Write the Boolean equations and draw the logic diagram of the circuit whose outputs are defined by the following truth table: А B C F1 F2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
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- Convert the following logic gate circuit into a Boolean expression. Write Boolean subexpression next to each gate. t1 t2 | t4 F t3Convert the following logic gate circuit into a Boolean expression, writing Boolean sub-expressions next to each gate output in the diagram: C DDDesign 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
- 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 &This question is from the subject Digital Logic Design. Q2. Two Boolean functions are represented in the following truth table.a) Represent the function F1 and F2 in Some of Min-terms (SOM).b) Simplify both functions as Some of Products (SOP).Say we have an LED that will turn on when driven with a low signal from the output of a single logic gate. The two inputs to the logic gate are a 3 Hz digital pulse generator and a switch that goes low when the gas in a car gets below a certain level. We'd like the LED to flash on and off at 3 Hz when the gas gets low in the car. What type of single 2-input logic gate should be used in this situation? Draw the logic diagram.
- The waveforms in Figure 08 are applied to the 4-bit parity logic. Determine the output wave-form in proper relation to the inputs. For how many bit times does even parity occur, and how is it indicated? The timing diagram includes eight bit times. Q.21 Bit time Ao A1 A2 A3 FIGURE 08) Draw the circuit diagram of a full adder by using two blocks of half-adders and one basic logic gate. Write down the Boolean expressions for both the outputs of a full adder.A combinational logic circuit that compares between two 2-bit numbers A (A1 A0) and B(B1 B0) is designed. Output F is high when ? > ? and low when ? < ?. 1) Are there any undefined outputs? If there are any undefined outputs what are the inputs?
- Examine the circuit given below. Write the expression for outputs Q1, Q2, and Q. Clearly indicate which logic gate Q output is using Boolean Algebra and write the name of this logic gate.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?parity 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.