Digital Fundamentals (11th Edition)
11th Edition
ISBN: 9780132737968
Author: Thomas L. Floyd
Publisher: PEARSON
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Chapter 4, Problem 10ST
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Chapter 4 Solutions
Digital Fundamentals (11th Edition)
Ch. 4.1 - Prob. 1CUCh. 4.1 - Prob. 2CUCh. 4.1 - Prob. 3CUCh. 4.2 - Prob. 1CUCh. 4.2 - Apply the distributive law to the expression...Ch. 4.3 - Prob. 1CUCh. 4.4 - Replace the AND gates with OR gates and the OR...Ch. 4.4 - Construct a truth table for the circuit in...Ch. 4.5 - Simplify the following Boolean expressions:...Ch. 4.5 - Implement each expression in Question 1 as...
Ch. 4.6 - Identify each of the following expressions as SOP,...Ch. 4.6 - Prob. 2CUCh. 4.6 - Convert each POS expression in Question 1 to...Ch. 4.7 - If a certain Boolean expression has a domain of...Ch. 4.7 - Prob. 2CUCh. 4.7 - Prob. 3CUCh. 4.8 - Prob. 1CUCh. 4.8 - Prob. 2CUCh. 4.8 - Prob. 3CUCh. 4.8 - Prob. 4CUCh. 4.9 - Lay out Karnaugh maps for three and four...Ch. 4.9 - Prob. 2CUCh. 4.9 - Prob. 3CUCh. 4.10 - What is the difference in mapping a POS expression...Ch. 4.10 - Prob. 2CUCh. 4.10 - Prob. 3CUCh. 4.11 - Prob. 1CUCh. 4.11 - Prob. 2CUCh. 4.12 - What are the advantages of Boolean logic...Ch. 4.12 - How does Boolean logic simplification benefit a...Ch. 4.12 - Name the three levels of abstraction for a...Ch. 4.12 - Prob. 1ECh. 4.12 - Prob. 2ECh. 4.12 - Prob. 3ECh. 4.12 - Prob. 4ECh. 4.12 - Prob. 5ECh. 4.12 - Prob. 6ECh. 4.12 - Prob. 7ECh. 4.12 - Prob. 8ECh. 4.12 - Prob. 9ECh. 4.12 - Prob. 10ECh. 4.12 - Show the logic for segment d.Ch. 4.12 - Show the logic for segment eCh. 4.12 - Prob. 13ECh. 4.12 - Prob. 14ECh. 4.12 - Prob. 15ECh. 4 - Variable, complement, and literal are all terms...Ch. 4 - Addition in Boolean algebra is equivalent to the...Ch. 4 - Prob. 3TFQCh. 4 - The commutative law, associative law, and...Ch. 4 - Prob. 5TFQCh. 4 - When a Boolean variable is multiplied by its...Ch. 4 - Prob. 7TFQCh. 4 - SOP means series of productsCh. 4 - Karnaugh maps can be used to simplify Boolean...Ch. 4 - A4-variable Karnaugh map has eight cells.Ch. 4 - VHDL is a type of hardware definition languageCh. 4 - A VHDL program consists of an entity and an...Ch. 4 - Prob. 1STCh. 4 - The Boolean expression A + B + C is a sum term a...Ch. 4 - The Boolean expression ABCD is a sunn term a...Ch. 4 - The domain of the expression ABCD+AB+CD+B A and D...Ch. 4 - Prob. 5STCh. 4 - Prob. 6STCh. 4 - Prob. 7STCh. 4 - Which one of the following is not a valid rule of...Ch. 4 - Which of the following rules states that if one...Ch. 4 - Prob. 10STCh. 4 - The Boolean expression X = AB + CD represents two...Ch. 4 - An example of a sum-of-products expression is...Ch. 4 - Prob. 13STCh. 4 - An example of a standard SOP expression is...Ch. 4 - Prob. 15STCh. 4 - Prob. 16STCh. 4 - Prob. 17STCh. 4 - VHDL is a type of programmable logic hardware...Ch. 4 - In VHDL, a port is a type of entity a type of...Ch. 4 - Using VDHL, a logic circuits inputs and outputs...Ch. 4 - Using Boolean notation, write an expression that...Ch. 4 - Write an expression that is a 1 only if all of its...Ch. 4 - Write an expression that is a 1 when one or more...Ch. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Identify the Boolean rule(s) on which each of the...Ch. 4 - Prob. 9PCh. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Write the Boolean expression for each of the logic...Ch. 4 - Write the Boolean expression for each of the logic...Ch. 4 - Draw the logic circuit represented by each of the...Ch. 4 - Draw the logic circuit represented by each...Ch. 4 - Draw a logic circuit for the case where the...Ch. 4 - Develop the truth table for each of the circuits...Ch. 4 - Construct a truth table for each of the following...Ch. 4 - Using Boolean algebra techniques, simplify the...Ch. 4 - Using Boolean algebra, simplify the following...Ch. 4 - Prob. 21PCh. 4 - Determine which of the logic circuits in Figure...Ch. 4 - Convert the following expressions to...Ch. 4 - Prob. 24PCh. 4 - Define the domain of each SOP expression in...Ch. