Q.No.5 Simplify thefollowing Booleanexpressionfor products-of-sum form and draw its logic diagrams.(A'+B' +C+D)(A+ B' +C+ D)(A+B +C+ D')(A+B + C'+D')(A'+B +C+ D')(A+B+ C'+ D)
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- Simplify the following expression using Karnaugh map and implement. Draw simplified logic diagram as well. Implement on Multisim software. (a) Y=A.B.C'.D+A.B'.C'.D+A'.B'.C'.D+A'.B.C'.D+A'.B'.C'.D'+A'.B.C'.D'+A'.B.C.D'+A'.B.C.D+A'.B'.C.D2. Design an electronic digital circuit that implements the following logic expressions. Hint: Consider a multiplexer approach as your first optimization alternative. F = A-B.C+ B.T D+C D+ A C.D+A.B F = A.B.C+ B.C.D+C D+A C-D+C D A-B.C+A.B -D+T D+A.C-D+C.D A.B.C+B C.D+C.D+ A.C-D+ A.B F = (7.2) Construct K-Maps for all expressions Construct the optimized circuit that best meets specifications 7.2.A three input logic functipn will provide a logic high output only when twp (and two only) of the inputs are logic highs. For all other input possibilities, a logic zero is provided on the output. What is the logic expression? A. Y=A'B'C+A'BC'+AB'C' B. Y=AB'C+A'BC+ABC' C. Y=AB'C+ABC+A'B'C' D. Y=ABC'+AB'C+A'B'C'
- Draw the logic circuits for the following Boolean expressions and simplify the logic expressions using theorems of Boolean algebra. (Ā+B)(A+ Ē + D)DConsider the multiplexer based logic circuit shown in the figure MUX MUX 1 Select one: a. W S1' S2' O b. W + S2 + S1 c. WS1 + WS2 + S1 S2 O d. WeS1es2A circuit has four inputs (A, B, C, D) and two outputs (X, Y). The output X is logically high if the decimal equivalent in input binary combination is odd number. The output Y is logically high if the decimal equivalent in input binary combination is divisible by 3. Find the minimum expression for the two outputs and draw the logic diagram?
- Question 4: For the number display below, we would like to identify Boolean expression for LEDS (outputs a through g2) that indicate numbers 11, 14, and 15. a. Please write the Boolean expressions for the two LEDS (outputs a through g2) based on the input signals So to S3. You do not need to simplify the Boolean expressions. b. Please draw the logit circuit for outputs a through g2 a2 Logic circuit 2. 88 5,5,5,50(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 OBSimplify the following Boolean expression to a minimum number of literals and draw the logic diagrams of the circuits that implement the original and the simplified expressions: ( xyz + bx’ + xyz’ ) ( xd + x’d )
- Consider the multiplexer based logic circuit shown in the figure. W Do 0 MUX AF = W S₁ S₂ S₁ B F = WS₁ + WS2 + S1S2 Which one of the following Boolean functions is realized by the circuit? C F=W + S₁ + S₂ 0 DF=W S1 S₂ MUX S₂ F(a) A logic circuit shown in Figure Q.3 has a 4-bit input A and B, three 4-bit wide 2:1 muxes, a 4-bit adder, a 4-bit output F, and a carry flag C. For the given Table Q.3, fill in the value of output F and carry flag C for the given value of A, B, S0, S1 and S2. 51 52 1001 Flag C 0011 Figure Q.3 Table Q.3 A So S1 S2 F Flag C 0001 1000 0010 1001 1 1 0011 1101 0100 1101 1110 0111 1Course: Digital logic design DLD Please solve it on emergency basis: Express the following function as a given notation term form of minterm SOM . Also simplify the expression using boolean algebra and draw yhe logic diagram of simplified expression F(A,B,C)= A'B'C'+A'BC+AB'C'+A'B'C'+ AB'C+ABC