Design a logic circuit using an RCA, MUX and one logic gate (you need to figure out which gate) that does the following:Adds two 4-bit binary numbers (A and B), outputs a single bit.The single bit output indicates whether the summation of $A$ and B is even or odd if the summation is greater than 15. Output equals 1 if odd; 0 if even. If the summation of A and B is 15 or less, the single bit output indicates whether input A is divisible by 4. Single bit output equals 1 if A is divisible by 4; 0 if A is not divisible by 4.
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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?Expert Q&A Done Design a combinational logic circuit that converts a 4-bit binary number into its corresponding 2's complement representation. For example, if the 4-bit number is "1111", the outputs should be "0001". Similarly, if the 4-bit number is "0000", the outputs should be "0000" Please complete the following truth table. Input 4-bit number 2's complement of the input number B s1 S2 S3 S4 ill out the following K-maps and then write down an optimized equation for S1, S2, S3, and S4, respectively. Hint: the equation of S4 can be immediately determined by inspecting the truth table. S1 52 53Construct a TM Transducer that outputs the following:a. Given the input x ε {1}^+, the TM outputs xx. Use the following logic: start reading the first 1, change to X and go to right to find the blank space, change it to Y. Come back, find the 1 after X and repeat the process. When no 1 is found after reading a X and found reading Y instead, change all X & Y to 1 and move back left to read the blank space with the final state. b. Given the input x ε {1}^+, the TM outputs x mod 3. Write the transition rules and explain the logic
- 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 output1. 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 1A combinational circuit has 3 inputs A, B, C and output F. F is true for following input combinations, (i) A is False, B is True (ii) A is False, C is True (iii) A, B, C are False (iv) A, B, C are True Find the simplified expression for F in SOP form. Select one: O a. F=A'+BC O b. F=A'+B O c. F=A'+BC' O d. F=BC
- 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?Design a combinational circuit with three inputs x, y, and z, and three outputs, A, B, and C. When the binary input is 0, 1, 2, or 3, the binary output is one greater than the input. For example, if the inputs are 000, the outputs are 001. When the binary input is 4, 5, 6, or 7, the binary output is two less than the input. For example, when inputs are100, the outputs are 010. Show the truth table for the inputs and outputs. please show all steps , dont just explainQI: A: Design an arithmetic circuit with one selection variable S and two n-bit data inputs A and B. The circuit generates the following four operations in conjunction with the input carry Cin. Draw the logic diagram for the first two stages. S Cin Operation 0 0 0 1 1 0 1 1 A - B A +B A Add A-1
- 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 ROM5. Consider the circuit below: A- B- C- a. Write the Boolean expression modeled by the circuit. Above. Use Boolean Algebra notation: A, (for not A); AB (for A and B), A + B (for A or B), A Ð B (A xor B), etc. b. Evaluate the output of each gate, including the final gate, given that A= 1, B=1 and C=1 Write your evaluation of each gate above each gate and include a screen shot6. Design a circuit that will tell whether a given month has 31 days in it. The month is specified by a 4-bit input. For example, if the inputs are 0001, the month is January, and if the inputs are 1100, the month is December. The circuit output, Y, should be HIGH only when the month specified by the inputs has 31 days in it. Write the simplified equation, and draw the circuit diagram using a minimum number of gates. (Hint: Remember to take advantage of don't cares.)