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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- Q19/ a combinational circuit has four inputs (A, B, C, D), which represent a binary- coded- decimal digit. The circuit has two groups of four outputs S, T, U, V, and W, X, Y, Z each group represents a BCD digit. The output digits represent a decimal number which is 1 more than four times the input number. For example if ABCD=0011, the output are 0001 0011. Assume that invalid BCD digits do not occur as inputs. a- Construct the truth table b- Write minterms and max terms for all output C- Find SOP and POS for all outputQ4// Design a combinational circuit with three inputs, A, B, and C, and three outputs,x, y, bläi 10 and z. 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 two * less than the input1. Your goal is to design a circuit which has as input a number 0-9 represented in binary form. The inputs are labeled A, B, C, D where A is the most significant bit. 10-15 represent "don't care" conditions. The output is the sum of 3 and the input represented in binary form. The outputs are labeled W, X, Y, Z where W is the most significant bit. a. Create a truth table for the circuit. b. Complete the Karnaugh maps for W and Y, minimizing the Boolean functions. Blank K-maps are attached. Write the Boolean equations for W and Y from the K-maps. с. 2. Implement the following truth table directly (without any minimization) using a PLA. Properly label the inputs and outputs. Inputs Outputs A C D X Y 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
- 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?Two teachers (A, B) will grade two questions in an exam. Tacher A will grade question 1 which is 60 points. Teacher B will grade question 2 which is 40 points. Teachers can give the points as below: Teacher A → 0, 20, 40, 60 Teacher B → 0, 20, 30, 40 If a student takes 60 or more, he/she will be successfull. Design the circuit by using ROM1. 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. 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)T 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. B. D.Q6: - binary number (e.g., 101 → 100. Also, 000 → 111): a) Show the truth table. b) Show the Boolean expressions for the outputs in SoP. c) Design an efficient circuit using NAND gates only. Design a 3-bit DECrementor, that is, the cicuit generates the previous number of the input7.The number of bits counter in the circuit given below is given in which option is correct.
- 8. For the following circuits, find a Boolean expression and construct the truth table. a) A B b) A B. N5. The maximum number of output states an 1-bit comparator could have is: b.2 а.1 с.3Based 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?