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6. Based on the truth table shown in Table 1.0 with FOUR (4) inputs (A, B, C and D), answer the following questions. Table 1.0: Truth table for four variables input AO А O 0 O oooo 1 1 1 1 1 1 1 1 BOOOO 1 1 1 1 OOOO 1 1 1 1 C 0 0 1 0 1 1 0 1 Oo 1 1 0 0 D 0 1 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 F(output) 1 0 a) Write the Sum-of-Product (SOP) expression. 0 O 0 1 1 0 0 O ooo 0 expression b) Create a Karnaugh Map based on the answer from 6(a). Show how to group the 1's. c) Simplify the Sum-of-Product expression from Karnaugh Map in 6(b). Draw a new logic circuit based on the answer from 6(c).

6. Based on the truth table shown in Table 1.0 with FOUR (4) inputs (A, B, C and D), answer the following questions. Table 1.0: Truth table for four variables input AO А O 0 O oooo 1 1 1 1 1 1 1 1 BOOOO 1 1 1 1 OOOO 1 1 1 1 C 0 0 1 0 1 1 0 1 Oo 1 1 0 0 D 0 1 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 F(output) 1 0 a) Write the Sum-of-Product (SOP) expression. 0 O 0 1 1 0 0 O ooo 0 expression b) Create a Karnaugh Map based on the answer from 6(a). Show how to group the 1's. c) Simplify the Sum-of-Product expression from Karnaugh Map in 6(b). Draw a new logic circuit based on the answer from 6(c).

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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6. Based on the truth table shown in Table 1.0 with FOUR (4) inputs (A, B, C and D), answer the following questions. Table 1.0: Truth table for four variables input B C D 0 0 0 0 1 A oooooooo 0 1 1 1 1 1 1 OOO 0 1 1 1 1 ||0||0 1 1 1 OO 0 1 1 0 OO 0 1 1 oo 1 0 0 0 1 0 1 O 1 0 1 0 1 F(output) 1 0 1 0 0 1 0 1 1 0 1 a) Write the Sum-of-Product (SOP) expression. 0 O O O expression b) Create a Karnaugh Map based on the answer from 6(a). Show how to group the 1's. c) Simplify the Sum-of-Product expression from Karnaugh Map in 6(b). d) Draw a new logic circuit based on the answer from 6(c).
Transcribed Image Text:6. Based on the truth table shown in Table 1.0 with FOUR (4) inputs (A, B, C and D), answer the following questions. Table 1.0: Truth table for four variables input B C D 0 0 0 0 1 A oooooooo 0 1 1 1 1 1 1 OOO 0 1 1 1 1 ||0||0 1 1 1 OO 0 1 1 0 OO 0 1 1 oo 1 0 0 0 1 0 1 O 1 0 1 0 1 F(output) 1 0 1 0 0 1 0 1 1 0 1 a) Write the Sum-of-Product (SOP) expression. 0 O O O expression b) Create a Karnaugh Map based on the answer from 6(a). Show how to group the 1's. c) Simplify the Sum-of-Product expression from Karnaugh Map in 6(b). d) Draw a new logic circuit based on the answer from 6(c).
Expert Solution
Step 1
Decimal value A B C D F(output) expression
0 0 0 0 0 1  
1 0 0 0 1 0  
2 0 0 1 0 1  
3 0 0 1 1 0  
4 0 1 0 0 0  
5 0 1 0 1 1  
6 0 1 1 0 0  
7 0 1 1 1 1  
8 1 0 0 0 1  
9 1 0 0 1 0  
10 1 0 1 0 1  
11 1 0 1 1 0  
12 1 1 0 0 0  
13 1 1 0 1 0  
14 1 1 1 0 0  
15 1 1 1 1 0  
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