A binary counter has one input X and counts as follows. If X = 0, it counts 2, 3, 1 and repeats; if X = 1, it counts 1, 0, 3 and repeats. You can assume that the following cases do not occur: counter value is 0 with X = 0, and counter value is 2 with X = 1.

(a) Draw the state diagram of the binary counter above. Use the binary counting values as the state names. You do not need to represent the state transitions for the cases that do not occur.

(b) Use two D-type flip-flops and logic gates to design the binary counter. In your answers, include the state table, the flip-flop input equations and the final logic circuit diagram.

Thermodynamics: State the three Laws of Thermodynamics and explain their meanings.

a)state and explain four advantages of Audio visual technology

1. State the dimension theorem. Explain how it proved.

Jen took a piece of fresh ginger root about 2 inches long and peeled the brown root off and finely grated it. She Placed the grated ginger root into a small bowl and added the juice of one fresh lemon (about two tablespoons of juice). Then she stirred it well to mix the ginger and the lemon juice. Using the funnel, she poured one cup of sugar into a clean, two-liter bottle and added one-quarter teaspoon of yeast to the bottle. She shook the bottle to mix the sugar and yeast. Then she carefully added the ginger root mixture to the two-liter bottle. She filled the bottle with lukewarm water and Left three inches (7.5 cm) of air space at the top of the bottle. Finally, she tightened the cap on the bottle and shook it. Jen then placed the bottle n the counter in a warm spot. When she could no longer dent the sides of the bottle by squeezing, she put the bottle in the refrigerator. And refrigerated it for 12 hours. When the bottle was thoroughly chilled, she slowly unscrewed the cap to release the pressure. Jen poured the ginger ale through a kitchen strainer of coffee filter to remove the grated ginger pieces. And It was ready to drink.

1. What gas was released when she opened the bottle of ginger ale? ______________. What process produced the gas?________
2. Based on the results of Jen’s experiment, was the yeast she added to the bottle alive? Explain your answer.
3. If she released the gas from the ginger ale bottle in a room full of plants, could the plants make use of the gas? Explain your answer.
4. What happened to the rate of CO2 production when the bottle was refrigerated? Explain your answer.
5. In reference to your answer to question “D” how does refrigeration help prevent food from spoiling?

A microscope has an objective lens with a focal length of 16.22 mm and an eyepiece with a focal length of 9.28 mm. With the length of the barrel set at 31.0 cm, the diameter of a red blood cell's image subtends an angle of 1.43 mrad with the eye. If the final image distance is 31.0 cm from the eyepiece, what is the actual diameter of the red blood cell?

Ten lollipops are to be distributed to four children. All lollipops of the same color are
considered identical. How many distributions are possible if: (a) all lollipops are red; (b) all
lollipops have different colors; (c) there are four red and six blue lollipops? (d) What are
the answers if each child must receive at least one lollipop?