Ques1 : i)What are the basic forms of Boolean expressions? Realize X-OR operation using: ` (a) only NAND gates (b) only NOR gates `. ii)Explain the following a)BCD code b) Grey code c)XS 3 code
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Q: What are basic forms of boolean expression?Realise X-OR operator using a)only NAND gates b)only NOR…
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Q: Explain the following logic gates along with their truth table and symbols. OR AND NAND NOT
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- QUESTION 1 Which Boolean algebra property allows us to group operands in expression in any order without affecting the results of the operation (e.g. A+B=B+A)? a. associative O b. Distributive C. commutative O d. Boolean QUESTION 2 The systematic reduction (simplification) of logic circuits is accomplished by: a. symbolic reduction b. using Boolean algebra c. TTL logic O d. using a truth tableConsider F(A,B,C) = AB'C + B'C' + A'BC + A'C' 1. Determine how many logic gate inputs would be needed before any simplification. Do not count inputs to NOT gates 2. Use Boolean algebra rules to get the most simplified expression of F(A,B,C). Then determine how many logic gate inputs would be needed after simplification. Again, do not count inputs to NOT gates. 3. Expand the original expression into its canonical SOP representation. 4. Fill out the K-map below using the SOP canonical representation. Group the 1-cells according to the K-map simplification rules. Translate each group into its product term, OR these product terms together, and verify that the expression you get matches the one in Step 2. 5. Draw two circuits in CircuitVerse, one from the original expression for F(A,B,C), the other from the simplified expression in Step 2 or Step 4. Connect the inputs to both circuits, but separate their outputs. Verify through simulation that these two circuits are indeed equivalent. Take…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.)
- A combinational logic circuit that compares between two 2-bit numbers A (A1 A0) and B(B1 B0) is designed. Output F is high when ? > ? and low when ? < ?. 1) Are there any undefined outputs? If there are any undefined outputs what are the inputs?1. a. i. Draw the gates required to build a half adder are ii. When simplified with Boolean Algebra (x + y)(x + z) simplifies to : iii. The output of a logic gate is 1 when all its inputs are at logic 0, the gate is either :Task 6: Simplifying Boolean functions in EWB using the logic converter Simplify the following Boolean expression in EWB using the logic converter F (A, B, C) = AB'C'+ A'B'C'+ A'BC'+ A'B'C
- 3. Design a full-adder using only AND, EXOR, and OR gates. [Draw block diagram, construct truth table, determine Boolean equations of outputs, and draw logic diagram]1- Convert the following logic gate circuit into a Boolean expression. Write Boolean subexpression next to each gate. t1 y t2 | t4 t3Problem: Derive the logic expressions for a circuit that compares two unsigned numbers: X = x2x1xo and Y = = y2y1yo and generates three outputs: XGY, XEY, and XLY. One of these outputs is set to 1 to indicate that X is greater than, equal to, or less than Y, respectively.
- A2. Using Boolean algebra, reduce the output equation of the function in Table 1. (You can use the “Karnaugh Map of Table 2" to simplify the logic function obtained). CD AB Table 2 00|01|11| 10 00 01 11 A3. Construct the simplified expression obtained in A2 by only NOR gates. Design and draw the NOR gate 10 connection diagram of the simplified function using only one 4001 IC. using3/ Select a logic gate which is alone enough to implement any boolean expressions. AND gates NOT gates EX-OR gates NAND gatesDetermine 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