Using the switching algebra theorems minimize the following logic functions:
F = A’C’ + A’BC + B’C
F = A'C' + A'BC + B'C = A'(B+B')C' + A'BC + B'C = A'(B+B')C' + A'BC + B'C + B'C = A'(B+B')C' + A'BC + (A+A')B'C + B'C = A'BC' + A'B'C' + A'BC + AB'C + A'B'C + B'C = A'BC' + A'B'C' + A'BC + A'B'C + B'C = A'(B'C'+BC'+B'C+BC) + B'C = A' + B'C Answer: A' + B'C
Using the switching algebra theorems minimize the following logic functions: F = A’C’ + A’BC +...
Using the theorems of switching algebra to rewrite the following expressions using as few inversions as possible (complemented parentheses are allowed): B'*C + A*C*D' +A'*C +D*B' + E*(A+C)*(A'+D')
5. Apply Boolean algebra theorems to minimize the following expression. x(y + xy) + xy(x + yy) 6. Consider the following digital circuit diagram. Write the corresponding logic expression for f and the truth table. D A $(91, 02, ) f(x1, X2, X3)
CS1400 Sprin Homework 01 - Due date 1.Simplify the following functions using ONLY Boolean Algebra Theorems. For each resulting simplified function, sketch the logic circuit using AND, OR, and NOT gates. (20 points) F (A+C+ D(B+C+D(A+B+C) F B(C+A)+AB F (Z+XXZ+D+x) F= (.
1. For the Switching Algebra write the truth table of the
following Logical Functions.
a.) Write schematic and truth table resulting from:
F = A' BC + B' (A + C)
b.) Write the equation and the resulting truth table:
simplify expression using theorems of boolean algebra
Simplify expression using theorems of boolean algebra A middot B bar middot C bar + A bar B bar C bar + A bar BC bar + A bar B bar C
Simplify the following logic function using Boolean algebraic methods. Show your works. F = abc + abc’ + ab’c + a’bc
Procedure Given the following switching functions with four inputs, a, b, c, and d and three outputs, F2, F1, Fo, F2 (a, b,c,d) = Em (3,4,6,9, 11) F (a, b, c, d) =m (2, 4, 8, 10, 11, 12) Fo (a, b, c, d) =ăm (4, 6, 9, 14, 15) 1. Design the switching functions using 8:1 MUXs. 2. Design the switching using 4:16 Decoder and minimal logic gates. 3. Design the switching functions using a ROM. 4. Design a...
3. Using our knowledge of De Morgan's theorems and the answer the following questions: What is Boolean algebra? b. What is De Morgan's theorems? c. Simply the following Boolean expression using De Morgan Boolean algebra hoe F(X,Y,Z) = X Y Z + X Y Z + X - Y + Z
2.55 Minimize the following functions using the Quine--McCluskey method. (a) f(A,B,C,D) = m(0,2,4,5,7,9,11,12) (b) f(A,B,C,D,E) = m(0,1,2,7,9,11,12,23,27,28) 2.56 Use the Quine-McCluskey method to minimize the following functions with don't cares. (a) f(A,B,C,D) = m(0,6,9,10,13)+d(1,3,8) (b) f(A,B,C,D) = m(1,4,7,10,13)+d(5,14,15) et autorit fiinctione rein the MA techninio 2.55 Minimize the following functions using the Quine--McCluskey method. (a) f(A,B,C,D)= m(0,2,4,5,7,9,11,12) (b) f(A,B,C,D,E)= m(0,1,2,7,9,11,12,23,27,28) 2.56 Use the Quine-McCluskey method to minimize the following functions with don't cares. (a) f(A,B,C,D) = m(0,6,9,10,13)+d(1,3,8) (b) f(A,B,C,D) =...
digital logic design
1. (15 points) Minimize the following function using the K-map. f(A,B,C,D) = m(0,1,2,5,12,13,14,15) 2. (15 Points) Plot the following function on the K-map and determine the minterm list. f(A,B,C,D) = BCD + ABC + ACD + BCD + ABC