a) Explain the difference between RAM and ROM? b) Draw the logic diagram for the given Boolean expression 'X' and apply the De-Morgan's theorem for it. X = (A B + A B ).(A+ B )
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- Task 6: Simplifying Boolean functions in EWB using the logic converter Simplify the following Boolean expression in EWB using the logic converter F (A, B, C) = AB'C'+ A'B'C'+ A'BC'+ A'B'CA B Prepare the truth table of the logic circuit (logic circuit) on the right. Then, using the truth table, write the function you have obtained according to the SOP (minterm) without any simplification and draw the logic circuit for the new function you have obtained. Make sure that the circuit you have drawn is understandable, the function you have written and the truth table are readable.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 :
- 4. Figure 2 shows a logic circuit with output F Figure 2. Logic circuit with gate I (AND), gate II (AND), gate III (NOT), gate IV (AND), gate V (EXOR) and gate VI (OR) a. Find the Boolean expression of output F. b. The simplified Boolean expression of Output F. c. If the input A and C were High and Input B was Low, what is output F: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 CConsider 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…
- Draw logic circuits for the Boolean statement below, only using 2-input logic gates. Q=(AC)'+(A'B)' where Q is the output.(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 OB(b)For the logic circuit below what is F=? A
- Which boolean expression related to this combinational logic circuit? A B C D LONDR OY (A + B). (A + C) + B OY (A B) + (A. C). B OY (A B) + (A. C). B OY (A.B) + A.C + B OY (AB) + A. C + B OY= (A + B). (A+C) + B OY (AB) + A.C + B YDraw 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 = F4-6. A sequential circuit with two D flip-flops A and B and input X and output Yis specified by the following input equations: Y = A + B D = X + B D = XA (a) Draw the logic diagram of the circuit. (b) Derive the state table. (c) Derive the state diagram. (d) Is this a Mealy or a Moore machine?