Implement the following Boolean function F, together with the don't- care conditions d. Use minimum number of NAND gates for your implementation. F(A,B,C,D) = II (8,9,11,12,15) d(A,B,C,D) = E(0,2,7,14, 13)
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- In this problem we'll explore the fact that all logical circuits can be implemented using just NAND gates. The figure below shows you the symbol for a NAND gate and its truth table. We then show you how NAND gates can be wired together to perform the equivalent of a NOT gate, an AND gate, and an OR gate. NAND gate AB Output 1 01 1 Inputa Inputg Output 10 1 11 NOT A- AND D B. A. OR B. 2 i. Let's denote p NAND q as pīq. Write a logical expression for the thrce circuits corresponding to AND, OR, and NOT. ii. Validate your three logical expressions with three truth tables. For clarity and full credit, show cach variable and distinct sub-clause in a separate column, culminating in your final formula. 3. 2.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.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.
- DISCUSSION: 1- Design the logic eircuit for the following conditions and draw the output wave form, X is a 0 if any two of the three variables A, B, and C are 1, X is al for all other conditions. 2- Implement the following function with only AND and NOT gates, F-AB+AB+BC W-XY (XZ+XY Z+ Y Z) + XZ 3- Use NAND gate, NOR gate, or combinations of both to implement the following expression:- a) X-A [B + C (D +E)] b) X B (CDE+EF G) (A B+ C) 4-a) What is the applications of AND gate and OR gate? b) In OR gate why 1 +1 1? c) The Fig. (1-12 ) shows the A & B inputs and the output is C, For the OR gate using the A and B inputs of Fig. (1-12) draw the C output for each of the following: The AND gate. • The NAND gate. • The NOR gate. .The EX-OR gate. • The EX-NOR gate. 1-123. 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 + zx4. For the NOR gate function shown below a) Write the switching expression for the output, F(A,B,C,D) b) Simplify this switching function so that the only gates involved are AND, OR, and NOT gates. c) Draw the logic diagram of this simplified expression using only AND, OR, and NOT gates. am 1, S..pdf DII PrtScn F8 Home F9 End F10 F3 F4 F5 F6 F7 &
- so we were asked to implement a 3-bit BCD number on DE0’s board segment display for quartus... using 7447 but 7447 has 4 inputs? (see attached screenshot for problem) also not sure what the items in the second screenshot should be doing? like i can put inputs and outputs..but i don't know what they are? and its not discussed other than they can supply power?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.Simplify the following Boolean function F, together with the don't care d. Using K-map and Draw the logic diagram. a) F (A,B,C,D) = Em(0,6,8,13,14) & d (2,4,10) %3D b)F (A,B,C,D) = Em(1,3,8,10,15) & d (0,2,9) %3D
- The input to a combinational logic circuit is 4-bit binary number (A, B, C, D). Design the circuit strictly using NAND gate with two outputs (Y1 and Y2) for the following conditions: Output Y1 is low when the input binary number is less than or equal to 7. Output Y2 is high when the input binary number is less than or equal to 7.Q1: Design and implement an asynchronous counter that counts from 0000 up to 1100 (modulus 13). Use OR gate, and show in the drawing how the OR gate is connected to truncate the state 1101.11. Use AND gates, OR gates, and inverters as needed to implement the following logic expressions as stated: a. X = AB + BC b. X = A(B+C) c. X = AB + AB d. X = ABC + B(EF +G) e. X = A[BC(A + B + C + D)] f. X = B(CDE + EFG)(AB+C)