6. In a(n) circuit, the input values explicitly determine the output. 7. In a(n). existing state of the circuit. circuit, the output is determined by the input as well as the 8. A circuit that computes the sum of two binary digits, taking the input carry bit into account, is called a(n) 9. A(n) based on select signals is a circuit that selects a single output value from a set of inputs 10. A S-R latch is a circuit that can be used as
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- A Gray code is a sequence of binary numbers with the property that no more than 1 bit changes in going from one element of the sequence to another. For example, here is a 3-bit binary Gray code: 000, 001, 011, 010, 110, 111, 101, and 100. Using three D flip-flops and a PLA, construct a 3-bit Gray code counter that has two inputs: reset, which sets the counter to 000, and inc, which makes the counter go to the next value in the sequence. Note that the code is cyclic, so that the value after 100 in the sequence is 000.Based on the following image answer the following questions; a. Write a boolean algebra expression for each of Q0, Q1, Q2, and Q3: b. Draw a circuit that produces each of the functions from a single set of inputs A1 and A0: c. Each input combination of A1 and A0 represents a 2-bit binary number. How is this related to the outputs?Design a circuit that takes three bits, X2, X1, X0 as input and produces one output, F. F is 1 if and only if 2<=X<=5 when X = (X2, X1, X0) is read as an unsigned integer. For example, if X2=1, X1=0, and X0=0, then the unsigned binary value is 100, which is 4, so the output would be 1. Your Assignment For This Problem Includes the Following Design the necessary circuit using Logisim to implement the situation described above. Use Kmaps for simplification. Be VERY careful to get the correct functions for your output before simplifying and designing the circuit with Logisim. You should minimize the circuit. Your circuit should have three inputs and one LED output. All inputs (X2, X1, X0) and output (F) should be labeled (in Logisim, not by hand). Please use these names to indicate the inputs and output so all projects are consistent. You should also include your name as a label on the circuit. Test your circuit to be sure it is working correctly.
- Build a circuit that takes four bits as input: W, X, Y, Z. Treat WX as a 2-bit unsigned binary number, and treat YZ as a second 2-bit unsigned binary number. Your circuit should generate the output corresponding to the product of WX and YZ. You will need 4 bits of output for this problem.For example, if your input was 1011, your inputs correspond to 2 and 3. That product is 6, so your output will be 0110.Create a truth table for this problem, show all k-maps and minimizations, and build the corresponding (minimized) circuit. Use XOR, XNOR, NAND, and NOR as appropriate if it reduces the number of gates used.We want to design a circuit that counts the number of 1s present on 3 binary inputs a, b, c and outputs that number in binary using 2 outputs y and z. For example an input of a=1, b=1, c=0 has two ones, so the output would be 210 = 102 i.e., y=1, z=0. a) Express y and z as sum of min‐terms of variables a, b and cb) Simplify the expressions for y and z using K maps.c) Draw the logical circuits for y and z using gates.In this problem, you should design a two-bit comparator. This circuit should have three outputs named l, g, and eq. The circuit should get two digits binary numbers (00, 01, 10, 11), and the output should change based on these rules:• If first number > second number then g = 1, l = 0, and eq = 0• If first number < second number then g = 0, l = 1, and eq = 0• If first number = second number then g = 0, l = 0, and eq = 1Your circuit will have 4 input (2 bit for the first number, and 2 bits for the second number)a. Draw the truth table for the comparator for unsigned numbers b. Show the circuit.
- Implement the following Boolean function with a 4 X 1 multiplexer. Use A, B, as selection lines, C and D input lines. F(A,B,C,D)= ∑(1, 3, 4, 11, 12, 13, 14, 15)A video system can take videos from one of the two video sources, but can only display one source at a provided time. Each source outputs a stream of digitized videos on its 8-bit output. A switch with a single-bit output determines which of the two 8-bit streams will be passed on a display’s single 8-bit input. Implement a circuit that combines the two video sources, the switch, and the display. Use either ONE of the following: a single mux AND/OR an N-bit mux decoderWrite a C++ program that calculates the XOR gate of binary, use the XOR() – a function that performs bitwise operation XOR Sample Output Enter First Number: 10111 Enter Second Number:11111 THE RESULT IS: 1000
- Q1) Identify the circuit that performs the following function :What is the size of my multiplier if I want a maximum output of 6-bits? create a diagram. Implement a circuit for the following problem using Logisim. The input to the circuit are 3 4-bit numbers, A,B,C. The sum of A and B is subtracted from C. The difference (result of subtraction) is compared with A. The circuit has 3 outputs lines depending on comparison. Use appropriate chips in Logisim for the operations mentioned Answer step by step