![Question 7[ 20 Marks ] 1. The number of full and half-adders required to add 16-bit numbers is A. 8 half-adders, 8 full-adder](http://img.homeworklib.com/questions/f9838ca0-24a1-11eb-a6c4-c11dc25e8790.png?x-oss-process=image/resize,w_560)
![D. 4 4. [AB(C+BD)+AB]C. which of the following equation is equivalen this equation A. ABC +ABC B. A+BC C. BC D. BC 5.](http://img.homeworklib.com/questions/fc750080-24a1-11eb-b214-4b261563614c.png?x-oss-process=image/resize,w_560)
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Question 7[ 20 Marks ] 1. The number of full and half-adders required to add 16-bit...
1. Using only half adders, design a four-bit incrementer circuit (a circuit that adds 1 to...
1. Using only half adders, design a four-bit incrementer circuit (a circuit that adds 1 to a four- bit binary number). 2. Using only 2-to-4 line decoders with enable, construct a 4-to-16 line decoder. 3. Using a decoder and external gates, design the combinational circuit defined by the following three Boolean functions: F = x'y'z' + x2 F2 = xy'z' + x'y F3 = x'y'z + xy
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...
Using the below two 1-bit half adders implementation, both function F and G can be algebraically...
Using the below two 1-bit half adders implementation, both function F and G can be algebraically written as? F= s s HA Carry HA Carry s HA Carry a) F- AB+C, G-ABS Ob) F-A OB OC, G-ABC OOF-AXNOR B, G- AB XNOR C d) F- A+B+C, G-ABC e) None of the Above
Problem 3 [10 points a) (5 points) Construct a circuit that takes as input a 3-bit number X-XXXo ...
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...
Prof. Tassos Dimitriou Homework 3 Deadline: Monday, April 1, 2019, IN CLASS Problem 3 [10 points ...
problem3
Prof. Tassos Dimitriou Homework 3 Deadline: Monday, April 1, 2019, IN CLASS Problem 3 [10 points a) (5 points) Construct a circuit that takes as input a 3-bit number X - X2XiXo and increments it by one. Le. 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-xx,xo and decrements it by one. 1. (5 points) Show the truth table of the circuit....
1. Consider the following 7-bit binary sequence "1010001" a. Assuming the sequence is 7-bit unsigned binary,...
1. Consider the following 7-bit binary sequence "1010001" a. Assuming the sequence is 7-bit unsigned binary, convert it to decimal. [5 points] b. Assuming the sequence is 7-bit 2's complement format, convert it to decimal. (5 points c. What is the range of numbers (in decimal) that can be represented using 7-bit binary, signed 2's complement format? [5 points 2. Consider the following Boolean function: F(x, y, z) = (x + y)z'+xy! a. Implement the circuit for the function using...
·20) |19) 118) 117) 116) 115) Question 1.(20 points, I point each. Put answers into the...
·20) |19) 118) 117) 116) 115) Question 1.(20 points, I point each. Put answers into the above table) 13)一114) 2)- ) S-bit signed binary data can represent the decimal values from 0 to 256 2) 10111 is the two's complement representation of b. False a. True a. -23 b.-9 c.-7 d. +22 e.+7 3) 01110 is the two's complement representation of a.-13 b.-15 c.-9 d.+14 e.+18 a.A. b, B, c.A+B d, B c, (AB). a. Trueb. False a. True a....
5) Decoders: Given the following circuit, S0 and S1 are computed using a 4-2 priority encoder with the priorities indicated on the figure. (hint: IDLE signal is always 0, if any of the inputs...
5) Decoders: Given the following circuit, S0 and S1 are computed using a 4-2 priority encoder with the priorities indicated on the figure. (hint: IDLE signal is always 0, if any of the inputs 10,11,12, or 13 is 1) 6 points) 4-to-2 Priority Encoder 10 YO YI 13 IDLE 13> 11 > 12>10 12 Full c Adder So Fill the following table showing the output signals S0 and SI given the input signals w, x, y, a) and z. Prof...
Question 1 10 pts 1) Write a full sentence to answer each question. a) What information...
