Evaluate the Boolean equation F = ((a AND NOT(b)) OR NOT(a AND c)) for the given values of variables a, b and c:
A. a=0, b=1, c=0 ANS =
B. a=0, b=1, c=1 ANS =
C. a=1, b=0, c=0 ANS =
D. a=1, b=1, c=1 ANS =
Evaluate the Boolean equation F = ((a AND NOT(b)) OR NOT(a AND c)) for the given...
Evaluate the Boolean equation F = ((a AND NOT(b)) OR NOT(a AND c)) for the given values of variables a, b and c: A. a=0, b=1, c=0 ANS = B. a=0, b=1, c=1 ANS = C. a=1, b=0, c=0 ANS = D. a=1, b=1, c=1 ANS =
Given the semi-simplified Boolean equation below
a) draw the K-map for F':
b) find the simplified SOP equation for F.
F = (A + C + D) (B+C) (A+B+D (B+C)(B+C+ D)
1- Given the following Boolean function in product of sums (Maxterms); F(b,c,d) = (b+c+d) (b+c+d) (b +c+d) (b+c+d) i- Use De Morgan's rule to convert Finto F ii- Complete the truth table (Table 1) iii- Simplify Fusing Boolean algebra iv- Count the number of gates in the original Fand insert them in Table.2 V- Count the number of gates in the simplified F (convert the simplified F'in part iii back to F) and insert them in Table.3 i- F' Table.1...
Convert the following Boolean equation to canonical sum-of-minterms form: F(a,b,c) = b'c' Convert the following Boolean equation to canonical sum-of-minterms form: F(a,b,c) = abc' + a'c
1. Consider the Boolean function F(x, y) = x + y, how many cells in the Kmap representing this function have value of “1”? A. 3 B. 2 C. 4 D. 1 2.Using Kmap for simplification, we can select multiple smaller groups (instead of a larger group) as long as all “1” are selected. A. False B. True 3 In Kmap representation, how many values of “0” and “1” two neighboring minterms can differ?2. Using Kmap for simplification, we can...
Simplify the given boolean expression (~ this symbol represents NOT) F = A + ~A*B + ~A*~B*C + ~A*~B*~C*D + ~A*~B*~C*~D*E
Find the complement of the following expressions b) (AB+C)0%E 2. Given the Boolean function F -xy + x'y' y'z 1. Implement it with AND, OR, and inverter 2. Implement it with OR and inverter gates, and 3. Implement it with AND and inverter gate 3. Express the following function in sum of minterms and product of maxterms: a) F(A,B,C,D) - B'DA'D BD b) F (AB+C)(B+C'D) 4.Express the complement of the following function in sum of minterms a) F (A,B,C,D)-2 (0,2,6,11,13,14)...
Evaluate the function for the given values. f(x) = [[ x ]] (a) f(1.1) (b) f(1.9) (c) f(-2.5) (d) f(5/2)
1- Write the unsimplified POS Boolean equation for F from the
Truth Table.
F =
2- Write the unsimplified SOP Boolean equation for F' from the
Truth Table.
F' =
3- Using only DeMorgan’s Theorem (show steps) and the
unsimplified POS Boolean equation,
find.
maxterms minterms 0 1 0 1 0 1 10 101
(18 pts) Given the Boolean function F(A, B, C, D) = Σ (0, 1, 2, 3, 4, 5, 7, 8, 10, 12, 14) a. Draw a Karnaugh Map. b. Identify the prime implicants of F. c. Identify all Essential Prime Implicants of F. d. Derive minimal SOP expressions for F e. Derive minimal POS expressions for F. f. Assume each inverter has a cost of 1, each 2-input NAND gate has a cost of 2, and 4-input NAND gate has...