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please help me fast please Question 1 [Marks: 201 Simplify the following Boolean expression using De...
Q1: Boolean algebra 1. Simplify the following Boolean expression using Boolean algebra we learned in class land draw the logic diagram of the simplified expression - - F= ABC + ABC + ABC + ABC+ ABC
Problem 1. For following boolean expression: (AB)+(AC)+(ABC) a) Derive the gate schematic b) Simplify the boolean expression using i) Boolean Algebra simplification ii) Karnaugh Map simplification
L ILLLL LLLLLLL LO LLO (7) Boolean Algebra 7 marks (7a) Simplify the following logic function as a sum of products. You may use K-map. 3 marks F = Ā B D + A B D + B C D + C D + ĀB C D (76) 1 mark Implement the simplified logic function F of (7a) as a sum of products with AND and OR gates. Show your steps. You may assume complements of the literals are available....
Question 8 (10 points) Use Boolean algebra to simplify the following expression X = ABC + ĀBC + ĀBC + ABC + ABC (2.5 points) Sketch the simplified circuit
Use Boolean algebra to simplify the following expression. Then draw a CMOS AOI schematic. Use minimum number of transistors. G = (O(LD)')' Please show detailed steps with explanations Also, show work neatly.
Given the following boolean expression: F=ABC + ABC + ABC 1. Simplify the expression and produce an equivalent operation using only NAND operations. 2. A logic diagram implementing the simplified expression using only inverters and NAND gates.
Simplify the following Boolean expressions to the minimum number of terms using the properties of Boolean algebra (show your work and write the property you are applying). State if they cannot be simplified A. X’Y + XY B. (X + Y)(X + Y’) C. (A’ + B’) (A + B)’ D. ABC + A’B + A’BC’ E. XY + X(WZ + WZ’)
show work please
4. Use De Morgan Theorem to simply following Expression spts a. F = (A+C)(A+ AB) b. Draw the circuit before the DE Morgan and after DE Morgan simplification. lopts 5. Design a circuit has a high for 2,4,6,7 and simply it using Boolean method. 15pts 6. Design a circuit having high for 1,3,7,9,11,14. and simplify using K-map. Ispi a. Design the circuit has a high for 4, 6, 1, and 5 using the K-map Method to simplify...
Question 3 (20 marks) (a) Define minterm and maxterm in Boolean functions. [4 marks] (b) The truth table of the function X is shown in Table 1 Table 1 A|B|C 0 0 0 (i) Write the Boolean expression for function X in maxterms. () Simplify function X. ) Draw the logic gates of the simplified function X. (iv) Explain the benefits of simplifying the Boolean functions for digital circuits. [5 marks] [5 marks] [3 marks] [3 marks]
Logic Discrete Maths Question 3 & 4
3. [6 marks: 3 marks for steps, 3 marks for labels] Simplify the following statement using the laws and axioms of logic. Clearly state which law or axiom has been used at each step 4. [4 +4-8 marks] Given the following statements The student is in the esports club or in the aquatic club. If they are in the esports club then they do not get free access to the pool. The student...