(1) (a) (i) Show that the NOR gate is universal. (ii)Identify the gate that is the...
(1) (a) (i) Show that the NOR gate is universal.
(ii)Identify the gate that is the dual of the NOR gate.
(b) Draw the circuit for F = XY Z + XZ(bar) + XY(bar) using only OR and NOT gates.
Show the calculations that led you to your answer.
Homework Answers
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(1) (a) (i) Show that the NOR gate is universal.
(ii)Identify the gate that is the...
Show that the NOR gate is universal by showing how to build AND,OR, and NOT functions...
Show that the NOR gate is universal by showing how to build AND,OR, and NOT functions using two-input NOR gates.
Build the truth table for half-adder and show one implementation using gates. Build a NOT gate...
Build the truth table for half-adder and show one implementation using gates. Build a NOT gate from NOR gate. Build a NOT gate from NAND gate. Algebraic equation for XOR gate is A B bar + A bar B. Show that the algebraic equation for XNOR gate AB + A bar B bar. Draw a circuit for a 2-to-4 line decoder. 2-to-1 line multiplexer equation is given by Y = S bar I_0 + SI_1 Show an implementation of this...
Q.2) Using De Morgan's law: a) Design a 3-input NOR gate using 2-input NOR gate only....
Q.2) Using De Morgan's law: a) Design a 3-input NOR gate using 2-input NOR gate only. Draw you diagram b) Design 4 input AND gate using 2 input NOR gates. Draw you diagram
We know that the NAND gate is universal, so all other gates can be built using...
We know that the NAND gate is universal, so all other gates can be built using just NAND gates. Hence we should be able to build a half-adder using NAND gates. And we can. a) Draw the AND operation as a circuit using only 2 NAND gates b) Check your design in (a) by showing the full truth table for it c) Draw the OR operation as a circuit using only 3 NAND gates
We know that the NAND gate is universal, so all other gates can be built using...
We know that the NAND gate is universal, so all other gates can be built using just NAND gates. Hence we should be able to build a half-adder using NAND gates. And we can. a) Draw the AND operation as a circuit using only 2 NAND gates [2 marks] b) Check your design in (a) by showing the full truth table for it [2 marks] c) Draw the OR operation as a circuit using only 3 NAND gates [2 marks]...
Need help!! 9) DeMorgan's Law: can function as an AND gate. (A + B)' = A'...
Need help!!
9) DeMorgan's Law: can function as an AND gate. (A + B)' = A' B'. Use this to draw a circuit showing how 3 NOR gates 10) DeMorgan's (dual) Law: (AB)' = A' + B'. Use this to draw a circuit showing how 3 NAND gates can function as an OR gate 11) Note the following Boolean expressions for NAND gates, and use them to write the corresponding dual expressions for NOR gates a. (A0)'=1 (AI)'=A' (A'A)1 c....
NAND and NOR gates are universal, which means that you can implement every possible Boolean function...
NAND and NOR gates are universal, which means that you can implement every possible Boolean function with them. Remember that the NOT gate can be implemented using either a NAND or a NOR. Implement the following functions using only NAND and NOT gates. Do not simplify the functions for this problem. a. (a + b) (c' +d) b. (a'b + b'c)' Implement the following functions using only NOR and NOT gates. c. (a + ab'c)' d. (((a + b)' +...
Draw a logic diagram using only two-input NOR gates to implement the following function. Show your...
Draw a logic diagram using only two-input NOR gates to implement the following function. Show your work. You must use only NOR gates for this solution, no other gates. You may assume that the inverted inputs are available. Example: if you need A’ as a circuit input, just write A’ as an input name. (15 points) F(A, B, C, D) = (A B)’ (C D) a. Show your work, using Boolean algebra to expand the function to its...
1) Draw the diagram of XOR gate using AND, OR and NOT gates only 2) Draw...
1) Draw the diagram of XOR gate using AND, OR and NOT gates only 2) Draw the diagram of this function (x,y) = (x’y + xy’ + x’y’) using NOT, AND gates only 3) Draw the diagram of this function (x,y,z,w) = (x’ + y’).(z + w) using 2 input NAND gates only Draw the diagram of this function (x,y,z) = xy’z using 2 input NAND gates only.
4. Implement the function using only NOR gates (20 pts) (A B+C).D Sketch the logic gate...
4. Implement the function using only NOR gates (20 pts) (A B+C).D Sketch the logic gate schematic and verify your circuit by truth table.
Build the truth table for half-adder and show one implementation using gates. Build a NOT gate from NOR gate. Build a NOT gate from NAND gate. Algebraic equation for XOR gate is A B bar + A bar B. Show that the algebraic equation for XNOR gate AB + A bar B bar. Draw a circuit for a 2-to-4 line decoder. 2-to-1 line multiplexer equation is given by Y = S bar I_0 + SI_1 Show an implementation of this...
Q.2) Using De Morgan's law: a) Design a 3-input NOR gate using 2-input NOR gate only. Draw you diagram b) Design 4 input AND gate using 2 input NOR gates. Draw you diagram
Need help!!
9) DeMorgan's Law: can function as an AND gate. (A + B)' = A' B'. Use this to draw a circuit showing how 3 NOR gates 10) DeMorgan's (dual) Law: (AB)' = A' + B'. Use this to draw a circuit showing how 3 NAND gates can function as an OR gate 11) Note the following Boolean expressions for NAND gates, and use them to write the corresponding dual expressions for NOR gates a. (A0)'=1 (AI)'=A' (A'A)1 c....
NAND and NOR gates are universal, which means that you can implement every possible Boolean function with them. Remember that the NOT gate can be implemented using either a NAND or a NOR. Implement the following functions using only NAND and NOT gates. Do not simplify the functions for this problem. a. (a + b) (c' +d) b. (a'b + b'c)' Implement the following functions using only NOR and NOT gates. c. (a + ab'c)' d. (((a + b)' +...
4. Implement the function using only NOR gates (20 pts) (A B+C).D Sketch the logic gate schematic and verify your circuit by truth table.
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