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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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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- Design 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 registers1. 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.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.
- 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. 2-5We 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.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.
- A half adder is a circuit that adds two bits to give a sum and a carry. Give the truth table for a half adder, and design the circuit using only two gates. Then design a circuit which will find the 2's complement of a 4-bit binary number. Use four half adders and any additional gates. Hint: recall that one way to find the 2's complement of a binary number is to complement all bits, and then add 1)4. 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 ERequired: 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.
- To display the hexademical value of a 4- bit number on a 7-segement display. the LEDs of the seven segment compnent are lit with a logical "0" (actice low). The inputs are (active high). a) complete the below truth tablee for each output b) Using Karnaugh map provide the simplifed expession for each output(a,b,c,d)Design 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.Task 2: Design a Parity Bit Detector Task Description: A parity bit detector is a circuit used to check the bit parity of a set of signals. It takes as input a set of signals and generates one output signal. For an even-parity detector, the output is 1 if the parity of the input is odd (to indicate an error); and 0 otherwise. In this task, you are to design and implement an even-parity detector. Complete the truth table below. Design a 4-bit even-parity detector (3 data bits and 1 parity bit) 1. Draw the block diagram of the circuit. Inputs АВСР Output 0|0 1 1 1 1 1 1 1 1 1 1 2. Derive the corresponding Boolean expression and simplify the expression using Boolean algebra. 1 1 1 0|0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1