Answer is as follows:
The truth table with circuit using two input multiplexer is as follows:
here if A = 0 than output is invertor of B
else if A = 1 than output is 0.
that acts like same as NOR gate.
So from above circuit it is proved that two - input multiplexer is universal as NOR gate.
if there is any query please ask in comments...
Problem 3 (10 points) Prove that a two-input multiplexor is also universal by showing how to...
Problem 3 (10 points) Prove that a two-input multiplexor is also universal by showing how to build the NOR gate using multiplexors
Show that the NOR gate is universal by showing how to build AND,OR, and NOT functions using two-input NOR gates.
Problem 3 (10 points). Simplify the following Boolean function F and implement with: (a) Two- level NAND gate circuit; (b) Two-level NOR gate circuit. F-wx' + 'z' + wyz!
Sketch a schematic for the two-input XOR function using only NAND gates. How few can you use? Explain why a circuit’s contamination delay might be less than (instead of equal to) its propagation delay. A gate or set of gates is universal if it can be used to construct any Boolean function. For example, the set {AND, OR, NOT} is universal. (a) Is an AND gate by itself universal? Why or why not? (b) Is the set {OR, NOT} universal?...
Q1: Design Two-Input NAND Using NOR Gate(s) Creaete the NAND gate as specified in the following instructions. * Truth table *Derive the NOR gate circuit using Boolean Algebra (I am not sure how to do this step, thanks) * Create the Circuit Q2: Design Two-Input NOR Using NAND Gate(s) Creete the NOR gate as specified in the following instructions. * Truth table * Derive the NOR gate circuit using Boolean Algebra * Create the Circuit
5. [10 Pts] Determine the critical path in the following circuit. Also determine the propagation delay and contamination delay. Use the gate delays given in the table below Gate NOT 2-input NAND 3-input NAND 2-input NOR 3-input NOR 2-input AND 3-input AND 2-input OR 3-input OlR Ipd (ps) 15 20 30 30 45 ed (ps) 10 15 25 25 35 25 30 30 45 40 40
(Problem 2: 10 points) Consider the following two-input second order model with interaction terms, E() 3 + 2x1 4x20.5x? + 1.5xz +2x,x2. Compute the variation of E(v) with respect to xi and also x2 i.e. nd"s at (, 2)-(2.3).
part c Problem 3 [10 points a) (5 points) Construct a circuit that takes as input a 3-bit number X-XXXo and increments it by one. L.e. if the input is 101 the output should be 110. Use only half adders. b) Construct a circuit that takes as input a 3-bit number X-XXxo and decrements it by one 1. (5 points) Show the truth table of the circuit. Then use a decoder and additional gates to implement it. So Ys Y2...
Problem (2), 10 points Let n be an integer. Prove that if 3 does not divide n, then 3(2n2 5) Problem (2), 10 points Let n be an integer. Prove that if 3 does not divide n, then 3(2n2 5)
just put circle around the correct answer Chapter 3 Introduction to Logic Gates Questions 1. How many 2-input AND gate required to construct a 5-input AND gate? a) 2 b) 3 d) 4 c) 5 e) noпe Which is better for a 4-input OR gate. The connection of A or B, Fig(13), why? 2. a) A b) B 3. If only 2-input OR gates are available, what is minimum gate level possible to implement an 8-input OR gate 2 a)...