Create a Truth Table of the functions below and express each function into SOP and POS, as well as the logic circuit: a) F2 = (AC'+CD') .B(C'+AD) b) F3 = (AB+C') (A+CD') Solve subparts a,b thank u
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Create a Truth Table of the functions below and express each function into SOP and POS, as well as the logic circuit:
a) F2 = (AC'+CD') .B(C'+AD)
b) F3 = (AB+C') (A+CD')
Solve subparts a,b thank u
Step by step
Solved in 4 steps with 2 images
- 2.1 Combinational logic circuits. Tabulates a truth table for the following Boolean expression shown in Equation 1.1. f = A.B.C + A.B.C + A.B.C (1.1) 2.2 Half adder. A half adder is a circuit that adds two binary digits, A and B. It has two outputs, sum (S) and carry (C). The carry signal represents an overflow into the next digit of a multi-digit addition. Figure 1.2 depicted a logic diagram for a half adder. a. derives the Boolean expression for s and c. b. tabulates a truth table for the half adder. Ao Bo Figure 1.2: Half adder os S C(B)- Show the Ladder logic program and the equivalent Function Block Diagram for the following Boolean expressions without any simplification: - 1) Y= A.B+C+ (C+ B).D 2) Y= A.B.C+B. D. (A OB)+C 3) Y= A.B (C+ D) +D+ A OBShow the Ladder logic program and the equivalent Function Block Diagram for the following Boolean expressions without any simplification: - 1) Y= A.B+C+(C+B). D 2) Y= A.B.C+B.D. (AOP)+C 3) Y= A.B (C + D) + D+ A B
- 1. a. i. Draw the gates required to build a half adder are ii. When simplified with Boolean Algebra (x + y)(x + z) simplifies to : iii. The output of a logic gate is 1 when all its inputs are at logic 0, the gate is either :Consider F(A,B,C) = AB'C + B'C' + A'BC + A'C' 1. Determine how many logic gate inputs would be needed before any simplification. Do not count inputs to NOT gates 2. Use Boolean algebra rules to get the most simplified expression of F(A,B,C). Then determine how many logic gate inputs would be needed after simplification. Again, do not count inputs to NOT gates. 3. Expand the original expression into its canonical SOP representation. 4. Fill out the K-map below using the SOP canonical representation. Group the 1-cells according to the K-map simplification rules. Translate each group into its product term, OR these product terms together, and verify that the expression you get matches the one in Step 2. 5. Draw two circuits in CircuitVerse, one from the original expression for F(A,B,C), the other from the simplified expression in Step 2 or Step 4. Connect the inputs to both circuits, but separate their outputs. Verify through simulation that these two circuits are indeed equivalent. Take…Q1 / (a) Draw a 4-bit ADD/SUB and show the inputs and outputs of all logic circuit for inputs numbers A3 A2 A0 A₁ =1001 B3B2 B₁ Bo-0101 (b) Implement the following function using (4*1) multiplexer F(A,B,C)=E(1.3.4.5)
- Draw the equivalent logic circuit diagram of the following expressions : a. XY = F b. X + Y = F XÝZ = F c. d. XY + XZ = F e. XYZ + XÝZ = FConsider the given logic equation below. Draw the logic diagram then simplify it using Boolean Algebra. Draw the logic diagram based on the simplified logic equation. X = A'BC' + A'B'C' + AB'C + AB'C' + A'B'C From the given logic diagram, trace the output using all possible input combination. Give it a conclusion upon completion..Combinational Circuits - Design Procedure Design a logic circuit that has three inputs A, B, C and whose output will be HIGH only when a majority of the inputs are HIGH. 3-A. Generate the truth table. 2-B. Obtain the KMAP. 3-C. Provide the Simplified Boolean Function. 3-D. Generate the Logic diagram of the simplified Boolean function.
- Show the Ladder logic program and the equivalent Function Block Diagram for the following Boolean expressions without any simplification: - 1) Y= A. B+ C+(C+B).D 2) Y= A.B.C+B.D. (A OB)+C - 3) Y=A.B (C+D) + D+A OBA three input logic function will provide a logic high output only when all of the inputs are logic highs or when all of the inputs are logic lows. For all other input possibilities, a logic zero is provided on the output. What is the logic expression? A. A'B'C'+AB'C' B. Y=A'B'C'+ABC C. ABC'+AB'C D. A'B'C'+AB'Cwhat a logic function corresponds to the following arrangement? a.L =(S1 OR S2) AND (S3 OR S4)