Design a combinational circuit with three inputs and one output. Follow the steps in designing a combinational circuit and show your solution. a. The output is 1 when the binary value of the inputs is less than 3. The output is 0 otherwise. b. The output is 1 when the binary value of the inputs is an even number.
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- Design a combinational circuit that increments the 4-bit binary input. The output of the circuit is also represented as 4 bits. For example, if the input is 0011 then the output is 0100. Note: the increment of 1111 is 0000. Let the input variables be A, B, C, and D, while the output variables be W, X, Y, and Z. What is the boolean function (in sum of minterm format) of output W? What is the boolean function (in sum of minterm format) of output X? What is the boolean function (in sum of minterm format) of output Y? What is the boolean function (in sum of minterm format) of output Z?Function f (A,B, C, D) is a function of integer greater than 0 and multiple of 3 less than 16. The input A,B,C,D is 1 or 0. a. Make the truth table b. Simplify the function. You may use Boolean Algebra or Karnaugh Map c. Sketch a combinational circuitDesign a combinational circuit with three inputs and one output. (a)* The output is 1 when the binary value of the inputs is less than 3.The output is O otherwise. (b) The output is 1 when the binary value of the inputs is an even number.
- 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?Function f (A,B, C, D) is a function of prime number less than 16. The input A,B,C,D is 1 or 0. a. Make the truth table b. Simplify the function. You may use Boolean Algebra or Karnaugh Map c. Sketch a combinational circuitWe consider a circuit having four inputs and one output. The output has the value 1 if at least half of the inputs have the value 1. In this case, the circuit is a not-a-minority circuit. 1) Build a truth table for the circuit presented in the description above. 2) Using this truth table, find a Boolean expression which represents the same function, and by using Boolean algebra, simplify it as much as possible. 3) Verify the design of the circuit.
- Consider a circuit that takes the numbers 0 through 7 as inputs (0=000,1=001, 2=010, ..., 7=111) and produces an output of 1 if and only if the input is an odd number). a) Draw the truth table b) Write the function c) Simplify the function1. Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (A + B)č. Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (AB)(BC). Write the Boolean expression that is equivalent to the following circuit. D 2. Use the Word table tool to construct the truth table for this circuit. Be sure to include intermediate values. Insert columradings in the first row. Be sure to use the Insert > Equation tool so that standard Boolean logic symbols are displayed in the headings.1. Design a combinational circuit with three inputs and one output. The output is 1 when the binary value of the input is less than 3. The output is 0 otherwise. Show truth table. 2. Design a combinational circuit with three inputs x,y,z and three outputs, A,B, C. When the binary input is 0, 1, 2 or 3, the binary output is one greater than the input. When the binary input is 4,5, 6 or 7, the binary output is one less than the input. Show truth table.
- We want to design a circuit to detect prime numbers.The input of the circuit is a 4-bit binary number and the output is a single bit and should show one when the number is prime and zero otherwise.A. Construct the truth tableB. Implement the circuit using a 4× 1 multiplexer and combinational logic gates.C. Implement the circuit using only one decoder and one OR gate. What is the size of the decoder you use?Simulate the following circuit and write the truth table * A B. C- Simulate the following circuit and write the truth table A CA combinational circuit is one in which the output depends on the Select one: a. Input combination at that time and the previous input combination O b. Input combination and the previous output O. Present output and the previous output O d. Input combination at the time