Construct a digital system that takes in a single decimal digit and outputs the remainder when the input number is divided by 5. Construct the truth table, find the simplified expression using KMAP and finally draw the circuit of your system.
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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?4. Derive the truth table, and compute F as a Boolean expression of a, b, and c, for the Boolean function F from the circuit shown below. b' C a b a b' C a a¹ C b D t DoGive the output signals for the circuit if the input signals are as indicated. R = P Q OR NOT input signals: P = 1 and Q = 1 AND R
- 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?Find the maxterm expansion of the truth table and create a digital circuit that works with it.Computer Science: Give the correct answer with the correct work being shown You have been asked to implement a digital circuit. This circuit consists of threeinputs (X1, X2, and M) and one output (OUT). When M equals 1, OUT will equal theBoolean OR of X1 and X2. If M equals 0, OUT will equal the Boolean AND of X1 and X2.a. Construct a truth table to describe the behavior of the circuit.b. Write the sum-of-products for OUT.c. Provide an implementation of your sum-of-products. You are to use AND, NOT, andNOR gates only.
- Compute the Boolean expression for the digital circuit diagram below with the corresponding Truth table: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 circuitFrom the circuit below : A B- Cin -Cout a. From the input signal A,B,Cin draw the output signal S and Cout b. If possible, simplify the circuit and draw the simple circuit INPUTA INPUT INPUT- OUTRUT Cout
- Implement the circuit with a decoder constructed with NAND gates (similar to Fig. 4.19 in your textbook) and NAND or AND gates connected to thedecoder outputs. Use a block diagram for the decoder. Minimize the number of inputs in the external gates. 3) A combinational circuit is specified by the following three Boolean functions correctly:Draw a truth table for the circuit showing the value of the inputs (I1 and I2) and the value of the outputs (Q and Q’). Note that the outputs, Q and Q’, should (but may not always) maintain a complementary relationship. 11 Q Q 12Given the below Function: F(x, y, z) = (x+ y). (y + z) + xyz a- Draw the combinational circuit that directly implements the above Boolean expression. b- For what values of x, y, and z the output (F) will be 0? Justify your answer using a truth table.