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).Q1. (a) Express the following logic function as a sum of minterms and as a product of maxterms, using shorthand format: F = AB+A'C'D'+ABD'+A'B'(C'+D') +A'CD' 30% (b) Simplify the above function using a Karnaugh map, and implement it using two-level logic with a minimum number of AND, OR, and NOT gates. Give the simplified logic function and draw the logic diagram. 40%
- 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 circuitss(a) A logic circuit shown in Figure Q.3 has a 4-bit input A and B, three 4-bit wide 2:1 muxes, a 4-bit adder, a 4-bit output F, and a carry flag C. For the given Table Q.3, fill in the value of output F and carry flag C for the given value of A, B, S0, S1 and S2. 51 52 1001 Flag C 0011 Figure Q.3 Table Q.3 A So S1 S2 F Flag C 0001 1000 0010 1001 1 1 0011 1101 0100 1101 1110 0111 1
- a) 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 CDesign a combinational circuit with the four inputs A,B.C, and D, and three outputs X, Y, and Z. When the binary input is odd number, the binary output is one lesser than the input. When the binary input is even number the binary output is one greate than the input. Implement the function using multiplexers with minimal input and select line.

