I. Draw the logic diagram for the function
For Questions 1-3:
I. Draw the logic diagram for the function (5 points)
II Derive the Karnaugh map for the function (5 points)
III Write the function in Sum of Products notation (5 points)
IV. Simplify the expression (5 points)
V. Draw the logic diagram for the simplified function (5 points)
VI. Show that the simplified expression equals the original equation by deriving the truth tables for both. (5 points)
Homework Answers
For the logic expression: Q = (A’B)’ + CD + ACD’ Use DeMorgan’s Theorem to express...
For the logic expression: Q = (A’B)’ + CD + ACD’ Use DeMorgan’s Theorem to express Q in SOP form (Do not use Boolean Algebra to simplify the equation). Create the Karnaugh map and write the simplified Boolean equation. Draw the schematic diagram. Add IC numbers and pin numbers to the diagram.
About logic diagram, boolean algebra, computer organization Draw the logic diagram for function F as a...
About logic diagram, boolean algebra, computer organization
Draw the logic diagram for function F as a 2‐level AND‐OR
circuit.
Background
F(a,b,c) --> F output 1 if abc is interpreted as 3-bit
unsigned integer is a prime number. Output is 0 for other
numbers.
The Simplified SOP Expression of F = a'b +
ac
F (a, b, c) =
m (2, 3, 5, 7)
Note:
i) complemented inputs (a', b', c') are not available;
ii) Use a fan‐in of 2 only....
Please solve ASAP Problem #2 (100pts) Consider the circuit shown in the Logic Circuit in the Figure: Find its Truth Tab...
Please solve ASAP
Problem #2 (100pts) Consider the circuit shown in the Logic Circuit in the Figure: Find its Truth Table 2) Use the SoP (Sum of Products) Karnaugh Map to identify an expression for X as a function of the inputs A, B and C
Problem #2 (100pts) Consider the circuit shown in the Logic Circuit in the Figure: Find its Truth Table 2) Use the SoP (Sum of Products) Karnaugh Map to identify an expression for X as...
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.
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.
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...
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)Try to use NAND gates to achieve the truth table function of an XOR gate (2)...
(1)Try to use NAND gates to achieve the truth table function of an XOR gate (2) Try to design a clicker for three people, it just needs two people to agree to pass. A,B,C indicate the people, 0 means don't agree, 1 means agree. If it passes the result is 1. Please write the truth table, the SOP (sum of products) equation and draw the logic circuit for it. (3)Use a Karnaugh-map to simplify the following Boolean function: F= AB'C'+A'B'C'+AB'C+A'B'C+AB...
Question 4 (6 points) Part A. Write a truth table such that the output of a...
Question 4 (6 points) Part A. Write a truth table such that the output of a logic circuit is true if and only if its 3-bit input contains at least two l's. Part B. Derive a logic expression from the truth table obtained in Part A using the sum-of-products implementation Part C. Simplify the logic expression obtained in Part B with a Kamaugh Map. (2 points) (2 points) 2 points)
3. Simplify then draw the logic diagram for the following boolean expression as shown in the...
3. Simplify then draw the logic diagram for the following boolean expression as shown in the truth table below. 0 0 0 0 0 0
About logic diagram, boolean algebra, computer organization
Draw the logic diagram for function F as a 2‐level AND‐OR
circuit.
Background
F(a,b,c) --> F output 1 if abc is interpreted as 3-bit
unsigned integer is a prime number. Output is 0 for other
numbers.
The Simplified SOP Expression of F = a'b +
ac
F (a, b, c) =
m (2, 3, 5, 7)
Note:
i) complemented inputs (a', b', c') are not available;
ii) Use a fan‐in of 2 only....
Please solve ASAP
Problem #2 (100pts) Consider the circuit shown in the Logic Circuit in the Figure: Find its Truth Table 2) Use the SoP (Sum of Products) Karnaugh Map to identify an expression for X as a function of the inputs A, B and C
Problem #2 (100pts) Consider the circuit shown in the Logic Circuit in the Figure: Find its Truth Table 2) Use the SoP (Sum of Products) Karnaugh Map to identify an expression for X as...
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.
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.
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...
Question 4 (6 points) Part A. Write a truth table such that the output of a logic circuit is true if and only if its 3-bit input contains at least two l's. Part B. Derive a logic expression from the truth table obtained in Part A using the sum-of-products implementation Part C. Simplify the logic expression obtained in Part B with a Kamaugh Map. (2 points) (2 points) 2 points)
3. Simplify then draw the logic diagram for the following boolean expression as shown in the truth table below. 0 0 0 0 0 0
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