3. (5 points) Draw the simplest possible logic (fewest gates) for the following expression. (Any of the logic gates we covered in class can be used. Gates with more than 2 inputs can be used.) X = (~(I & ~J) & (Y |~Z)) | ((I & ~J) & ~(Y | ~Z))
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- Consider the circuit below. The switches are controlled by logic variables such that, if A is high, switch A is closed, and if A is low, switch A is open. Conversely, if B is high, the switch labeled is open, and if B is low, the switch labeled is closed. The output variable is high if the output voltage is 5V, and the output variable is low if the output voltage is zero. a. Write a logic expression for the output variable. b. Construct the truth table for the circuit. A Logic 1 5V(+ B C Logic 0 RQ1. (a) Design the transistor-level circuit diagram for a single static CMOS logic gate which implements the logic function: O/P=A+B+С· D where A, B, C and D are the logic gate inputs and O/P is the logic gate output. Note: You need to describe and explain the steps you have followed in your approach to design the circuit diagram (e.g., by inspection and/or by Boolean algebra manipulation). (b) Complete the following 6-input CMOS logic gate designs by including the missing pull-down or pull-up path and derive the combinational logic expression they implement: Voo DQ10 FQ12 A-Q7 B-Q8 c-Q9 E-Q11 ? ? VDD Complete the logic gate design by including the missing pull-up path O/P O/P CH[Q3 FQ6 B-CQ2 Complete the logic gate design by including the missing pull-down path DQ4 EQ5 A-Q1 Vss Vss Fig. 1 Fig. 2 Hint: Use the design rules we discussed in lecture 2 regarding static CMOS logic gates. Then, once you do come up with a solution, double check whether it is correct by ensuring that it does…Please answer this question with as much details possible, so I can understand. This is for Electrical Engineering.
- Using the analysis technique where you first extract the truth table and then use it to derive the output’s logic expression, analyze the circuit. Record your results below. I added the circuit as an image Conclusion In your own words, describe the process used to analyze a logic circuit where you first extract a truth table and then derive the logic expression. 2.Again, in your own words, describe the process used to analyze a logic circuit where you first extract the logic expression and then derive the truth table.Design the following combinational logic circuit with a four-bit input and a three-bit output. The input represents two unsigned 2-bit numbers: A1 A0 and B1 B0. The output C2 C1.C0 is the result of the integer binary division A1 A0/B1 B0 rounded down to three bits. The 3-bit output has a 2-bit unsigned whole part C2 C1 and a fraction part CO. The weight of the fraction bit CO is 21. Note the quotient should be rounded down, i.e. the division 01/11 should give the outputs 00.0 (1/3 rounded down to 0) not 00.1 (1/3 rounded up to 0.5). A result of infinity should be represented as 11.1. A minimal logic implementation is not required. (Hint: start by producing a truth table of your design).a) 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?
- answer this plss the subject is logic circuitssa) For the given logic circuit diagram write the program by using the gate level modeling. b) For the given truth table write the program by using the data flow Modelling. c) Write the test bench of the given logic circuit with all possibilities Y1 Y2 Y3 Y4 Y5 Y6 Y7 A2 A1 A02.1 Combinational logic circuits. Tabulates a truth table for the following Boolean expression shown in Equation 1.1. f = A.B.C + A.B.C + A.B.C (1.1) 2.2 Half adder. A half adder is a circuit that adds two binary digits, A and B. It has two outputs, sum (S) and carry (C). The carry signal represents an overflow into the next digit of a multi-digit addition. Figure 1.2 depicted a logic diagram for a half adder. a. derives the Boolean expression for s and c. b. tabulates a truth table for the half adder. Ao Bo Figure 1.2: Half adder os S C
- Consider the design of two logic circuits that both have four inputs: A, B, C and D; and one output: X. Each circuit is implemented using 4-input AND gates (with negated inputs) and an OR gate to generate the output. For circuit 1, X is defined to be 1 if and only if the binary representation of A, B, C and D is even. Note A is the most significant bit, then B, then C, and Dis the least significant. For circuit 2, X is defined to be 1 if and only if the total number of 1's among A, B, C and D is even. Which of the following 4-input gates would be used in the implementation of both circuits?A. One way to think of the basic logic gate types (all but the EXOR and EXNOR) is to consider what single input state guarantees a certain output state. For example, we could describe the function of an OR gate as such: “Any high input guarantees a high output.” Identify what type of gate is represented by each of the following phrases: a) Any high input guarantees a low output. b) Any low input guarantees a high output. c) Any low input guarantees a low output.Design a combinational circuit with four input lines that represent a decimal digit in BCD and four output lines that generate the 9's complement of the input digit. Provide a fifth output that detects an error in the input BCD number. This output should be equal to logic 1 when the four inputs have one of the unused combinations of the BCD code. Provide a schematic logic diagram of it. It will surely help me in my review. Thank you so much!

