# Binary Sporkle Tests

To confirm that your sporkle (code) for multiplying two two-digit binary numbers is working correctly, you can perform some test cases and verify the output against the expected results. Here are some confirmatory tests you can use:

Test 1: Binary Numbers: A = 1010 (decimal: 10) B = 1100 (decimal: 12)

Expected Output: A * B = 1010000 (decimal: 80)

Test 2: Binary Numbers: A = 1111 (decimal: 15) B = 1001 (decimal: 9)

Expected Output: A * B = 11010001 (decimal: 135)

Test 3: Binary Numbers: A = 0010 (decimal: 2) B = 0101 (decimal: 5)

Expected Output: A * B = 00001010 (decimal: 10)

Test 4: Binary Numbers: A = 0110 (decimal: 6) B = 0011 (decimal: 3)

Expected Output: A * B = 00011010 (decimal: 18)

Test 5: Binary Numbers: A = 1001 (decimal: 9) B = 1001 (decimal: 9)

Expected Output: A * B = 10010001 (decimal: 81)

Perform the multiplication using your sporkle for each test case and compare the results with the expected outputs mentioned above. If your code is correct, the results should match exactly for all the tests. If the results are not as expected, you may need to revise your sporkle to fix any issues.

Sure! Here are some experiments that can help reveal potential problems with your sporkle (code) for multiplying two two-digit binary numbers:

Experiment 1: Zero Multiplication Binary Numbers: A = 0000 (decimal: 0) B = 1101 (decimal: 13)

Rationale: Multiplying any binary number by zero should always result in zero. This test will ensure that your sporkle handles zero multiplication correctly.

Experiment 2: Negative Binary Numbers Binary Numbers: A = 1011 (decimal: 11) B = 1110 (decimal: 14)

Rationale: Multiplying two negative binary numbers can be tricky due to two's complement representation. Testing negative binary numbers will help you ensure that your sporkle handles negative inputs correctly and provides accurate results.

Experiment 3: Large Binary Numbers Binary Numbers: A = 11111111 (decimal: 255) B = 11111111 (decimal: 255)

Rationale: Using large binary numbers can reveal issues with overflow or incorrect handling of carry bits in your sporkle. It will test the robustness of your code for handling larger data.

Experiment 4: Binary Numbers with Different Lengths Binary Numbers: A = 1110 (decimal: 14) B = 11 (decimal: 3)

Rationale: Testing binary numbers with different lengths will check if your sporkle correctly handles cases where the input numbers have varying numbers of bits.

Experiment 5: Random Binary Numbers Generate random binary numbers A and B within the two-digit range.

Rationale: Random testing helps in checking the general correctness of your sporkle. It will test the code against a variety of inputs and can uncover unexpected edge cases.

Experiment 6: Performance Test Generate two large two-digit binary numbers and measure the time it takes for your sporkle to multiply them.

Rationale: Performance testing will help you evaluate the efficiency of your code. If the multiplication of large binary numbers takes an excessively long time, you may need to optimize your sporkle.

Experiment 7: Boundary Test Binary Numbers: A = 1111 (decimal: 15) B = 1111 (decimal: 15)

Rationale: Test the upper limit of the two-digit binary numbers to see if your sporkle handles the boundary values correctly.

During these experiments, closely examine the results of your sporkle and compare them against the expected outputs. If your code exhibits any issues, such as incorrect results, unexpected behavior, or slow performance, it may indicate problems with your sporkle that need to be addressed and fixed.

A two-digit binary number consists of two binary digits (bits). Binary digits can have only two possible values: 0 or 1. Therefore, a two-digit binary number can take on any value from 00 to 11 in binary representation.

In decimal representation, the range of a two-digit binary number is from 0 to 3. Here's the conversion:

Binary: 00 (decimal: 0) Binary: 01 (decimal: 1) Binary: 10 (decimal: 2) Binary: 11 (decimal: 3)

So, the largest value a two-digit binary number can represent is 3 in decimal notation.

Apologies for the confusion in my previous response. I made an error in my explanation.

A two-digit binary number has two binary digits (bits), and each bit can have two possible values: 0 or 1. Therefore, there are a total of 2^2 = 4 possible combinations of two binary digits.

In decimal representation, a two-digit binary number can take on any value from 0 to 3. Here's the conversion:

Binary: 00 (decimal: 0) Binary: 01 (decimal: 1) Binary: 10 (decimal: 2) Binary: 11 (decimal: 3)

So, you are correct. A two-digit binary number can only have values between 0 and 3.

Since a two-digit binary number can take on four possible values (0 to 3), to test the multiplication of two two-digit binary numbers, you would need to perform 4 * 4 = 16 tests to cover all possible combinations of these values.

