Given is a final state PDA (final state F. start state S) with transition rules: Rule 1: (S,a,X,nop,S) Rule 2 (S,b,X,nop,S) Rule 3: (S,b,X,nop,F) Which of the following strings are accepted by the PDA ? aaa bab aba baa

Answers

Answer 1

The strings that are accepted by the given PDA are:aaa and baaExplanation:Given is a final state PDA (final state F. start state S) with transition rules:Rule 1: (S,a,X,nop,S)Rule 2 (S,b,X,nop,S)Rule 3: (S,b,X,nop,F)To verify if a string is accepted or not by the PDA, we follow the following steps.

Push the initial symbol onto the stack.Process the input string symbol by symbol according to the transition rules and modify the stack accordingly.If the input string is fully processed and the PDA reaches the final state with an empty stack, then the string is accepted by the PDA.a. aaaWe start with the stack empty and symbol X as the initial symbol. On reading the first symbol a, we replace X with a and push a onto the stack.

The stack now contains a.On reading the second symbol a, we replace a with a and push a onto the stack. The stack now contains aa.On reading the third symbol a, we replace a with a and push a onto the stack. The stack now contains aaa.On reading all symbols, we reach the final state F with an empty stack. Hence, the string aaa is accepted by the PDA.b. babWe start with the stack empty and symbol X as the initial symbol. On reading the first symbol b, we replace X with a and push a onto the stack. The stack now contains a.On reading the second symbol a, we replace a with X and pop a from the stack. The stack now contains the initial symbol X.On reading the third symbol b, we replace X with a and push a onto the stack. The stack now contains a.On reading all symbols, we are in the start state S with a non-empty stack. Hence, the string bab is not accepted by the PDA.c. abaWe start with the stack empty and symbol X as the initial symbol. On reading the first symbol a, we replace X with a and push a onto the stack. The stack now contains a.On reading the second symbol b, we replace a with X and pop a from the stack. The stack now contains the initial symbol X.On reading the third symbol a, we replace X with a and push a onto the stack. The stack now contains a.On reading all symbols, we are in the start state S with a non-empty stack. Hence, the string aba is not accepted by the PDA.d. baaWe start with the stack empty and symbol X as the initial symbol. On reading the first symbol b, we replace X with a and push a onto the stack. The stack now contains a.On reading the second symbol a, we replace a with X and pop a from the stack. The stack now contains the initial symbol X.On reading the third symbol a, we replace X with a and push a onto the stack. The stack now contains a.On reading all symbols, we reach the final state F with an empty stack. Hence, the string baa is accepted by the PDA.Therefore, the strings that are accepted by the given PDA are aaa and baa.

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Related Questions

Think about your last online buying experience. How would you
have made the purchase without technology? Make a list of all the
tasks you would have had to do without technology. Estimate how
much tim

Answers

To make a purchase without technology, here is a list of tasks which have to be done :

1. Visit physical stores: I would have needed to visit multiple stores to find the desired product, which would have involved traveling, searching for the item, and comparing prices.

2. Manual product research: Without online resources, I would have relied on catalogs, brochures, or word-of-mouth recommendations to gather information about the product.

3. Limited options: Physical stores may have limited stock and variety compared to the vast selection available online, so finding the exact product I wanted would have been challenging.

4. Price comparison: Comparing prices would have required visiting different stores and manually noting down prices, which would have been time-consuming and less accurate.

5. Purchase process: I would have needed to physically go to the store, interact with sales representatives, and potentially wait in queues for making the purchase.

By online buying, I saved significant time. I could browse multiple stores, compare prices, and make a purchase within minutes. Additionally, online shopping provides benefits such as convenience, access to a wide range of products, customer reviews and ratings, personalized recommendations, easy payment options, and doorstep delivery.

However, there are some disadvantages to online shopping. These include the inability to physically examine products before purchase, potential delays or errors in delivery, the risk of fraud or data breaches, and the lack of personal interaction with sales representatives.

The growth of e-commerce is likely to continue as technology advances and more people embrace online shopping. Maintaining a balance between online and offline shopping experiences may be essential to cater to diverse customer preferences and needs.

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The correct question should be :

Think about your last online buying experience. How would you have made the purchase without technology? Make a list of all the tasks you would have had to do without technology. Estimate how much time you saved by going online. Besides saving time, what other benefits did you achieve via technology-assisted shopping? What are some of the disadvantages of online shopping? What do your answers imply for the growth of e-commerce?

explain why data should always be entered directly into the field book at the time measurements are made, rather than on scrap paper for neat transfer to the field book later.

Answers

Data should always be entered directly into the field book at the time measurements are made, rather than on scrap paper for neat transfer to the field book later. There are several reasons why data should be entered directly into the field book at the time measurements are made.

First, it ensures accuracy in the data. When data is entered into the field book at the time measurements are made, it reduces the chances of errors or mistakes that may occur when transferring data from scrap paper to the field book. This is because there is a higher likelihood of forgetting some measurements or writing them incorrectly when they are transferred later. Second, it saves time. Entering data directly into the field book eliminates the need for double entry, which is a time-consuming process. Double entry is when measurements are recorded on scrap paper and then later transferred to the field book, which takes up time that could be used for other tasks. Direct entry also means that the field book is up to date and can be used as a reference whenever it is needed.

Third, it reduces the risk of losing data. Scrap paper can be easily misplaced or lost, especially when working outdoors. This can be a significant problem if the data is important and needs to be used later for analysis or reporting. However, if the data is entered directly into the field book, it is more likely to be safe and easily accessible. In summary, entering data directly into the field book at the time measurements are made is essential for ensuring accuracy, saving time, and reducing the risk of losing data. It is a best practice that should be followed by anyone who needs to record measurements or data in the field.

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to which cache block will the memory address 0x000063fa map? write the answer as a decimal (base 10) number.

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The main answer is cache block 403 (decimal) will map to the memory address 0x000063fa. Explanation: To determine which cache block a memory address maps to, we need to use the following formula:

Cache block = (memory address/block size) mod number of blocks Assuming a block size of 64 bytes and a cache size of 512KB (8,192 blocks), we can plug in the values and solve: Cache block = (0x000063fa / 64) mod 8192
Cache block = (25594 / 64) mod 8192
Cache block = 399 mod 8192
Cache block = 403 Therefore, the memory address 0x000063fa maps to cache block 403.

To determine which cache block the memory address 0x000063fa will map, follow these steps: Convert the hexadecimal address to binary: 0x000063fa = 0000 0000 0000 0000 0110 0011 1111 1010 Identify the block offset, index, and tag bits based on the cache configuration (assuming a direct-mapped cache).. Extract the index bits from the binary address to find the cache block number.. Convert the binary cache block number to decimal. Unfortunately, I cannot provide the main answer and explanation without knowing the cache configuration. Please provide the cache size, block size, and associativity so I can help you further.

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