Calculate the binary form of an integer.

This question requires you to calculate or convert an integer into its binary format. The binary system, which is a base 2 numeral system, functions similarly to the decimal system. It uses two distinct symbols to represent numeric values: typically 0 (representing false) and 1 (representing true). In a binary number with "n" digits, each digit corresponds to a power of 2, specifically (2^n). For instance, the 3rd digit in a binary number equates to (2^2=4) in the decimal system. To determine the binary representation of an integer, you divide the number by 2 and record the remainder in reverse order. This process is repeated until the number reaches 0. Additionally, when you present your solution, please ensure that you: Describe the methodology you are using Clarify each step as you execute it

Consider the integer 12. The procedure to convert this number into binary is as follows: Divide 12 by 2, resulting in 6 with a remainder of 0. Therefore, record 0. Divide 6 by 2, giving 3 with a remainder of 0. Thus, record 0. Divide 3 by 2, which results in 1 with a remainder of 1. Hence, record 1. Divide 1 by 2, yielding 0 with a remainder of 1. So, record 1. Now, arrange these remainders in reverse order; thus, the binary representation of 12 is 1100.

Let’s examine another example, using the integer 15. Here are the steps to convert it into binary: Divide 15 by 2, resulting in 7 with a remainder of 1. Therefore, write down 1. Divide 7 by 2, resulting in 3 with a remainder of 1. Thus, write down 1. Divide 3 by 2, resulting in 1 with a remainder of 1. So, write down 1. Divide 1 by 2, resulting in 0 with a remainder of 1. Hence, write down 1. Consequently, the binary representation of the number 15 is 1111.