Given the following truth table, provide the corresponding product-of-sum boolean function. Does not simplify the function....
Given the following truth table, provide the corresponding product-of-sum boolean function. Does not simplify the function. In the answer, sort each sum in the order of "x, y, z". The sums should appear in the same order as that of the corresponding inputs in the truth table from top down. For example, in (x+y+z)(x'+y'+z') the sum x+y+z appears before x'+y'+z' because in the truth table the input (0,0,0) (x+y+z=0 for this input) is in the first row and the input (1,1,1) is in the last row.
| X | Y | Z | Output |
| 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 1 |
| 0 | 1 | 0 | 1 |
| 0 | 1 | 1 | 1 |
| 1 | 0 | 0 | 1 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 0 |
| 1 | 1 | 1 | 1 |
Homework Answers
product-of-sum boolean function is (x+y+z') (x+y'+z) (x+y'+z') (x'+y+z) (x'+y'+z')
(x+y+z') (x+y'+z) (x+y'+z') (x'+y+z) (x'+y'+z')
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Given the following truth table, provide the corresponding
product-of-sum boolean function. Does not simplify the function....
1. Find the Boolean expression of the truth table. Then simplify it and convert it into...
1. Find the Boolean expression of the truth table. Then simplify it and convert it into the least amount of logic gates possible. AB Output 100 011 101 2. Find the POS form of the Boolean expressions below. Find the truth table and logic minimization method of it. Show its gate level implementation, and show the same gate level implementation using only NAND gates. A(X,Y,Z)= m(0,2,4,6) B(X,Y,2)={m(0,4,5) 3. Create a J-k Flip Flop using a D-Flip Flop. Show its truth...
For the following functions and using Boolean identities a) Simplify the given functions b) Construct the...
For the following functions and using Boolean identities a) Simplify the given functions b) Construct the truth table for both of them showing the output of the original function and the simplified one and compare the two outputs? c) Draw the logic circuits for both the original function and the simplified one? 1. FIX, Y, Z) = X'+Y' + XY'Z 2. F(X, Y, Z) = (X+Y)(X' +Y+Z)
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...
(i) Here is a truth table for a boolean function with input Ax and output Bx....
(i) Here is a truth table for a boolean function with input Ax
and output Bx. Using only AND,OR,NOT gates construct a boolean
circut.
(ii) If we invert the outputs as seen below what does this
circuit accomplish, assumiung the same inputs.
10000 00 0 0100 000 0 0 0 1 0 0 0 0 0 00010 00 0 00001 00 0 00000100 00000 010 00000001 01010101 00110011 00001111
A combination circuit is specified by the following Boolean functions listed below. h(a, b, c) = b,c' + a'c Implement the circuit with a 3x8 decoder. Provide truth table and drawing the l...
A combination circuit is specified by the following Boolean functions listed below. h(a, b, c) = b,c' + a'c Implement the circuit with a 3x8 decoder. Provide truth table and drawing the logic/circuit diagram. Use the block diagram for the decoder provided in Figure A4 in supplements. Please label the inputs and outputs clearly. Note: use single 3x8 decoder Question 2 (15 points] A priority encoder is an encoder circuit that includes the Truth Table of a priority function. The...
Find the Boolean function that satisfies the following truth table. 1 1 1 1 y z...
Find the Boolean function that satisfies the following truth table. 1 1 1 1 y z F(x, y, z) 1 0 1 0 01 1 0 0 0 1 1 0 010 001 0 0 00 1 1 1
(use k map) Try 2 of 10 Problem 3 of 5 Simplify the boolean function xyz'+xz+x'z'+zx'....
(use k map)
Try 2 of 10 Problem 3 of 5 Simplify the boolean function xyz'+xz+x'z'+zx'. In the answer, sort within each product in the following order: x, x', y, y', z, z'. Sort the products as well. For example, 2 + yx' should be entered as x'y + z. Hint: the answer consists of the variables x y z. Each variable only appears once. Answer: Submit Back to home page Sign out
Provide detailed reponse on a separate sheet of paper 28) Using K-Maps, simplify the following: a)...
Provide detailed reponse on a separate sheet of paper 28) Using K-Maps, simplify the following: a) F(W, X, Y,Z) (0,2,6,8,10,14) b) F(W, X, Y, Z) 2(7,10,11,13,14,15) 29) Design a logic circuit to determine SQUARE OF THE SUM of TWO "2-bit" numbers. Define binary inputs and outputs, and provide: (a) Truth table (b) Digital circuit implementation using decoder(s) 30) Design a logic circuit that takes 0-9 (in binary) and turns ON corresponding LEDS L1 - L7. For example, all LEDS but...
