5.) Write the logic expressions for the following functions and use the relation in Question 4...
1. For each of the following logic expressions, complete a Karnaugh map (K-map) and use it to find the minimal logic expression. (a) F= ABC+ BT D+CD + BCD (b) G JKL M+JKLM+7RM +KL+ JLM
please answers all of them!
1. Simplify, using algebraic manipulations, the following Boolean expressions to a mini- mum number of terms and factors. (a) XYZ + XY + XYZ (b) XYZ + XZ 2. Find the complement of the following expression: (a) XY + XY 3. Using DeMorgan's Theorem, express the following function .... (a) F= XY+XY + ÝZ ... with only OR and complement operations. 4. Propose and solve your own logic simplification problem using logic theorems 5. Simplify...
Boolean Logic 1. Draw the truth table for the following functions: OF(A,B) = AB + (A + B) • F(A, B, C) = AB + BC+CA • F(A, B, C, D = ABC + ABD + BCD
can help me to answer question b and c
,11, 12, 3.13 Simplify the following expressions to (1) sum-of-products and (2) products-of-sums: (a) A'C' +B'C' +BC' + AB (b) ACD' + C'D + AB' + ABCD (c) ale (A' + B+ D')(A' + B' +C')( A' B' +C)(B' +C+ D') (d) BCD'+ABC' +ACD
5. Simplify the following functions using Boolean algebra Y=BC+ABC + BC Y-AB + ABC + (AT Y =ABCD + ABC + ABCD + ABD + ABCD + BCD + Y = (C+ AB)-(A+B +D) + D (C + D)
c) Program the PAL shown in figure to implement the following logic functions Fl-A+BC+BD F2-A'B'C'D+BCD+AD F1 F2
4. Consider these two functions: f- (a' ab) +(a (bd)y -Exclusive-Or) (a) Write the Karnaugh Maps and using them simplify the two functions (b) Algebraically manipulate function f, so that you obtain the same result. (Don't do it for function h.)
4. Consider these two functions: f- (a' ab) +(a (bd)y -Exclusive-Or) (a) Write the Karnaugh Maps and using them simplify the two functions (b) Algebraically manipulate function f, so that you obtain the same result. (Don't do it for...
Use Boolean Algebra to simplify the following Boolean expressions to three (3) literals. Please write down the intermediate steps. 1). F11(x,y,z) = x'yz+xyz +x'y'Z+xy'Z+ xy'z 2). F12(x,y,z) = (y'+xyz')' Question 2 [2 points) Obtain the function expression of F2 from the logic diagram. Question 3 [3 points) Obtain the truth table of the following function and rewrite the function in Canonical POS (Product of Maxterms) format: F3(a,b,c) = (a'+c)(a+b+c') +a'bc' Question 4 (2 points) Convert the following function to Canonical...
Please solve it
clearly
2. For each of the following digital circuits, write the logic expression that describes the output in terms of the inputs. There is no need to simplify the logic expressions. (8 points) c D D D A B E Solution A(C+ D) + BE F W X D Solution: Q=(W+X)(Y o Z)
Problem 4. Given the following circuit, determine the SOP logic expressions for the functions Fand G in terms of the variables w, x, y and z without substituting all possible combinations for the input variables. The SOP expression does not have to be the simplest one. - F(w.x,yz) u 2-to-MUX 2-to-4 Dec - G(w.x,y,z)