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For A, B, and C start with a truth table, then use Algebraic
simplification, and finally...
(a) Write a truth table. The input is 4-bit binary ABCD, A is MSB, D is...
(a) Write a truth table. The input is 4-bit binary ABCD, A is
MSB, D is LSB. The output is also represented by x.
(b) Obtain an output expression in the form of a SOP.
(c) Use Boolean Algebra to design a circuit consisting of only
four inverters, four 3-input and gate, and one 4-input OR gate
using the simplified and simplified expression obtained in (b).
4-6. The Excess-3 coding system is a four-bit digital coding system for encoding all...
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x,...
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x, y, z) = (xy + xyz + xyz c. F(A,B,C,D) = 20,2,4,5,6,7,8,10,13,15) d. F(A,B,C,D) = A'B'C'D' + AB'C + B'CD' + ABCD' + BC'D e. F(A,B,C,D,E) = (0,1,4,5,16,17,21,25,29) 2. (12 pts) Consider the combinational logic circuit below and answer the following: a. Derive the Boolean expressions for Fi and F2 as functions of A, B, C, and D. b. List the complete truth table...
A Y = A ® B 1 1 1 1 1 Apply the idea of the truth table above and design a 3-bit comparator using XOR or XNOR gates of...
A Y = A ® B 1 1 1 1 1 Apply the idea of the truth table above and design a 3-bit comparator using XOR or XNOR gates of your choice. The design should be able to determine the equality between two 3-bit words. An LED should be turned ON only when every bit in "Word A" matches every corresponding bit in "Word B". Otherwise, the LED has to be OFF Hint for I/O port Definitions: Port Name Direction...
The circuit below takes as input a four bit unsigned binary number A A2 A Ao and generates a single output F. Design th...
The circuit below takes as input a four bit unsigned binary number A A2 A Ao and generates a single output F. Design the circuit where F will only be true if the decimal value of the input mod 3 is equal to 1 (F is true if the input mod 3- 1; F will be false otherwise). To implement F, you may use only the 8 x 1 multiplexor given below. You may not use any additional gates (such...
1. A 4-bit binary number is applied to a circuit on four lines D, C, B,...
1. A 4-bit binary number is applied to a circuit on four lines D, C, B, and A The circuit has a single output, F, which is true if the number is in the range 3 to 12, inclusive. Draw a truth table for this problem, then plot on a K-Map and obtain a simplified expression for F in terms of the inputs. Implement the circuit from the simplified expression using NOR gates only.
Design a circuit with three inputs (A, B, C) and two outputs (F1, F2). The first...
Design a circuit with three inputs (A, B, C) and two outputs (F1, F2). The first output F1 is logic 1 if the number of l’s in the binary number is less than the number of O's, otherwise F1 is logic 0. The second output F2 is 1 if the binary input is 2, 4, 5, 6,7 otherwise the second output F2 is logic 0. a. Derive the truth-table for F1 and F2 as a function of the 3 inputs....
Can you use Multisim or something similar. I got the truth table and design, but having...
Can you use Multisim or something similar. I got the truth table
and design, but having a hard time with the actual wiring.
I need to see where each cable and light bulb go.
3.4. Multiplexer Multiplexers are very useful components in digital systems. They transfer a large number of information units over a smaller number of channels, (usually one channel) under the control of selection signals. Fig. 3 is a 4-line to l-line MUX. In this circuit, lo, 11, 12,...
A Y = A+ B 1 1 1 1 1 1 Apply the idea of the truth table above and design a 3-bit comparator using XOR or XNOR gates of...
A Y = A+ B 1 1 1 1 1 1 Apply the idea of the truth table above and design a 3-bit comparator using XOR or XNOR gates of your choice. The design should be able to determine the equality between two 3-bit words. An LED should be turned ON only when every bit in "Word A" matches every corresponding bit in "Word B". Otherwise, the LED has to be OFF Hint for I/O port Definitions: Port Name MSB...
A digital logic circuit realizing the function F that has four inputs A, B, C, and...
A digital logic circuit realizing the function F that has four inputs A, B, C, and D. It only accepts inputs in the format: the three inputs A, B, and C are the binary representation of the digits 0 through 7 with A being the MSB and C being the LSB, and the input D has to be an odd-parity bit (i.e., the value of D is such that the number of l’s in the 4 inputs A, B, C,...
