Design a 4-bit combinational circuit that outputs its Gray code for the odd inputs and two's complement for the even inputs. Use don't care for those that are not applicable. Include the truth table, simplified equation, and decoder implementation
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- 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.DISCUSSION: 1- Is the Gray code arithmetic code? Why? Where this code usėd? 2- What is the parity bit? 13- Design five - bit odd parity checker? 4- a) What are the main applications of the comparator? /b) Design two – two bit comparator. -5- Convert five.bit Gray to binary code, write truth table and draw the circuit diagram. 2-54. Use the Word table tool to construct the truth table for this circuit. Be sure to include intermediate values. Insert column headings in the first row. Be sure to use the Insert > Equation tool so that standard Boolean logic symbols are displayed in the headings. A B. D In the circuit implementation of an 8-bit adder, explain why the carry bit connection of the least- significant bit is connected to ground. Explain in words what values for A, B, C, D, E will cause a 1 to appear at point X. A B E
- Design an 8-to-1 multiplexer using 4-to-1 and 2-to-1 multiplexers only. you will need to provide truth table, logic expression and circuit diagram.Create a circuit to generate odd parity bit for a 3-bit code. a. Construct the truth table. b. Use K-map to simplify the circuit. c. Draw the circuit with minimum number of gates. (I did the question myself, but I'm confused as to why the K-map does not provide the simplified circuit to build the minimum number of gates)Convert the following pairs of decimal numbers to 6-bit, signed 1's-complement binary numbers and add them. State whether or not overflow occurs in each case. (Please show the steps as we did in Lecture 2. You may not get points by just simply stating overflow or not) a) 8 and 23 b) -8 and 23 c) 18 and -23 d) -18 and -23 Repeat Problem #1 for 7-bit, signed 2's-complement binary numbers.
- Q4: Need Asap please 0. Write Boolean expression For each Row in Table.1. Draw a k-map table based on the logic/truth table above. explain how you make k-map.2. Group the implicants (those 1s inside the k-map table) accordingly. Allowed groupings are 1, 2, 4, 8, 16, …, n.3. Write the Boolean expression based on the k-map table.4. Draw the logic gates diagram of the Boolean expression. Note:- please Solve with complete explanation.I Need step by step with explanation as I*m beginner in K-Map. will Surely Upvote. Will appreciate if Handwritten Solution.Solve the problem and simplify the output function using Quine–Mc Cluskey Methods. The following requirements must be met in solving the problem. Requirement:a. Truth Tableb. Timing Diagramc. Quine – Mc Cluskey Method d. Logic Diagram A private company wants to decide on a certain issue. Each of the four officials has an equal share of voting right. At least two of them must approve the solution in order to implement it. Each of them has a switch which closes to vote YES and open to vote NO.We want to perform subtraction operation in which we need a full subtractor. First draw Truth table for full subtractor. Due to pandemic you are unable to get the desire component. but you have only eight- to-one multiplexers with you. What do you think, can you still perform subtraction operation with multiplexer or not? If yes, draw the logic circuit.
- Required: 0. Write Boolean expression For each Row in Table.1. Draw a k-map table based on the logic/truth table above. explain how you make k-map.2. Group the implicants (those 1s inside the k-map table) accordingly. Allowed groupings are 1, 2, 4, 8, 16, …, n.3. Write the Boolean expression based on the k-map table.4. Draw the logic gates diagram of the Boolean expression. Note:- please Solve with complete explanation.I Need step by step with explanation as I*m beginner in K-Map. will Surely Upvote. Will appreciate if Handwritten Solution.Question 4: For the number display below, we would like to identify Boolean expression for LEDS (outputs a through g2) that indicate numbers 11, 14, and 15. a. Please write the Boolean expressions for the two LEDS (outputs a through g2) based on the input signals So to S3. You do not need to simplify the Boolean expressions. b. Please draw the logit circuit for outputs a through g2 a2 Logic circuit 2. 88 5,5,5,50Design a binary multiplier that multiplies two 8-bit binary number by following design rules thatshown in class. The Q and B are the two separate 8-bit binary inputs, C is the 3-bit sequence counterand R is the 16-bit result. (Note: Explain the registers that you will use to establish given process.) The steps are writing algorithm Drawing circuit undetailed (Just use the box, which have only writin under that their functions) Draw logic circuits one by one showing the internal structure of the boxes. Mahe flow chards for registers