,14,16,20,21,22,23,25,27,28,30,31 ) Design the function with minimal logic gates by using: Map entered variable (MEV) Technique when, E is entered variable.
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- A combinational logic circuit that compares between two 2-bit numbers A (A1 A0) and B(B1 B0) is designed. Output F is high when ? > ? and low when ? < ?. 1) Are there any undefined outputs? If there are any undefined outputs what are the inputs?Design a 3-bit counter that counts the following sequence: 7,5, 3. 1.0.7, 5. 3, 1, 0, 7. etc. Using the sequential design technique that starts from a state diagram, draw the state table. minimize the logic. and draw the final circuit. The outputs of logic circuit are 2 = Qo Q1. I, = Qo.Qi + Qo.Qi, Io = Qo.Q2, Cont2 = Qj Q2 Cont1 = Qu Q2. Cont0 = Q2 Qo.Q1. h = Qo.Qi + Qo.Q1, Io = Qo Qz Cont2 = Q, Q2 Contl = Qo Q2 Cont0 = Q2 Qo Qı Ij = Qo.Q, + Q».Qı, Io = Qo. Q2. Cont2 = Qj Q2. Contl = Qo.Q2. Cont) = Q2 L = Qo.Qı. I¡ = Q. Qj + Qu Q Io = Qv.Qz Comt2 = Q, Q, Contl = Q Q2 Cont0 = Q2 !! fefsto How much will be per-product cost and thAn 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.
- Apply Karnaugh map to design a logic gates circuit for the following conditions : a- When the input of the circuit greater than (4 ) and (equal to or less than 7) b- When the input of the circuit greater than (20) and (has even number of 1’s) c- Invalid case when input equal to (21) and (31)Create 8-bit adder/subtractor logic diagram using gates and explain the working of the gates in detail.Using full adders in block diagram, other needed logic gates. Show the design of a circuit that performs A – B based on using 2's complement arithmetic where A and B are two unsigned 4-bit numbers. State the condition for error in your design.
- 2. Design the following Boolean function using appropriate Multiplexer and logic gates F(A, B, C, D) = E(1, 3, 4, 5, 6,10, 11, 12, 13, 14, 15) IIa) Design a logic circuit with three inputs A, B, C and an output that goes LOW only when A is HIGH while B and C are different. Draw and upload the circuit if you can, or at least describe it in words. b) Which logic gates produce a 1 output in the disabled state? c) Which logic gates pass the inverse of the input signal when these gates are enabled? d) What is the normal resting state of the SET’ and RESET’ inputs of a latch circuit (the prime is same as bar)? What is the active state of each input? e) What is the normal resting state of the NOR latch inputs? What is the active state?d) Draw the schematics of 4-bit synchronous and asynchronous MOD-8 counters and comment on their pros and cons. e) Calculate the noise margin for a logic gate with the following logic levels: VIL = 1.1 V, VIH = 3.2 V, VOL = 0.6 V, VOH = 4.0 V.
- Convert the following logic gate circuit into a Boolean expression, writing Boolean sub-expressions next to each gate output in the diagram: C DDLogic 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.)In this assignment, you are required to design a circuit that counts and displays the sequence of the number 010430011092 . The number will then be displayed on a 7-segment display and changed every 1 second. The block diagram is as shown in Figure 1. Construct your design as follow: - (a) Design a combinational logic circuit that converts binary number to a sequence of the number 010430011092 and to be displayed on a single common anode 7-segment display. The logic circuit must be designed using 2-input NAND gate