Show that a 2-1 mux is logically complete for 2-input gates
Answer-
Implementation of all 2-input logic gates using the 2x1 MUX is as follows.


3) (10 points) Implement F(A, B, C) = m(0,1,4,7) using an 2-to-1 MUX (use the symbol) and any other basic logic gates necessary (AND, OR, or NOT gates). Show the truth table and minimize any combinational logic (other than the MUX) in sum-of-products form. Use the left most input(s) for the MUX select input(s) in your schematic.
A multiplexer (MUX) is a logic function that combines several inputs and a control input, the output of which is one of the inputs selected by the control input. A2-1 MUX is shown below: Where X and Y are inputs and S is the control input. The Truth Table of the 2-1 MUX is given by: Show that the 2-1 MUX forms a complete set of logic functions by realizing a NOR gate using only 2-1 MUXes.
You want to design a MUX that will choose one multi-bit input from among 17 possible inputs. In other words, there will be 17 individual busses coming into the MUX. How many gates will your MUX need?
Simulate the following truth table using a 2:1 MUX and other logic gates. A B C Y 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1
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2. The 4:1 Mux itself in the circuit below is governed by the following table. S1 SO DO D1 D2 D3 The overall circuit below has inputs A, B, C and output X. Complete the truth table below for the overall circuit, then express the function in Σ notation. Remember that Vcc is the positive power supply that produces a "high" voltage (logic 1). The symbol on input D2...
EEL3712 Logic Design Fall 2017 page 3 1. (11pts-2+2+2+3+2 (bonus)) Solve the following questions. a) Build a 8-to-1 MUX from a number of 2-to-1 MUX(S) only. Please also give the logic equation for the 8-t0-1 MUX that you made. b) Build a 6-to-1 MUX from a number of 2-to-1 MUX(s) only. Please also give the logic equation for the 6-to-1 MUX that you designed. c) Please write the Boolean equation of a two input XOR gate, and then use only...
1. What logic gates are known as universal gates? (1 point) a) nand, nor b) and, or, not c) nand, nor, xor, xnor d) None of the above 2. Write the half adder truth table. (4 points) 3. Fill in the blank. (1 point) A2 to 1 mux has input lines. 4. True or False? (1 point) A Boolean algebraic sum of products expression is the complement of the product of sums expression. 5. What is the minimum POS expression...
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...
Design a 32-to1 multiplexer (MUX) using 1. 8-to-1 MUX and 2-to-4 decoders. 2. 4-to-1 MUX and 2-to-4 decoders. Thank you!
how man 2-input AND gates are required to build a circuit that functions as a 4-input AND gate?