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Develop a truth table for each of the SOP...Ch. 4 - Develop a truth table for each of the standard POS...Ch. 4 - Develop a truth table for each of the standard POS...Ch. 4 - For each truth table in Table 4-15 0, derive a...Ch. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Expand each expression to a standard SOP form:...Ch. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Use the Karnaugh map method to implement the...Ch. 4 - Solve Problem 46 for a situation in which the last...Ch. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - For the function specified in Table 4—16,...Ch. 4 - Determine the minimum POS expression for the...Ch. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - List the minterms in the expression...Ch. 4 - Create a table for the number of 1 s in the...Ch. 4 - Create a table of first level minterms for the...Ch. 4 - Create a table of second level minterms for the...Ch. 4 - Create a table of prime implicants for the...Ch. 4 - Determine the final reduced expression for the...Ch. 4 - Write a VHDL program for the logic circuit in...Ch. 4 - Prob. 61PCh. 4 - Prob. 62PCh. 4 - Explain the purpose of the invalid code detector.Ch. 4 - For segment c, how many fewer gates and inverters...Ch. 4 - Repeat Problem 64 for the logic for segments d...Ch. 4 - The logic for segments b and c in Figure 4-53...Ch. 4 - Redesign the logic for segment a in the Applied...Ch. 4 - Prob. 68PCh. 4 - Design the invalid code detector.Ch. 4 - Open file P04-70. For the specified fault, predict...Ch. 4 - Open file P04-71. For the specified fault, predict...Ch. 4 - Open file P04-72. For the observed behavior...
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- Dr. Morgan's theory is applied to the phrase ((x+y)'+z)' and yields ________ I (x+y)z ii) (x'+y')z iii) (x+y)z' iv) (x'+y')z'arrow_forward. Apply De-Morgan’s theorem to the following expressions. (a) ((A+BC’)’+D(E+F’)’)’ (b) ((A+B+C)D)’ (c) (ABC+DEF)’ (d) (AB’+CD’+EF)’arrow_forwardUse DeMorgan’s Theorems to simplify the following expressions: F = (B’D) (A’ + C’D) + (BC’+D’A)arrow_forward
- 9)DeMorgan's Law states that _. A. (A+B)' = A'*B B. (AB)' = A' + B' C. (AB)' = A + B D. (AB)' = A' + Barrow_forwardComputer science need correct Answer Simplify the following algebra expressions, (i) x'+y'+ xyz' (ii) A + A'B + A'B'C + A'B'C'Darrow_forwardMake truth tables, then use them to create equations in SOP and POS format. Explain your steps.1) xyz+ x~(yz) + ~(xyz) 2) (x + y)(x + z)(~x + z)arrow_forward
- Simplify the expression using Boolean algebra theorem and postulates: F=(X+Z')(Z+WY)'+(VZ+WX')(Y+Z)'.arrow_forwardhow this boolean expression works in what terms of the laws?: x'y'z' + x'y'z + x'yz + xy'z = x'y'(z+z') + z(x'y + xy') = x'y' + x'z + y'z I understood z+z' becomes 1 by the the inverse law, but how z(x'y + xy') goes x'z + y'z?arrow_forward6: Prove the identity of each of the following Boolean equations, usingalgebraic manipulation:(a) XY + XY + XY = X + Y(b) AB + BC + AB + BC = 1(c) Y + XZ + XY = X + Y + Z(d) XY + YZ + XZ + XY + YZ = XY + XZ + YZarrow_forward
- Simplify the following equation using Boolean Identities: ~x~yz + ~xy~z + x~y~z + x~yz + xy~z + xyz Construct truth tables for the following: xyz+ x~(yz) + ~(xyz) (x + y)(x + z)(~x + z) Use the truth tables from the previous question to create equations in SOP and POS format. Develop truth tables for the following equations: a) (A+B)(B+C)b) ~A(B + C)c) (A+B)^(CD)arrow_forwardUse DeMorgan’s theorems to convert the expression y= [RS’ T + Q’]’arrow_forwardSimplify the following applying Boolean algebra theorems: 1. ABC + A' + AB'C 2. A'B'C' + A'B'C + A'C' 3. (AB' (C+BD) + A'B') Carrow_forward
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