2. Boolean expression Use only NAND gates to design a logic circuit to simulate the Boolean expression, 1) Y = A. (B + C) 2) Y = A + Bč 3) Y = AB + CD + Ē i.
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- Kindly construct the circuit given below in logic.ly/demo/ and post screenshot of the circuit: SW1 SWo A (SW1) 0 0 1 1 LD Please complete the Truth Table for Circuit as below: Inputs B (SWO) 0 1 3 HALF ADDER CIRCUIT SCREENSHOT 0 1 Sum (LO) SUM In Table, what is the relation between inputs and carry outputs? Ans: In Table, what is the relation between inputs and sum outputs? Ans: Lo Cout Li Outputs Cout (L1)T: Answer thne f. questions: 1) The hexadecimal number ´Al' has the decimal value equivalent to (A) 80 (B) 161 (C) 100 (D) 101 2) The output of a logic gate is 0 when all its inputs are logic 1. The logic is either (A) a NAND or an EX-OR (B) an OR or an EX-NOR (C) an AND or an EX-OR (D) an NOR or an EX-NOR 3) The Gray code of the Binary number 1100111 is (A) 1011011 (B) 1010100 (C) 1001001 (D) 101101 4) When simplified with Boollean Algebra (a+b)(a+c) simplifies to (A) a (B) a+a(b+c) (C) a(1+bc) (D) a+bc 5) -31 is represented as a sign Binary number ( using Sign-magnitude form ) equal to (A) 00011111 (B) 10101001 (C) 01110010 (D) 00101101 6) The Binary number 110111 is equivalent to decimal number (A) 25 (B) 55 (C) 26 (D) 34 7) With 4 bit, what the range of decimal values if the number is 2's complement signed number. (A) -32 to +31 (B) -2 to +1 (C) -8 to +7 (D) None of theseDraw 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 = F
- a) For the given logic circuit diagram write the program by using the gate level modeling. b) For the given truth table write the program by using the data flow Modelling. c) Write the test bench of the given logic circuit with all possibilities Y1 Y2 Y3 Y4 Y5 Y6 Y7 A2 A1 A0Assuming we are given a Logic Gate network, the output of the circuit is given by the following equation Q=A.B+A.C+ A.B.C By using the Boolean Logic rules for simplification, select which of the following equations is the correct simplified one. Note that, the answer None of the above may sometimes be the correct response. Q=A+(B.C) O Q=A.(B.C) O Q=Ā. (B+C) ⒸQ=A. (B+C) None of the above O Not answered(c) Figure Q5(c) shows a logic circuit which has three inputs A, B, C and two outputs F and G. i) Obtain the logic expression for the outputs G and F. ii) Redesign the circuit using only 3-to-8 decoder (with active high outputs) and OR gates. G A B F Figure Q5(c)
- i. Use only NOR gates to design a logic circuit to simulate the Boolean expression, 4) Y = AB. (C + D). E 5) Y = (A + B). Č. (D + E) 6) Y = A. (B + C). DEThe input to a combinational logic circuit is 4-bit binary number (A, B, C, D). Design the circuit strictly using NAND gate with two outputs (Y1 and Y2) for the following conditions: Output Y1 is low when the input binary number is less than or equal to 7. Output Y2 is high when the input binary number is less than or equal to 7.DISCUSSION: 1- Design the logic eircuit for the following conditions and draw the output wave form, X is a 0 if any two of the three variables A, B, and C are 1, X is al for all other conditions. 2- Implement the following function with only AND and NOT gates, F-AB+AB+BC W-XY (XZ+XY Z+ Y Z) + XZ 3- Use NAND gate, NOR gate, or combinations of both to implement the following expression:- a) X-A [B + C (D +E)] b) X B (CDE+EF G) (A B+ C) 4-a) What is the applications of AND gate and OR gate? b) In OR gate why 1 +1 1? c) The Fig. (1-12 ) shows the A & B inputs and the output is C, For the OR gate using the A and B inputs of Fig. (1-12) draw the C output for each of the following: The AND gate. • The NAND gate. • The NOR gate. .The EX-OR gate. • The EX-NOR gate. 1-12
- 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 YFor the logic gate network shown below, select which of the following expressions is the right one. Note that, the answer None of the above may sometimes be the correct response. A B D O C=A.B O C=(A.B) C = A.B C = A.B None of the above Not answered O Doc CDraw a logic gate circuit for the following functions: F = AB’ + C’(A + B) F = (X’Y+Z) + (X +YZ’)