2. Realize the following sets of functions using only a single 74154 module output logic gates (choose NAND or AND gates to minimize the fan-in of the output gates): fi(a, b, c, d) = > m(2,4,10,12,13,14) f:(a, b, c, d) =M(0 to 2,4 to 8, 12,14,15) f3(a, b, c, d) = āc + bcd
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- 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 theseparity 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.The 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.
- Construct 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.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.)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.
- 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…timing diagram for output versus inputs. Use minimal multilevel logic design and 2-input, 3-input NOR gates and inverter gates only to design the following: F(A, B, C, D) = ΠM((2, 4, 5, 6, 8, 10, 12, 13) · ΠD(0, 11) . I need help with the timing diagram4. For the NOR gate function shown below a) Write the switching expression for the output, F(A,B,C,D) b) Simplify this switching function so that the only gates involved are AND, OR, and NOT gates. c) Draw the logic diagram of this simplified expression using only AND, OR, and NOT gates. am 1, S..pdf DII PrtScn F8 Home F9 End F10 F3 F4 F5 F6 F7 &
- Consider the sequential circuit shown, consisting of a 4 bit binary up counter, logic gates, and output F. Assume counting starts from 0. Q3 is MSB and Q0 is LSB. (a) Draw a Moore state diagram for the sequential circuit, indicating value of output F for each state. (b) How many invalid states does the circuit have? 0 0 0- 0 4 Bit Up Counter Load D3 D2 D1 DO Count 1 Q3 Q2 Q1 QO CLK CLK F5. Simplify the following function using K-Map and draw logic diagram for that. E(A, B,CD)=Em(0,1,2,3,4,5,7,8,10,11,12,13,14,15)Design 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 th