Show that the NOR gate is universal by showing how to build AND,OR, and NOT functions using two-input NOR gates.
Show that the NOR gate is universal by showing how to build AND,OR, and NOT functions...
(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.
Problem 3 (10 points) Prove that a two-input multiplexor is also universal by showing how to build the NOR gate using multiplexors.
Problem 3 (10 points) Prove that a two-input multiplexor is also universal by showing how to build the NOR gate using multiplexors
14. NAND and NOR are said to be universal gates because each and every gate can be made from these two gates Make AND, OR and NOT gates using just NAND gates. Make AND, OR and NOT gates using just NOR gates.
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...
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)' +...
2. NAND and NOR gates are the universal logic gates. To prove this property of universal gates, show how the basic/ standard logic gates (AND, OR, NOT) can be implemented using only NAND and NOR gates. (Hint: Show six circuits in total: three with only NAND gates and three with only NOR gates)
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
how man 2-input AND gates are required to build a circuit that functions as a 4-input AND gate?
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