Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
Bartleby Related Questions Icon

Related questions

Question

please answer #3 in entirety. ALL PARTS

3. The exclusive NOR (XNOR) function can be expressed as follows:
(a + b)' = XNOR(a, b) = Σm(0, 3)
(a) Write the canonical SOP and POS expressions for the function.
(b) Draw logic diagrams using AND, OR and NOT gates that represent the SOP and
POS expressions.
(c) Assuming that the cost of a gate is 1+ number of gate inputs (same as what was
discussed in class), determine the cost of the SOP and POS logic diagrams in
part 3b. You must explain your answer by showing the cost of each gate in your
circuit and the total cost.
(d) Use Boolean algebra to show that the canonical SOP and POS expressions are
equal.
expand button
Transcribed Image Text:3. The exclusive NOR (XNOR) function can be expressed as follows: (a + b)' = XNOR(a, b) = Σm(0, 3) (a) Write the canonical SOP and POS expressions for the function. (b) Draw logic diagrams using AND, OR and NOT gates that represent the SOP and POS expressions. (c) Assuming that the cost of a gate is 1+ number of gate inputs (same as what was discussed in class), determine the cost of the SOP and POS logic diagrams in part 3b. You must explain your answer by showing the cost of each gate in your circuit and the total cost. (d) Use Boolean algebra to show that the canonical SOP and POS expressions are equal.
(e) Draw a logic diagram that implement the XNOR function using only NAND
gates. You must explain you placement of bubbles and any additional gates.
(f) Draw a logic diagram that implements the XNOR function using only NOR
gates. Again you must explain you placement of bubbles and any additional
gates.
(g) Use Boolean algebra to show that your logic diagrams in parts 3e and 3f produce
the POS or SOP expressions in part 3a. Here you must start with (xy)' for each
NAND gate with inputs x, y. Similarly, you must start with (x+y)' for each NOR
gate with inputs x, y.
expand button
Transcribed Image Text:(e) Draw a logic diagram that implement the XNOR function using only NAND gates. You must explain you placement of bubbles and any additional gates. (f) Draw a logic diagram that implements the XNOR function using only NOR gates. Again you must explain you placement of bubbles and any additional gates. (g) Use Boolean algebra to show that your logic diagrams in parts 3e and 3f produce the POS or SOP expressions in part 3a. Here you must start with (xy)' for each NAND gate with inputs x, y. Similarly, you must start with (x+y)' for each NOR gate with inputs x, y.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Computer Science
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Database System Concepts
Computer Science
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:McGraw-Hill Education
Text book image
Starting Out with Python (4th Edition)
Computer Science
ISBN:9780134444321
Author:Tony Gaddis
Publisher:PEARSON
Text book image
Digital Fundamentals (11th Edition)
Computer Science
ISBN:9780132737968
Author:Thomas L. Floyd
Publisher:PEARSON
Text book image
C How to Program (8th Edition)
Computer Science
ISBN:9780133976892
Author:Paul J. Deitel, Harvey Deitel
Publisher:PEARSON
Text book image
Database Systems: Design, Implementation, & Manag...
Computer Science
ISBN:9781337627900
Author:Carlos Coronel, Steven Morris
Publisher:Cengage Learning
Text book image
Programmable Logic Controllers
Computer Science
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education