Computer Science: Computer Architecture 3. Do the following problems: Consider a circuit with 4 binary inputs....
Computer Science: Computer Architecture
3. Do the following problems:
Consider a circuit with 4 binary inputs. It counts the number of 1’s on its input and expresses (encodes or represents) the count as binary values on 2 output lines.
a. Draw a truth table to represent the functions of the circuit.
b. Provide SOP expressions for the output lines.
c. Simplify the SOP expressions.
d. Implement the circuit using 2-input NAND gates.
4. do the fowolling problems:
a. Verify: xyz + xyz’ +x’yz + xyz’ + x’yz’ = y.
b. Convert to simplified sum of product (SOP) form:
y(z+w)’ + x(z’+y’)(w’) + (zw)(x’y)’.
c. Write a simplified SOP expression for F(a, b, c) = (a + bc + b’c’)(abc’)’.
Homework Answers
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Computer Science: Computer
Architecture
3. Do the following problems:
Consider a circuit with 4 binary inputs....
DESIGN SECTION You are going to design which has 4 inputs wi L V. and 4...
DESIGN SECTION You are going to design which has 4 inputs wi L V. and 4 outputs A, B.Cand D. The features of the circuit are; a combinational eircuit Inputs (w, x, y, z) Binary Code Outputs (A, B, C, DGray Code The circuit encodes Input Bit Sequence (Binary Code) to Gray Code. You are going to; a) Fill the truth table according to your design. b) Find the simplified AND-OR expressions for all 4 outputs (Sum of Product) by...
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DESIGN SECTION Before the experiment, you are going to design a circuit which has 4 inputs...
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Please show step by step, complete solution and explain if possible. Thank you so much. 3....
Please show step by step, complete solution and explain if
possible. Thank you so much.
3. Six-Sided Die Display Circuit In this problem, you will design a logic circuit to display the six faces of a die using 7 LEDs. For example, the value 5 is shown on the display below. Your circuit takes three bits XYZ as input and outputs the patterns shown in the table below, by lighting up the correspondind LEDs. For example, for the value 5,...
please anwer all the part of this lab and please use multisim. Lab 4: Basic Logic...
please anwer all the part of this lab and please use
multisim.
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Problem 1: consider the following circuit with 4 inputs A, B, c, D, and 3 outputs...
Problem 1:
consider the following circuit with 4 inputs A, B, c, D, and 3 outputs F, G, H. Each input/output is connected to an input/output port. 3-input OR gate Figure 1 a) Determine the Boolean algebra equations relating each input to each output of the circuit. b) Create the truth tables corresponding to the equations obtained above. There should be one truth table per equation c) Produce the Karnaugh maps corresponding to the truth tables d) Determine simplified Boolean...
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x,...
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Design a four-bit combinational circuit 2'scomplementer. (The output generates the 2's complement of the input binary...
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Please solve the problems from 1_5 Digital system Complete the following homework problems. Show all work...
Please solve
the problems from 1_5
Digital
system
Complete the following homework problems. Show all work (making sure it is legible) and circle all answers for clarity Problem 1 w3 w4 B w1 a) Determine Boolean functions for intermediate outputs w,w2,w3, and w4 as well as the output signals X and Y. b) Construct a truth table showing the intermediate outputs wl,w2,w3, and w4 as well as the output signals X and Y c) Use K-maps to find simplified expressions...
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Please show step by step, complete solution and explain if
possible. Thank you so much.
3. Six-Sided Die Display Circuit In this problem, you will design a logic circuit to display the six faces of a die using 7 LEDs. For example, the value 5 is shown on the display below. Your circuit takes three bits XYZ as input and outputs the patterns shown in the table below, by lighting up the correspondind LEDs. For example, for the value 5,...
please anwer all the part of this lab and please use
multisim.
Lab 4: Basic Logic Gates and Multisim Tools Objectives: • Learn to use the Logic Converter in Multisim to generate truth tables, design circuits and simplify logic expressions. • Build logic circuits using basic TTL gates. Software and Materials: • Multisim One 7400 (quad 2-input NAND gate) IC chip Procedure: 1. Write a logic expression for the circuit below. Have your instructor check the expression. А B с...
2. [20 points] A circuit with 4 inputs has to realize the following 3 functions z, w)-n (0, 1,3,4,9, 11) g (x, y,z, w)-2 (5, 8,9, 10, 11, 12, 13, 14, 15) In what follows the cost a circuit is defined as: Number of gates used + mumber of inputs to these es but not counting NOTs. So, assume that input variables are available in both complemented and un-complemented forms. (a) [10 points] Find simple SOP expressions using K-maps for...
Problem 1:
consider the following circuit with 4 inputs A, B, c, D, and 3 outputs F, G, H. Each input/output is connected to an input/output port. 3-input OR gate Figure 1 a) Determine the Boolean algebra equations relating each input to each output of the circuit. b) Create the truth tables corresponding to the equations obtained above. There should be one truth table per equation c) Produce the Karnaugh maps corresponding to the truth tables d) Determine simplified Boolean...
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Design a four-bit combinational circuit 2'scomplementer. (The output generates the 2's complement of the input binary number.) Construct a 5-to-32-line decoder with enable by using 3-to-8 and 2-to-4-line decoders with enables For the decimal-to-BCD encoder given in the text (Slide 33 of chapter 5), assume by error that the 6 input and the 3 input are both HIGH. What is the output code? Is it a valid BCD code? Construct a 16 times 1 multiplexer with 4 times 1 multiplexers....
Please solve
the problems from 1_5
Digital
system
Complete the following homework problems. Show all work (making sure it is legible) and circle all answers for clarity Problem 1 w3 w4 B w1 a) Determine Boolean functions for intermediate outputs w,w2,w3, and w4 as well as the output signals X and Y. b) Construct a truth table showing the intermediate outputs wl,w2,w3, and w4 as well as the output signals X and Y c) Use K-maps to find simplified expressions...
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