Simplify the function given as F (A, B, C, D) = Σ (2,3,6,8,11,13,15) ???? + Σ (0,4,7,9,10) using the Karnaugh Map method. Draw the logic circuit of the output function using AND NOT (NAND) gates.
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Simplify the function given as F (A, B, C, D) = Σ (2,3,6,8,11,13,15) ???? + Σ (0,4,7,9,10) using the Karnaugh Map method. Draw the logic circuit of the output function using AND NOT (NAND) gates.
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- B. Given f(a, b,c,d, e) = Em(0,1,6,10,12,14,16,17,26,30). Find the minimum cost logic circuit that implements the function f(a,b,c,d, e) using a 5-variable Karnaugh map simplification. a. Draw the logic circuit after simplification. b. Calculate the implementation cost.a) Design a single-digit decade counter that counts from 0 to 9 and repeats. The single-digit decade counter should be built by a cascaded synchronous binary counter (74LS163) and other basic logic gates. Simulate the complete counter circuit by OrCAD and PSPICE. Capture the circuit schematic and the simulated waveform. (Define the simulation timings for at least one full counting cycle from 0 to 9 and back to 0.) (Hint: Use the DigClock input from the SOURCE as shown below and setup the CLK ONTIME and OFFTIME accordingly for the clock source.) 1/6 Pat DigClock Part List OFFTIME = SuS DSTM1 ONTIME = DELAY= STARTVAL = 0 OPPVAL = 1 Sus EUK FleStim AC Lbrajes Design Cache b) Read the specification of 74LS47 (BCD-to-7-Segment Decoder shown in Appendix) to see how the logic IC operates to drive a 7-segment LED display. Draw the circuit connection of the decade counter in (a) and the decoder to display the count value on the 7-segment LED display. Further explain why common anode…a) Design a single-digit decade counter that counts from 0 to 9 and repeats. The single-digit decade counter should be built by a cascaded synchronous binary counter (74LS163) and other basic logic gates. Simulate thecomplete counter circuit by OrCAD and PSPICE. Capture the circuit schematic and the simulated waveform.(Define the simulation timings for at least one full counting cycle from 0 to 9 and back to 0.)(Hint: Use the DigClock input from the SOURCE as shown below and setup the CLK ONTIME and OFFTIME accordingly for the clock source.)
- Electrical Engineering A Explain Digital IC specification using a neat diagram. B Design a circuit using AOI logic which outputs a 1 when a 4-bit BCD code translated to a number that uses the lower right segment of a 7-segement display. 0828956389 C Design a synchronous counter using D flip flops that counts 2, 3, 5, 7, 10, 12, 14 The unused states of the counter change to 6 at the next clock pulse. An asynchronous sequential eirenit ie dasasiQ#01: The schematic shown in figure below is for Divide_by_11, a frequency divider, that divides clk by 11 and asserts its output for one cycle. The unit consists of a chain toggle-type flip-flops with additional logic to form an output pulse every 11th pulse of clk. The asynchronous signal rst is active-low and drives Q to 1. Develop and verify a model of Divide_by_11. Vcc 20LSB Q2 03MSB clk clk clk clk clk rst rst rst rst wl w2 clk QB cik_by_11 rst rstConstruct a circuit diagram that checks whether the two numbers A and B are in the ratio of 2:3. Also, derive the final Boolean equation for the function. F = 1 if A: B = 2: 3,0 otherwise Here, A and B both are 3 bit binary numbers. NB: You cannot use the IC of comparator, meaning for the comparison part, you need to draw the gate level diagram. You can use block level diagrams for the rest of the parts.
- An equation in reduced SOP form, is F=AB+B'C+A'C'. I need to draw a logic circuit F using NOT/AND/OR and logoc circuit F using all NAND gates. Thank you for the help. I understood the previous types of gates but I am confused on how to draw these circuits.5- Implement a logic circuit to verify the following logic function: F= E 1,2,3,4,5,7,8,12,13|| The design work should include the followings: a. Derivation of the minimized Boolean expression in POS from the Karnaugh map. b. Implement a circuit by using NOR gates only.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 these
- 6. Pass-Transistor Logic Consider the following Pass Transistor Logic (PTL) circuit. (a) Determine the Boolean functions X in Sum-of- Product form. Is this a valid implementation? Give a brief explanation (b) Determine Boolean functions Y in Sum-of- Product form. Is this a valid implementation? Give a brief explanation B ADesign a 3-bit counter that counts the following sequence: 7,5, 3. 1.0.7, 5. 3, 1, 0, 7. etc. Using the sequential design technique that starts from a state diagram, draw the state table. minimize the logic. and draw the final circuit. The outputs of logic circuit are 2 = Qo Q1. I, = Qo.Qi + Qo.Qi, Io = Qo.Q2, Cont2 = Qj Q2 Cont1 = Qu Q2. Cont0 = Q2 Qo.Q1. h = Qo.Qi + Qo.Q1, Io = Qo Qz Cont2 = Q, Q2 Contl = Qo Q2 Cont0 = Q2 Qo Qı Ij = Qo.Q, + Q».Qı, Io = Qo. Q2. Cont2 = Qj Q2. Contl = Qo.Q2. Cont) = Q2 L = Qo.Qı. I¡ = Q. Qj + Qu Q Io = Qv.Qz Comt2 = Q, Q, Contl = Q Q2 Cont0 = Q2 !! fefsto How much will be per-product cost and thparity generator design, construct and test a circuit that generates an even parity bit ffrom four messages bits . use XOR gates. adding one more XOR gate, expand the circuit so that it generates an odd parity bit also.