a. Design a circuit for your 3 bedroom house that will turn on a green light in your bedroom when an intruder enters your house through the window of your front door.
b. Simplify the following functional expressions using Boolean algebra and its identities.
List the identity used at each step.
a. Design a circuit for your 3 bedroom house that will turn on a green light...
Construct a truth table then simplify the following functional expressions: a) F(x,y,z) = xyz + x(yz)' + x'(y+z) + (xyz)' b) F(x,y,z) = y(x'z + xz') + x(yz + yz')
mu Online Bookmark My Apps - Wikipedia eenshot Cor Video - Cross-reference Apps Links Media 3 1 . .2.. 5 Chapter 3 Homework Assignment Pages 205 - 218:5, 10, 16(a), 20, 23, 27, 30(b), 32(0), 34(b), 37(b), 39(a), 46, 50, 54, 60 5. Using De Morgan's Law write an expression for the complement of Fif F(w, x, y, z) =XZ' (x’yz +x) + y (w'z +x") 10. Show that xz = xy +xy' A) Using Truth tables B) Using Boolean...
1) Implement each side with gates, that is a block diagram/schematic a+(b+c) = (a+b)+c a(b+c) = ab + ac 2) Make a truth table for each of the functions below and identify where each term comes from in the truth table a. F=X’Y+Y’Z’+XYZ b. G=XY+(X’+Z)(Y+Z’) c. H=WX+XY’+WX’Z+XYZ’+W’XY’ 3) For the expression F = A’B’C + ABC + ABC’ How many literals are there ___________ How many terms are there ___________ 4) F(a,b,c,d) = m(0,1,4,7,12) Find the canonical sum (which is...
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...
Computer Science: Computer Architecture 3. Do the following problems: Consider a circuit with 4 binary inputs. It counts the number of 1’s on its input and expresses (encodes or represents) the count as binary values on 2 output lines. a. Draw a truth table to represent the functions of the circuit. b. Provide SOP expressions for the output lines. c. Simplify the SOP expressions. d. Implement the circuit using 2-input NAND gates. 4. do the fowolling problems: a. Verify: xyz...
I just need help with the second one 4. Proof and simplification (16 points) a) Show that the following equation is valid using Boolean algebra axioms and theorems. Demonstrate your detailed steps. (8 points) BC+Ā B+AC = ABC+Ā b) Simplify the following logic equation: (8 points) F(X,Y,Z)=Y Z + XY + XZ + YZ
number a and b 70 Score: B. Bader collin Alhusni_ DATE Вт output E LUBODA RAO+O D ot x 1= X X-D=0 1. X+0=X XXX XX'=0 2. x + 1= 1 Idempotent laws: 3. X+X=X Involution law: 4. (X'=X Laws of complementarity: 5. X+X' = 1 Commutative laws: 6. X + Y=Y+X Associative laws: 7. (X+Y) +2=X+ (Y+Z) =X+Y+Z XY YX (XY)Z = X(YZ) = XYZ Distributive laws: 8. XIY + Z) = XY + XZ De Morgan's laws 9....
This was the answer I got, teacher said it was wrong Teacher said, couldnt run the gate because there wasnt any switches 5. Design and test a simplified logic circuit to identify all numbers in the output range of function: F(x) = 2x+3 for an input domain between 0 and 6. Be sure to include your truth table. Normal 1 No Spac... Heading 1 Head Paragraph Styles t Draw Simulate View Window Help 39 ) ) 11:55 1 esu.desire2learn.com Boolean...
Please show step by step, complete solution and explain if possible. Thank you so much. 3. Six-Sided Die Display Circuit In this problem, you will design a logic circuit to display the six faces of a die using 7 LEDs. For example, the value 5 is shown on the display below. Your circuit takes three bits XYZ as input and outputs the patterns shown in the table below, by lighting up the correspondind LEDs. For example, for the value 5,...
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x, y, z) = (xy + xyz + xyz c. F(A,B,C,D) = 20,2,4,5,6,7,8,10,13,15) d. F(A,B,C,D) = A'B'C'D' + AB'C + B'CD' + ABCD' + BC'D e. F(A,B,C,D,E) = (0,1,4,5,16,17,21,25,29) 2. (12 pts) Consider the combinational logic circuit below and answer the following: a. Derive the Boolean expressions for Fi and F2 as functions of A, B, C, and D. b. List the complete truth table...