Construct a circuit that calculates the cube of a two-bit number solely utilizing NAND gates. Explain.
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Construct a circuit that calculates the cube of a two-bit number solely utilizing NAND gates. Explain.
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- How to build this circuit? (on Digital or Logisim) Binary-coded decimal is an alternative method of representing integers using binary. In it, each base-10 digit is represented by four bits, thus each nibble takes one of 10 values (0000 through 1001). Therefore, using BCD, 42 (decimal) is represented as 0100 0010 (binary) and 196 (decimal) is represented as 0001 1001 0110 (binary). Create a circuit in Logisim that accepts as input a pair of two-digit integers represented as BCD and outputs their sum in BCD. Any and all Digital components are fair game. You can assume that all inputs will be valid BCD-encoded numbers.Design a combinational circuit with 3 inputs and 1 output. The output must be logic 1 when the binary value of the inputs have more 1’s than 0’s and logic 0 otherwise. Use only NAND Gates. (show All the steps)3. Logic Design a. Create the truth table of a 3-input AND gate. Realize the 3-input AND operation using only 2-input NOR gates. b. Create the truth table of a 3-input OR gate. Realize the 3-input OR operation using only 2- input NAND gates. c. Using AND and OR logic gates, implement the logic function: F(x, y, z) = xy + yz + zx d. Using NAND logic gates, implement the logic function: F(x, y, z) = xy + yz + zx
- 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.B. 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?Task 2: DESIGN A 4-T0-1 LINE MULTIPLEXER BY USING THREE 2-TO-1 MUXS. CONSIDER THAT INPUTS ARE I3,12,11,10 AND SELECTIVE LINES S1,so ,GIVEN ACCORDING TO DEXCENDING SIGNIFICANCE ORDER. A) Write truth table. (Condensed version) B) Draw the logic diagram. (You can use the 2:1 MUX blocks or you can draw the circuit by using NAND & NOT GATES.) C) Simulate the circuit by using NAND & NOT GATES. Io Il (2:1 MUx BLOCK)6. F in the blanks in the truth table of the given digital circuit NOT Use fer NOT gate egX. Use paranthesis only for combining two logic gates OR and AND e ZOX+Y) er (Y+Z).OX+Y) You can use either XY or X.Y for AND gate. Write the letters in alphabetic orders: eg XY, not YX 1 5
- Logic Gates:* 7404LS (NOT)* 7408LS (AND)* 7432LS (OR)* 7400LS (NAND)* 7402LS (NOR)* 7486LS (EX-OR)Or you can use 74HCxx versions.Task 1: 2-to-1 LINE MULTIPLEXER DESIGNA) Write the truth table of 2-to-1 line multiplexer.B) Draw the circuit diagram by using only NAND & NOT GATES.C) Simulate the circuit that you found in part B.TOPIC: COMBINATIONAL CIRCUIT What is a half-adder? Write its truth table. Design a half-adder using NOR gates only. What is a full-adder? Draw its logic diagram with basic gates. Implement a full-adder circuit using NAND gates only. Implement a full-adder circuit using NOR gates only. What is a multiplexer? How is it different from a decoder? How are multiplexers are useful in developing combinational circuits? What are the major applications of multiplexers?1. Design a counter to repeat the following count sequence: 3, 4, 5, 6. You will likely need one or two external gates. Using a 4-Bit Binary Counter (SN74HC161N) 2. Prepare a wiring diagram to implement the design.
- Construct a circuit diagram that checks whether the two numbers A and B are in the ratio of 2:3. Also, derive the final Boolean equation for the function. F = 1 if A: B = 2: 3,0 otherwise Here, A and B both are 3 bit binary numbers. NB: You cannot use the IC of comparator, meaning for the comparison part, you need to draw the gate level diagram. You can use block level diagrams for the rest of the parts.Question 3: a) Design a circuit which will add a 4-bit binary number to a 5-bit binary number. Use five full adders. Assume negative numbers are represented in 2's complement. (Hint: How do you make a 4-bit binary number into a 5-bit binary number, without making a negative number positive or a positive number negative?) b) A half adder is a circuit that adds two bits to give a sum and a carry. Give the truth table for a half adder, and design the circuit using only two gates. Then design a circuit which will find the 2's complement of a 4-bit binary number. Use four half adders and any additional gates. (Hint: Recall that one way to find the 2's complement of a binary number is to complement all bits, and then add 1.)An equation in reduced SOP form, is F=AB+B'C+A'C'. I need to draw a logic circuit F using NOT/AND/OR and logoc circuit F using all NAND gates. Thank you for the help. I understood the previous types of gates but I am confused on how to draw these circuits.