Problem A circuit consisting of 5 inputs and 2 outputs as shown below is used to...
Problem A circuit consisting of 5 inputs and 2 outputs as shown below is used to drive a BCD to 7-Segment Code Converter, as well as a 7-Segment Display. X2 In this circuit X acts as a control signal, when LOW, the circuit compares the 2-bit binary numbers represented by X2X3 and X4Xs. If the first number is greater than the second, the output Y,Y2 equals 1. If the second number is greater than the first, the output equals 2....
(a) Write a truth table. The input is 4-bit binary ABCD, A is
MSB, D is LSB. The output is also represented by x.
(b) Obtain an output expression in the form of a SOP.
(c) Use Boolean Algebra to design a circuit consisting of only
four inverters, four 3-input and gate, and one 4-input OR gate
using the simplified and simplified expression obtained in (b).
4-6. The Excess-3 coding system is a four-bit digital coding system for encoding all...
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x, y, z) = (xy + xyz + xyz c. F(A,B,C,D) = 20,2,4,5,6,7,8,10,13,15) d. F(A,B,C,D) = A'B'C'D' + AB'C + B'CD' + ABCD' + BC'D e. F(A,B,C,D,E) = (0,1,4,5,16,17,21,25,29) 2. (12 pts) Consider the combinational logic circuit below and answer the following: a. Derive the Boolean expressions for Fi and F2 as functions of A, B, C, and D. b. List the complete truth table...
A Y = A ® B 1 1 1 1 1 Apply the idea of the truth table above and design a 3-bit comparator using XOR or XNOR gates of your choice. The design should be able to determine the equality between two 3-bit words. An LED should be turned ON only when every bit in "Word A" matches every corresponding bit in "Word B". Otherwise, the LED has to be OFF Hint for I/O port Definitions: Port Name Direction...
The circuit below takes as input a four bit unsigned binary number A A2 A Ao and generates a single output F. Design the circuit where F will only be true if the decimal value of the input mod 3 is equal to 1 (F is true if the input mod 3- 1; F will be false otherwise). To implement F, you may use only the 8 x 1 multiplexor given below. You may not use any additional gates (such...
1. A 4-bit binary number is applied to a circuit on four lines D, C, B, and A The circuit has a single output, F, which is true if the number is in the range 3 to 12, inclusive. Draw a truth table for this problem, then plot on a K-Map and obtain a simplified expression for F in terms of the inputs. Implement the circuit from the simplified expression using NOR gates only.
Design a circuit with three inputs (A, B, C) and two outputs (F1, F2). The first output F1 is logic 1 if the number of l’s in the binary number is less than the number of O's, otherwise F1 is logic 0. The second output F2 is 1 if the binary input is 2, 4, 5, 6,7 otherwise the second output F2 is logic 0. a. Derive the truth-table for F1 and F2 as a function of the 3 inputs....
Can you use Multisim or something similar. I got the truth table
and design, but having a hard time with the actual wiring.
I need to see where each cable and light bulb go.
3.4. Multiplexer Multiplexers are very useful components in digital systems. They transfer a large number of information units over a smaller number of channels, (usually one channel) under the control of selection signals. Fig. 3 is a 4-line to l-line MUX. In this circuit, lo, 11, 12,...
A Y = A+ B 1 1 1 1 1 1 Apply the idea of the truth table above and design a 3-bit comparator using XOR or XNOR gates of your choice. The design should be able to determine the equality between two 3-bit words. An LED should be turned ON only when every bit in "Word A" matches every corresponding bit in "Word B". Otherwise, the LED has to be OFF Hint for I/O port Definitions: Port Name MSB...
A digital logic circuit realizing the function F that has four inputs A, B, C, and D. It only accepts inputs in the format: the three inputs A, B, and C are the binary representation of the digits 0 through 7 with A being the MSB and C being the LSB, and the input D has to be an odd-parity bit (i.e., the value of D is such that the number of l’s in the 4 inputs A, B, C,...
Problem A circuit consisting of 5 inputs and 2 outputs as shown below is used to drive a BCD to 7-Segment Code Converter, as well as a 7-Segment Display. X2 In this circuit X acts as a control signal, when LOW, the circuit compares the 2-bit binary numbers represented by X2X3 and X4Xs. If the first number is greater than the second, the output Y,Y2 equals 1. If the second number is greater than the first, the output equals 2....
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