5) Realize the following functions using decoder and logic gates. a. Implement f(w1,w2,w3) = m (0,1,2,3,4,5,7) using 3-8 decoder and OR gate. b. Implement f(w1,w2,w3) = Em (0,4,5,6) using 3-8 decoder and AND gate. c. Implement f(w,x.y,z) = Em (0,4,7,12,14) using 3-8 decoder and logic gate.
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- 4. 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 &(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)Implement the function, W using ONE 4-to-1 multiplexer and other logic gates. b) Implement the function, X using ONE 4-to-1 multiplexer and other logic gates. Implement the function, Y using TWO 4-to-1 multiplexer and other logic gates. d) Implement the function, Z using ONE 8-to-1 multiplexer and other logic gates. Table Q1 ВCD Braille A B D W Y 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A ololO
- An X-input exclusive-OR gate and a Y-input exclusive-OR gate (where X=3, Y=4 have their outputs connected to a 2-input exclusive-NORgate. Do the following:a) Draw the logic diagram and analyze the logic expression of the output (in standard SOPform).b) List out all essential prime implicants.d) Draw the schematics of 4-bit synchronous and asynchronous MOD-8 counters and comment on their pros and cons. e) Calculate the noise margin for a logic gate with the following logic levels: VIL = 1.1 V, VIH = 3.2 V, VOL = 0.6 V, VOH = 4.0 V.We want to design a circuit to detect prime numbers.The input of the circuit is a 4-bit binary number and the output is a single bit and should show one when the number is prime and zero otherwise.B. Implement the circuit using a 4× 1 multiplexer and combinational logic gates.C. Implement the circuit using only one decoder and one OR gate. What is the size of the decoder you use?
- 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 A0(c) Figure Q3(c)(i) shows a register and Figure Q3(c)(ii) shows the input waveforms (CLOCK and Data in) to the circuit. A1 A9 A10 A2 Function generator A3 A11 A12 AS A13 A6 A14 A7 A15 Data in Bop.7) ip.r 82p.7) Logic analyser U1 U2 U3 U4 UO 6. 1. 6 1 6 INVERTER 3 CLK 3 CLK oCLK CLK 5 K K 5 K K 4027 Clock Function generator Figure Q3(c)(i) (i) Determine the type of register as shown in Figure Q3(c)(i).The only function of a not gate is to …..A. stop a signalB. re-complement a signalC. invert an output signalD. act as a universal gate
- 1. Design a logic circuit with four inputs A,B,C,D as shown in figure1 and one output Y and whose output will be high if only the input is evenly divisible by 3. A B LY D Figure1 I. Find the SOP Boolean expression of the output Y. I. Draw logic circuit using basic gate and verify the result by using any simulation tools. II. Draw a logic circuit by using NAND gate only. |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 th3. Logic Design a. Create the truth table of a 3-input AND gate. Realize the 3-input AND operation using only 2-input NOR gates. b. Create the truth table of a 3-input OR gate. Realize the 3-input OR operation using only 2- input NAND gates. c. Using AND and OR logic gates, implement the logic function: F(x, y, z) = xy + yz + zx d. Using NAND logic gates, implement the logic function: F(x, y, z) = xy + yz + zx