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.
Truth table:-
A | B | C | F |
0 | 0 | 0 | 1 |
0 | 0 | 1 | 1 |
0 | 1 | 0 | 0 |
0 | 1 | 1 | 0 |
1 | 0 | 0 | 1 |
1 | 0 | 1 | 0 |
1 | 1 | 0 | 0 |
1 | 1 | 1 | 1 |
Assuming that we are going to make circuit using only one 2:1 MUX.
Since left most input is A it will be used as selection input in our 2:1 MUX.
3) (10 points) Implement F(A, B, C) = m(0,1,4,7) using an 2-to-1 MUX (use the symbol)...
Multiplexer Example Implement the following Boolean function using a 4x1 Mux; F(x,y,z) = Σ (1,2,6,7) Decoder Example Implement the following functions for a full adder using decoder; S(x,y,z) = Σ (1,2,4,7) C(x,y,z) = Σ (3,5,6,7) Implement the following Boolean function; F(x,y,z) = Σ (0,2,3,7): Using; 1. Two 2x4 decoders and logic gates 2. One 4x1 multiplexer Decoder . Draw the truth table for the function to be implemented. . Pick the terms for output. . Derive appropriate logic to combine terms. . Use two 2x4 decoders to make one3x8 decoder. . Pay attention to fact...
Question 2: Combinational Logic (15 points) Implement the following Boolean function Z(A,B,C,D) = {(1,2,5,7,8,10,11,13,15) 2.1 (5 points) Write the truth table for Z. 2.2 (5 points) Implement Z using a single 16:1 multiplexer. Make sure that you mark all inputs and outputs clearly. 2.3 (5 points) Implement Z using an 8:1 multiplexer and all necessary gates. Make sure that you mark all inputs and outputs clearly.
I need help with part 1 and part 2 if anyone can help me out. To
draw the schematic we use logic.ly. Thank you for your help.
Combinational Gates: Part A 1) 2 to 4 Decoder a. Draw a 2 input to 4 output decoder. Utilize class notes, ZYBooks, and other online resources to determine the proper schematic and functionality b. Create a truth table. c. Explain what the circuit is used for. d. Include 1 screen shot in your...
Design a Digital combinational logic circuit using logic gates that has 4 inputs and 2 outputs. The circuit: i. Turns on a Red LED if its input is a multiple of 2. (i.e., 0, 2, 4, 6, 8 …..) ii. Turns on a Green LED if its input is a multiple of 3. (i.e. 0, 3, 6, 9) - Draw the truth table for the circuit, bearing in mind that this circuit has 4 inputs and 2 outputs, meaning your...
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
1. Q(A,B,C,D) = ABC'+ A'BC+C'D'+AB'+B'C a) Implement the previous function using logic gates. b) implement the same function using a 16 input multiplexer (74150) only. (Hint: draw the truth table for Q)
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...
Solve the following problems: 1.(4 points) Design the simplest sum-of-products circuit that implements the function Write the truth table, canonical SOP form, minimal form, and cost. 2.(4 points) Design the simplest product-of-sums circuit that implements the function f(x1, X2, X3 ) = II M(2,3,6). Write the truth table, canonical POS form, minimal form, and cost. 3.(2 point) Design a circuit that implements the simplest sum-of-products circuit that implements the function ing only NAND gates. Show all work, including logic networks.
Q3. i) [2] Implement the following Boolean expression using basic gates. [(A + B) (C+DJE + FG 121 ii) Using K-Map deduce the value of each function W,X,Y,Z Table.3A X Y Z А 0 0 B 0 0 с 0 W 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 - 1 0 0 1 0 1 1 1 0 0 0 0 1 1 0 1 0 1 1 0 0 1 1...
Given the two logic functions: how dol know which logic gotes tc Use y(a, b, c) b(a+ c ) G) Implement y (a, b, c) using the decoder of which the function table is given in Table 1, and any necessary basic logic gates.