B) Implement F = A+B using NAND gates only. Draw the Logical Diagram then complete the Truth Table.
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- Y 3. 4 Fill in the blanks in the truth table of the given digital circuit. Use ' for NOT gate e.g X'. Use paranthesis for combining two logic gates e.g Z.(X+Y) or (Y+Z).(X+Y)Logic Gates:* 7404LS (NOT)* 7408LS (AND)* 7432LS (OR)* 7400LS (NAND)* 7402LS (NOR)* 7486LS (EX-OR)Or you can use 74HCxx versions. Task 2: 4 INPUT PRIORITY ENCODERa) Write the truth table.b) Find the outputs in terms of min terms using minimal expression.c) By using K map, find the simple/simplest expression of theoutputs.d) Draw the circuit diagram. (Simulation design will be accepted.)e) Simulate the circuit & explain your results. (Please do notdesign separate simulations for each output. You should design ONEsimulation including all inputs and outputs.)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
- 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 + zxIn 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.I was able to fill out the truth table for part A. I ONLY need help for PART B. B) Implement the logic function (z) using the multiplexer 74HC151 shows in the picture.
- 3. Discussion: 1. Compare between BCD code & Excess-3 code? 2. What is the reason of inventing Excess-3 Codes? 3. Find the Excess-3 code of (83.67)10 and show your work? 4. Find the decimal number of (11110001101010)Excess-3 and show your work? 5. What is the Excess-3 code of (100100001111001)BCD ? Show and verify yourwork.4. (i) (ii) Obtain sum of products expression for the given NAND network and draw the truth table. Construct the logic diagram using AND/OR/NOT gates. A B D-Determine the truth table for the following logic circuit. Then identify the type of logic gate using Boolean algebra. O +Vcc R23 ER O O/P Q1 Q2 BO
- II. Determine the logic diagram and truth table for the following logic expressions. NOR implementation for problem 1 and NAND implementation for problem 2. 2. X = (A © B) (A + B + C)Design a 2-bit multiplier using a set of Multiplexers and 2-input NAND gates. (Please show all steps this includes K-Map and truth tables)4. Use the Word table tool to construct the truth table for this circuit. Be sure to include intermediate values. Insert column headings in the first row. Be sure to use the Insert > Equation tool so that standard Boolean logic symbols are displayed in the headings. A B. D In the circuit implementation of an 8-bit adder, explain why the carry bit connection of the least- significant bit is connected to ground. Explain in words what values for A, B, C, D, E will cause a 1 to appear at point X. A B E