Question 1 10 pts 1) Write a full sentence to answer each question. a) What information do you need in order to find an equation for a plane? b) Is 3x – 2y + 4z — 7 an equation for a plane? Explain. c) What information do you need in order to find parametric equations for a line? d) Are x = -1+ 3t, y= 2 + 4t, z= -3 + 7t, parametric equations for a line? Explain 2) Decide...
f Question 1 (40 marks) (Compulsory) Answer each sub-question, a) to j). Long answers or explanations are not required. Full marks will be awarded for succinct, comect answers, whether as mathematica...
f Question 1 (40 marks) (Compulsory) Answer each sub-question, a) to j). Long answers or explanations are not required. Full marks will be awarded for succinct, comect answers, whether as mathematical expressions, suitably labelled dlagrams, or brief text. If you use standard symbols in your answers there is no need to spend time defining them, unless asked to do so. a) Explain why the direction of the velocity of a particle is tangential to its trajectory. [4 marks] b) What...
1. Using only half adders, design a four-bit incrementer circuit (a circuit that adds 1 to a four- bit binary number). 2. Using only 2-to-4 line decoders with enable, construct a 4-to-16 line decoder. 3. Using a decoder and external gates, design the combinational circuit defined by the following three Boolean functions: F = x'y'z' + x2 F2 = xy'z' + x'y F3 = x'y'z + xy
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...
Using the below two 1-bit half adders implementation, both function F and G can be algebraically written as? F= s s HA Carry HA Carry s HA Carry a) F- AB+C, G-ABS Ob) F-A OB OC, G-ABC OOF-AXNOR B, G- AB XNOR C d) F- A+B+C, G-ABC e) None of the Above
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...
problem3
Prof. Tassos Dimitriou Homework 3 Deadline: Monday, April 1, 2019, IN CLASS Problem 3 [10 points a) (5 points) Construct a circuit that takes as input a 3-bit number X - X2XiXo and increments it by one. Le. 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-xx,xo and decrements it by one. 1. (5 points) Show the truth table of the circuit....
1. Consider the following 7-bit binary sequence "1010001" a. Assuming the sequence is 7-bit unsigned binary, convert it to decimal. [5 points] b. Assuming the sequence is 7-bit 2's complement format, convert it to decimal. (5 points c. What is the range of numbers (in decimal) that can be represented using 7-bit binary, signed 2's complement format? [5 points 2. Consider the following Boolean function: F(x, y, z) = (x + y)z'+xy! a. Implement the circuit for the function using...
·20) |19) 118) 117) 116) 115) Question 1.(20 points, I point each. Put answers into the above table) 13)一114) 2)- ) S-bit signed binary data can represent the decimal values from 0 to 256 2) 10111 is the two's complement representation of b. False a. True a. -23 b.-9 c.-7 d. +22 e.+7 3) 01110 is the two's complement representation of a.-13 b.-15 c.-9 d.+14 e.+18 a.A. b, B, c.A+B d, B c, (AB). a. Trueb. False a. True a....
5) Decoders: Given the following circuit, S0 and S1 are computed using a 4-2 priority encoder with the priorities indicated on the figure. (hint: IDLE signal is always 0, if any of the inputs 10,11,12, or 13 is 1) 6 points) 4-to-2 Priority Encoder 10 YO YI 13 IDLE 13> 11 > 12>10 12 Full c Adder So Fill the following table showing the output signals S0 and SI given the input signals w, x, y, a) and z. Prof...
Question 1 10 pts 1) Write a full sentence to answer each question. a) What information do you need in order to find an equation for a plane? b) Is 3x – 2y + 4z — 7 an equation for a plane? Explain. c) What information do you need in order to find parametric equations for a line? d) Are x = -1+ 3t, y= 2 + 4t, z= -3 + 7t, parametric equations for a line? Explain 2) Decide...
f Question 1 (40 marks) (Compulsory) Answer each sub-question, a) to j). Long answers or explanations are not required. Full marks will be awarded for succinct, comect answers, whether as mathematical expressions, suitably labelled dlagrams, or brief text. If you use standard symbols in your answers there is no need to spend time defining them, unless asked to do so. a) Explain why the direction of the velocity of a particle is tangential to its trajectory. [4 marks] b) What...
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