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For the following functions and using Boolean identities a) Simplify the given functions b) Construct the...
Question 3 (20 marks) (a) Define minterm and maxterm in Boolean functions. [4 marks] (b) The...
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]
Given the Boolean function F= xy'z+x'y'z+xyz a.List the truth table of the function. b.Draw the logic...
Given the Boolean function F= xy'z+x'y'z+xyz a.List the truth table of the function. b.Draw the logic diagram using the original Boolean expression. c.Simplify the algebraic expression using Boolean algebra. d.List the truth table of the function from the simplified expression and show that it is the same as the truth table in part (a). e.Draw the logic diagram from the simplified expression and compare the total number of gates with the diagram of part (b).
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x,...
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x, y, z) = (xy + xyz + xyz c. F(A,B,C,D) = 20,2,4,5,6,7,8,10,13,15) d. F(A,B,C,D) = A'B'C'D' + AB'C + B'CD' + ABCD' + BC'D e. F(A,B,C,D,E) = (0,1,4,5,16,17,21,25,29) 2. (12 pts) Consider the combinational logic circuit below and answer the following: a. Derive the Boolean expressions for Fi and F2 as functions of A, B, C, and D. b. List the complete truth table...
Use Boolean Algebra to simplify the following Boolean expressions to three (3) literals. Please write down...
Use Boolean Algebra to simplify the following Boolean expressions to three (3) literals. Please write down the intermediate steps. 1). F11(x,y,z) = x'yz+xyz +x'y'Z+xy'Z+ xy'z 2). F12(x,y,z) = (y'+xyz')' Question 2 [2 points) Obtain the function expression of F2 from the logic diagram. Question 3 [3 points) Obtain the truth table of the following function and rewrite the function in Canonical POS (Product of Maxterms) format: F3(a,b,c) = (a'+c)(a+b+c') +a'bc' Question 4 (2 points) Convert the following function to Canonical...
12. Extract the Boolean equation to describe the circuit. Don't simplify it. 13. Reduce the Boolean...
12. Extract the Boolean equation to describe the circuit. Don't
simplify it.
13. Reduce the Boolean equation to its simplest form. Cite any
Boolean identities used.
14. Draw the logic circuit corresponding to the simplified
expression and its truth table.
44 ထိုသူ 11. Show the truth table for the circuit shown above. Columns J, K, L and M are for your convenience if you want to save intermediate results. A TB | | K T . T M T Z...
2.18 For the Boolean function F = xyz + x'y'z + w xy + wx'y +...
2.18 For the Boolean function F = xyz + x'y'z + w xy + wx'y + wxy (a) Obtain the truth table of E (b) Draw the logic diagram, using the original Boolean expression. (c) Use Boolean algebra to simplify the function to a minimum number of literals (d) Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a). (e) Draw the logic diagram from the...
Multiplexer Example Implement the following Boolean function using a 4x1 Mux;
Multiplexer Example Implement the following Boolean function using a 4x1 Mux; F(x,y,z) = Σ (1,2,6,7) Decoder Example Implement the following functions for a full adder using decoder; S(x,y,z) = Σ (1,2,4,7) C(x,y,z) = Σ (3,5,6,7) Implement the following Boolean function; F(x,y,z) = Σ (0,2,3,7): Using; 1. Two 2x4 decoders and logic gates 2. One 4x1 multiplexer Decoder . Draw the truth table for the function to be implemented. . Pick the terms for output. . Derive appropriate logic to combine terms. . Use two 2x4 decoders to make one3x8 decoder. . Pay attention to fact...
Given the function F(x,y,z) = xyztx,y2+xyz (a) List the truth table for F (b) Draw the...
Given the function F(x,y,z) = xyztx,y2+xyz (a) List the truth table for F (b) Draw the logic diagram using the original Boolean expression (c) Simplify the expression (using any method you know) (d) Draw the logic diagram for the simplified expression.
Can I get help here ??? its digital circuit electrical engineering questions P4. 20pts For the...
Can I get help here ??? its digital circuit electrical
engineering questions
P4. 20pts For the timing diagram in Figure P2.3, writhe the truth table and synthesize the function f(x, х, Х,). 1 0 0 Time Figure P2.3 P5. 30pts Given the Boolean function, F = xy'z + x'y'z + xyz (a) List the truth table of the function (b) Implement the logic gate circuit using the original Boolean expression (c) Simplify the algebraic expression using Boolean algebra (d) List...
Q2) Given the Boolean function F = xyz + xyz + xyz (a) List the truth...
Q2) Given the Boolean function F = xyz + xyz + xyz (a) List the truth table. (b) Draw the logic diagram of the original function using 2-input gates. (c) Simplify the function using K-Map. (d) Draw the logic diagram of the simplified function (using 2-input gates). (e) Draw the logic diagram of the simplified function using only 2-input NAND gates.
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]
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x, y, z) = (xy + xyz + xyz c. F(A,B,C,D) = 20,2,4,5,6,7,8,10,13,15) d. F(A,B,C,D) = A'B'C'D' + AB'C + B'CD' + ABCD' + BC'D e. F(A,B,C,D,E) = (0,1,4,5,16,17,21,25,29) 2. (12 pts) Consider the combinational logic circuit below and answer the following: a. Derive the Boolean expressions for Fi and F2 as functions of A, B, C, and D. b. List the complete truth table...
Use Boolean Algebra to simplify the following Boolean expressions to three (3) literals. Please write down the intermediate steps. 1). F11(x,y,z) = x'yz+xyz +x'y'Z+xy'Z+ xy'z 2). F12(x,y,z) = (y'+xyz')' Question 2 [2 points) Obtain the function expression of F2 from the logic diagram. Question 3 [3 points) Obtain the truth table of the following function and rewrite the function in Canonical POS (Product of Maxterms) format: F3(a,b,c) = (a'+c)(a+b+c') +a'bc' Question 4 (2 points) Convert the following function to Canonical...
12. Extract the Boolean equation to describe the circuit. Don't
simplify it.
13. Reduce the Boolean equation to its simplest form. Cite any
Boolean identities used.
14. Draw the logic circuit corresponding to the simplified
expression and its truth table.
44 ထိုသူ 11. Show the truth table for the circuit shown above. Columns J, K, L and M are for your convenience if you want to save intermediate results. A TB | | K T . T M T Z...
2.18 For the Boolean function F = xyz + x'y'z + w xy + wx'y + wxy (a) Obtain the truth table of E (b) Draw the logic diagram, using the original Boolean expression. (c) Use Boolean algebra to simplify the function to a minimum number of literals (d) Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a). (e) Draw the logic diagram from the...
Given the function F(x,y,z) = xyztx,y2+xyz (a) List the truth table for F (b) Draw the logic diagram using the original Boolean expression (c) Simplify the expression (using any method you know) (d) Draw the logic diagram for the simplified expression.
Can I get help here ??? its digital circuit electrical
engineering questions
P4. 20pts For the timing diagram in Figure P2.3, writhe the truth table and synthesize the function f(x, х, Х,). 1 0 0 Time Figure P2.3 P5. 30pts Given the Boolean function, F = xy'z + x'y'z + xyz (a) List the truth table of the function (b) Implement the logic gate circuit using the original Boolean expression (c) Simplify the algebraic expression using Boolean algebra (d) List...
Q2) Given the Boolean function F = xyz + xyz + xyz (a) List the truth table. (b) Draw the logic diagram of the original function using 2-input gates. (c) Simplify the function using K-Map. (d) Draw the logic diagram of the simplified function (using 2-input gates). (e) Draw the logic diagram of the simplified function using only 2-input NAND gates.
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