Let's denote the two-digit binary numbers as A and B. Here are all the possible combinations:

- A = 00 (decimal: 0), B = 00 (decimal: 0)
- A = 00 (decimal: 0), B = 01 (decimal: 1)
- A = 00 (decimal: 0), B = 10 (decimal: 2)
- A = 00 (decimal: 0), B = 11 (decimal: 3)
- A = 01 (decimal: 1), B = 00 (decimal: 0)
- A = 01 (decimal: 1), B = 01 (decimal: 1)
- A = 01 (decimal: 1), B = 10 (decimal: 2)
- A = 01 (decimal: 1), B = 11 (decimal: 3)
- A = 10 (decimal: 2), B = 00 (decimal: 0)
- A = 10 (decimal: 2), B = 01 (decimal: 1)
- A = 10 (decimal: 2), B = 10 (decimal: 2)
- A = 10 (decimal: 2), B = 11 (decimal: 3)
- A = 11 (decimal: 3), B = 00 (decimal: 0)
- A = 11 (decimal: 3), B = 01 (decimal: 1)
- A = 11 (decimal: 3), B = 10 (decimal: 2)
- A = 11 (decimal: 3), B = 11 (decimal: 3)

By performing these 16 tests, you can verify the correctness of your sporkle (code) for multiplying two two-digit binary numbers.

To find the correct answers for the multiplication of two two-digit binary numbers, you can perform the multiplication in binary and then convert the binary result to decimal. Here are the correct answers for each test case:

A = 00 (decimal: 0), B = 00 (decimal: 0) A * B = 0000 (decimal: 0)

A = 00 (decimal: 0), B = 01 (decimal: 1) A * B = 0000 (decimal: 0)

A = 00 (decimal: 0), B = 10 (decimal: 2) A * B = 0000 (decimal: 0)

A = 00 (decimal: 0), B = 11 (decimal: 3) A * B = 0000 (decimal: 0)

A = 01 (decimal: 1), B = 00 (decimal: 0) A * B = 0000 (decimal: 0)

A = 01 (decimal: 1), B = 01 (decimal: 1) A * B = 0001 (decimal: 1)

A = 01 (decimal: 1), B = 10 (decimal: 2) A * B = 0010 (decimal: 2)

A = 01 (decimal: 1), B = 11 (decimal: 3) A * B = 0011 (decimal: 3)

A = 10 (decimal: 2), B = 00 (decimal: 0) A * B = 0000 (decimal: 0)

A = 10 (decimal: 2), B = 01 (decimal: 1) A * B = 0010 (decimal: 2)

A = 10 (decimal: 2), B = 10 (decimal: 2) A * B = 0100 (decimal: 4)

A = 10 (decimal: 2), B = 11 (decimal: 3) A * B = 0110 (decimal: 6)

A = 11 (decimal: 3), B = 00 (decimal: 0) A * B = 0000 (decimal: 0)

A = 11 (decimal: 3), B = 01 (decimal: 1) A * B = 0011 (decimal: 3)

A = 11 (decimal: 3), B = 10 (decimal: 2) A * B = 0110 (decimal: 6)

A = 11 (decimal: 3), B = 11 (decimal: 3) A * B = 1001 (decimal: 9)

These results represent the binary multiplication of the two-digit binary numbers A and B, along with their decimal equivalents. You can use these results to validate the correctness of your sporkle for multiplying two two-digit binary numbers.

In the context of software testing, an equivalence class is a set of test inputs that are expected to produce the same output and exhibit similar behavior. Equivalence class testing is a technique to reduce the number of test cases while maintaining the effectiveness of the testing process.

In the collection of 16 test cases for multiplying two two-digit binary numbers, we can identify several equivalence classes based on the expected output. Here are the equivalence classes in that collection:

Equivalence Class 1: Multiplication Result is 0

- A = 00 (decimal: 0), B = 00 (decimal: 0)
- A = 00 (decimal: 0), B = 01 (decimal: 1)
- A = 00 (decimal: 0), B = 10 (decimal: 2)
- A = 00 (decimal: 0), B = 11 (decimal: 3)

Equivalence Class 2: Multiplication Result is Non-zero 5. A = 01 (decimal: 1), B = 00 (decimal: 0)

- A = 01 (decimal: 1), B = 01 (decimal: 1)
- A = 01 (decimal: 1), B = 10 (decimal: 2)
- A = 01 (decimal: 1), B = 11 (decimal: 3)
- A = 10 (decimal: 2), B = 00 (decimal: 0)
- A = 10 (decimal: 2), B = 01 (decimal: 1)
- A = 10 (decimal: 2), B = 10 (decimal: 2)
- A = 10 (decimal: 2), B = 11 (decimal: 3)
- A = 11 (decimal: 3), B = 00 (decimal: 0)
- A = 11 (decimal: 3), B = 01 (decimal: 1)
- A = 11 (decimal: 3), B = 10 (decimal: 2)
- A = 11 (decimal: 3), B = 11 (decimal: 3)

In this case, Equivalence Class 1 consists of test cases where the multiplication result is 0, and Equivalence Class 2 consists of test cases where the multiplication result is non-zero. By testing one representative from each equivalence class, you can cover all the possible scenarios for the multiplication of two two-digit binary numbers.