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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...
Multiplexer Example Implement the following Boolean function using a 4x1 Mux;
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 #6 6 points Implement the function from the truth table below (X, Y, Z are...
Question #6 6 points Implement the function from the truth table below (X, Y, Z are inputs. F is the output) using a) An 8:1 multiplexer b) A 4:1 multiplexer and one inverter c) A 2:1 multiplexer and two other logic gates Y z F 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 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...
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)
Design a combinational circuit with three inputs, x , y, and z, and three outputs, A,...
Design a combinational circuit with three inputs, x , y, and z, and three outputs, A, B , and C . When the binary input is 0, 1, 2, or 3, the binary output is one greater than the input. When the binary input is 4, 5, 6, or 7, the binary output is two less than the input. 1) Truth table 2) Logic circuit 3) Boolean function of A using minterms ( use Boolean algebra) 4) Boolean function of...
[10] A combinational circuit is specified by the following three Boolean function: F1(A,B,C) = {(2,4,7) F2(A,...
[10] A combinational circuit is specified by the following three Boolean function: F1(A,B,C) = {(2,4,7) F2(A, B, C) = 2(0,3) F3(A,B,C) = {(0,2,3,4,7) Implement the circuit with a decoder constructed with NAND gates and NAND or NOR gates connected to the decoder outputs. Use block diagram for the decoder. Minimize the number of inputs in the external gates.
I need help with this assignment on Boolean Expression: F(a, b, c, d) = A'B'D +...
I need help with this assignment on Boolean Expression: F(a, b, c, d) = A'B'D + A'B + ACD Use a K-Map to reduce the given function. Then use it to create a truth table Implement both original function and the reduce function using logic gates on a multisim Please Feed both circuits of each function with the same inputs (clocks or word generator). Also feed a logic analyzer with theses inputs and both outputs. Note that the outputs should...
Part C. Digital Logic Question C 1( 20 points) Please describe the differences and similarities between Latches and...
Part C. Digital Logic Question C 1( 20 points) Please describe the differences and similarities between Latches and FliFlops. Please write clearly and use no more than 2 sentences. Question C 2( 20 points) Please write BOOLEAN function for 2:I multiplexer Question C 3( 20 points) Please draw a TRUTH table for 2:1 multiplexer Question C 4( 20 points) Please draw schematic diagram using AND, OR. NOT gates for 2:1 multiplexer Question C 5( 20 points) Please describe SETUP and...
2. Boolean Logic 2.1. Demonstrate the following identity by means of algebraic manipulations. !(x+y)z+x!y y (x+z)...
2. Boolean Logic 2.1. Demonstrate the following identity by means of algebraic manipulations. !(x+y)z+x!y y (x+z) (last resort: use truth table) 2.2. Create the truth table and the circuit for the function F(xy,z) (x+y) (!x+z)
3) (10 points) Implement F(A, B, C) = m(0,1,4,7) using an 2-to-1 MUX (use the symbol)...
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.
2. [15pt] Implement the following Boolean function using a multiplexer. f(xy.zw) m(0,2,5,8,10,14.15) Carefully label all the...
2. [15pt] Implement the following Boolean function using a multiplexer. f(xy.zw) m(0,2,5,8,10,14.15) Carefully label all the inputs and outputs of your multiplexer and justify your design.
Question #6 6 points Implement the function from the truth table below (X, Y, Z are inputs. F is the output) using a) An 8:1 multiplexer b) A 4:1 multiplexer and one inverter c) A 2:1 multiplexer and two other logic gates Y z F 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 -
[10] A combinational circuit is specified by the following three Boolean function: F1(A,B,C) = {(2,4,7) F2(A, B, C) = 2(0,3) F3(A,B,C) = {(0,2,3,4,7) Implement the circuit with a decoder constructed with NAND gates and NAND or NOR gates connected to the decoder outputs. Use block diagram for the decoder. Minimize the number of inputs in the external gates.
Part C. Digital Logic Question C 1( 20 points) Please describe the differences and similarities between Latches and FliFlops. Please write clearly and use no more than 2 sentences. Question C 2( 20 points) Please write BOOLEAN function for 2:I multiplexer Question C 3( 20 points) Please draw a TRUTH table for 2:1 multiplexer Question C 4( 20 points) Please draw schematic diagram using AND, OR. NOT gates for 2:1 multiplexer Question C 5( 20 points) Please describe SETUP and...
2. Boolean Logic 2.1. Demonstrate the following identity by means of algebraic manipulations. !(x+y)z+x!y y (x+z) (last resort: use truth table) 2.2. Create the truth table and the circuit for the function F(xy,z) (x+y) (!x+z)
2. [15pt] Implement the following Boolean function using a multiplexer. f(xy.zw) m(0,2,5,8,10,14.15) Carefully label all the inputs and outputs of your multiplexer and justify your design.
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