Example: Implement the logic circuit that has X = AB.(C + D) using only one NAND and NOR gate. D B A C+D the expression Example: Implement a circuit having the output expression Z=A+B+Cusing only one NAND and an inverter gate. C -Z Da
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- Which of the following is an important feature of the sum-of-products form of expressions? • The delay times are greatly reduced over other forms. • The maximum number of gates that any signal must pass through is reduced by a factor of two. • No signal must pass through more than 2 gates (not including inverters). • All logic circuits are reduced to nothing more than simple AND and OR gates.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.1) If the sum of the 2-bit "AB" numbers and the 2-bit "CD" numbers is not odd, the logic circuit (logic circuit) that outputs "0", if odd, outputs "1", using the Karnaugh Method and according to SOP (minterms) Design and draw the circuit. Leave the circuit as derived from Karnaugh, ie do not simplify any further.
- 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?a) The implementation of the logic function: X = ((A' + B) (C' +D' + E') + F') G' is given below. Complete the circuit indicating the inputs (the output is already shown). Size the devices so that the output resistance is same as that of an inverter with an NMOS WL=2 and PMOS WL-6. Which input pattern(s) would give the worst and best equivalent pull-up or pull-down resistance? Show your work. b) What are the logic functions implemented by the circuits given below. Show your work. Vco B B- WL=16 WIL-8 W.L-8 WL-16I D- A-[WL-12 Cx2 G-WL-12 Los B E D-WL-12 c) What is the function of the circuit given below? Can it store information? If yes how? TJ TT5) You want to design an arithmetic comparison combined logic circuit.a. Write your design purpose of the 4-bit comparison (big-equal-small) circuit.b. List the process steps that you will apply in the design approach. Design a 4-bit comparison (large-equal-small) circuit. Explain each step. Realize with AND, OR, NOT gates.c. Compare the decimal numbers in the last two digits of your student number in the circuit you designed and discuss the result. last two digits of student number : 0 4 . Not : I want the solution to contain tables and equations, and the electrical circuit resulting from tables and equations, as in the picture that I attached,And if possible, Because it is normal when solving a question to have tables and equations. I want an integrated solution, please look at the question carefully before starting the solution because I have sent a question a lot
- Use Boolean algebra to simplify the following expression, then draw a logic gate circuit for the simplified expression:parity generator design, construct and test a circuit that generates an even parity bit ffrom four messages bits . use XOR gates. adding one more XOR gate, expand the circuit so that it generates an odd parity bit also.Q (A, B, C) = A̅ .B̅. C +A̅ .B. C + A .B. C̅ + A.B.C Karnaugh function given in the form Using the mapping method, you can use the simplified function separately in terms of minterms and maxters. obtain. Output functions with AND NOT for minterms and OR for maxters. Install separately with logic doors.
- 1. Construct a logic circuit that combines two 16-to-1 MUXS to form a 32-to-1 MUX. (Hint: Use an inverter to select the appropriate MUX.) 2. Use an 8-to-1 MUX to implement each of the following functions, assuming that all inputs and outputs are active high. (a) W(A, B, C) =Em(1,2, 4, 5, 6) (b) X(А, В, С) 3D АВС + АВС + АВС + АВС + АВС (с) Ү(А, В, С) %3 П МО, 1, 2, 6, 7) 3. Repeat Problem 2 but instead use a 4-to-1 MUX to implement each function. To do this use minimum external logic and the two most significant inputs as the data select variables. 4. a) Configure a 6-to-64 decoder by using only 3-to-8 decoders. b) Configure a 6-to-64 decoder by using only 4-to-16 and 2-to-4 decoders.F=A+B'C+A'BC' I need to construct the circuit in multism with an inverter, and gate, or gate.5- Determine an alternative method for implement the full-adder. Hint: Write the expressions of the circuit and simplify using icarnaugh map.Then implement using AND-OR gates. 6- Design a logic cct using NAND gate and convert BCD code to Excess-3code.