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Mathematics is a crucial subject that every student should master. It plays a vital role in our daily lives, from calculating the cost of our groceries to measuring time and distance. One of the fundamental concepts in mathematics is converting numbers from one base to another, and it can be a challenging task for many students. In this article, we will explore how to convert numbers from one base to another using an example provided in the data.

The data provides us with a URL that shows an image and a title that says, "Menukar nombor daripada satu asas kepada asas yang lain. Matematik." In translation, this title means "Converting numbers from one base to another. Mathematics." It is a clear indication that the content behind this URL is about converting numbers in mathematics.

Converting numbers from one base to another can be a tedious task if done manually. Therefore, there are several methods and algorithms to help students perform this task effortlessly. One of the most common conversion methods is the base conversion algorithm. The base conversion algorithm is a simple and effective algorithm that converts numbers from one base to another.

For instance, let's use the example given in the data, where we want to convert the number '110' from the base 2 to the base 10. The base 2, also known as binary, uses two digits, 0 and 1, to represent numbers, while the base 10, also known as the decimal system, uses ten digits, 0 through 9. To convert a number from one base to another, we use the base conversion algorithm, which involves two steps:

  1. Convert the number to base 10
  2. Convert the number from base 10 to the desired base

To convert '110' from base 2 to the base 10, we first need to convert it to the base 10:

1 * 2^2 + 1 * 2^1 + 0 * 2^0 = 4 + 2 + 0 = 6

Thus, the number '110' in base 2 is '6' in base 10. We can then use the same method to convert '6' from base 10 to the desired base. For instance, if we want to convert '6' to the base 16, also known as the hexadecimal system, we can use the following method:

6/16 = 0 with a remainder of 6

Thus, the equivalent value of 6 in the base 16 is '6'.

In conclusion, converting numbers from one base to another is an indispensable skill that every mathematics student should grasp. With the base conversion algorithm, students can perform this task effortlessly. It is essential to note that there are other conversion methods, including the repeated division method and the positional notation method. However, the base conversion algorithm is the most convenient and straightforward method for beginners.

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