1.Show the circuit for the truth table shown above 2.Extract the Boolean equation to describe the...
1.Show the circuit for the truth table shown above
2.Extract the Boolean equation to describe the circuit you found.
Don’t simplify it yet!!!
3,Reduce the Boolean equation to its simplest form. Cite any
Boolean identities used
4.Draw the logic circuit corresponding to the simplified
expression and its truth table.
BC z 0 0 1 ololo 1 0 0 0 0 1 10 110
all fast Mathematical LOGIC Card nr. 7 1. Draw a truth table, and find the number of the given Boolean function. Def...
all fast
Mathematical LOGIC Card nr. 7 1. Draw a truth table, and find the number of the given Boolean function. Define the function, using numbers of binary vectors 2. Simplify the given function by reducing its expression into DNF (Disjunctive Normal Form. Simplify the given function by reducing its xpression into a polynomial of modulo2. the given Boolean function geometrically minimize it. resent f (x)vxž
Mathematical LOGIC Card nr. 7 1. Draw a truth table, and find the number...
1. Find the Boolean expression of the truth table. Then simplify it and convert it into the least amount of logic gates possible. AB Output 100 011 101 2. Find the POS form of the Boolean expressions below. Find the truth table and logic minimization method of it. Show its gate level implementation, and show the same gate level implementation using only NAND gates. A(X,Y,Z)= m(0,2,4,6) B(X,Y,2)={m(0,4,5) 3. Create a J-k Flip Flop using a D-Flip Flop. Show its truth...
For the following functions and using Boolean identities a) Simplify the given functions b) Construct the truth table for both of them showing the output of the original function and the simplified one and compare the two outputs? c) Draw the logic circuits for both the original function and the simplified one? 1. FIX, Y, Z) = X'+Y' + XY'Z 2. F(X, Y, Z) = (X+Y)(X' +Y+Z)
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...
(i) Here is a truth table for a boolean function with input Ax
and output Bx. Using only AND,OR,NOT gates construct a boolean
circut.
(ii) If we invert the outputs as seen below what does this
circuit accomplish, assumiung the same inputs.
10000 00 0 0100 000 0 0 0 1 0 0 0 0 0 00010 00 0 00001 00 0 00000100 00000 010 00000001 01010101 00110011 00001111
A combination circuit is specified by the following Boolean functions listed below. h(a, b, c) = b,c' + a'c Implement the circuit with a 3x8 decoder. Provide truth table and drawing the logic/circuit diagram. Use the block diagram for the decoder provided in Figure A4 in supplements. Please label the inputs and outputs clearly. Note: use single 3x8 decoder Question 2 (15 points] A priority encoder is an encoder circuit that includes the Truth Table of a priority function. The...
Find the Boolean function that satisfies the following truth table. 1 1 1 1 y z F(x, y, z) 1 0 1 0 01 1 0 0 0 1 1 0 010 001 0 0 00 1 1 1
(use k map)
Try 2 of 10 Problem 3 of 5 Simplify the boolean function xyz'+xz+x'z'+zx'. In the answer, sort within each product in the following order: x, x', y, y', z, z'. Sort the products as well. For example, 2 + yx' should be entered as x'y + z. Hint: the answer consists of the variables x y z. Each variable only appears once. Answer: Submit Back to home page Sign out
Provide detailed reponse on a separate sheet of paper 28) Using K-Maps, simplify the following: a) F(W, X, Y,Z) (0,2,6,8,10,14) b) F(W, X, Y, Z) 2(7,10,11,13,14,15) 29) Design a logic circuit to determine SQUARE OF THE SUM of TWO "2-bit" numbers. Define binary inputs and outputs, and provide: (a) Truth table (b) Digital circuit implementation using decoder(s) 30) Design a logic circuit that takes 0-9 (in binary) and turns ON corresponding LEDS L1 - L7. For example, all LEDS but...
1.Show the circuit for the truth table shown above
2.Extract the Boolean equation to describe the circuit you found.
Don’t simplify it yet!!!
3,Reduce the Boolean equation to its simplest form. Cite any
Boolean identities used
4.Draw the logic circuit corresponding to the simplified
expression and its truth table.
BC z 0 0 1 ololo 1 0 0 0 0 1 10 110
all fast
Mathematical LOGIC Card nr. 7 1. Draw a truth table, and find the number of the given Boolean function. Define the function, using numbers of binary vectors 2. Simplify the given function by reducing its expression into DNF (Disjunctive Normal Form. Simplify the given function by reducing its xpression into a polynomial of modulo2. the given Boolean function geometrically minimize it. resent f (x)vxž
Mathematical LOGIC Card nr. 7 1. Draw a truth table, and find the number...
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