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- Simplify the following Boolean functions using K-Map and Design the Logic diagram. a) F (A,B,C) = Em(0,1,2,4,7) b) F (A,B,C,D) = m(1,3,9,11,12,13,14,15) c) F (A,B,C,D) = Em(3,7,11,13,14,15) %3D %3D3-) Analyze the circuits below and write the Boolean equation for each Part. Simplify the equation using Boolean algebra and determine if they function as an XOR, XNOR or neither. A): Dor B): XD XD . DUsing Boolean theorems, simplify the output expression for the circuit in the figure. Show all the steps used to simplify the expression.
- Simplify the expression f (A,B,C,D) = Sm (0,1,4,8,9,12,14,15) using K– map and realize the final expression using basic logic.A 4-bit magnitude comparator is explained in the attached file. With similarlogic, design a 3 bit magnitude comparator. You must show the equations and draw the logic circuit. [Hints: A and B are two numbers each with 3 bits. How can you implement a circuit to compare these two numbers if, A=B, A>B or A<B]Computer architecture 1. Perform the following calculations. All numbers are 8-bit Integers; except where noted. Show all work. Note any overflow. Note that 2c signifies 2s complement and sm signifies signed-magnitude. I suggest you check your answers in base 10. 11110110 - 100101112c= 11110110 & 00001111= Convert -1610sm to Base 16 Convert AD16c to Base 10 F9 + E916c=
- 5. Simplify the following function using K-Map and draw logic diagram for that. F(A, B,C,D)=∑m(0,1,2,3,4,5,7,8,10,11,12,13,14,15)Implement the following Boolean function by using 4x1 multiplexer. F(A, B,C, D) = Em(1,3,5,6,8,11,14)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
- Simplify the following Boolean function F, together with the don't care d. Using K-map and Draw the logic diagram. a) F (A,B,C,D) = Em(0,6,8,13,14) & d (2,4,10) %3D b)F (A,B,C,D) = Em(1,3,8,10,15) & d (0,2,9) %3D2. 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.Simplify the following Boolean function F. together with the don't care conditions d. and then express the simplified function in sum-of-minterms form: a. F (A, B, C, D) =Em (0, 6, 7, 13, 14) + d (2.4.10,11) b. F(A, B, C, D)= IIM(5, 6, 8, 12, 13, 15). And (0,2,7,11)