Final answer:
In binary, odd integers always end with a 1 and even integers always end with a 0.
Step-by-step explanation:
In binary, odd integers always end with a 1 and even integers always end with a 0. This is because the binary system only uses two digits, 0 and 1. When converting a decimal number to binary, if the number is odd, the rightmost digit will be 1. If the number is even, the rightmost digit will be 0.
The rule to determine if an integer is odd or even in binary is based on the last digit of its binary representation. If the last digit (least significant bit) is a 1, the integer is odd, and if it's a 0, the integer is even. This is because binary numbers are sums of powers of 2, and only the presence of the least significant bit (20, which equals 1) determines the oddness of the number.
For example, the decimal number 5 is odd. In binary, it is represented as 101, where the rightmost digit is 1. On the other hand, the decimal number 8 is even. In binary, it is represented as 1000, where the rightmost digit is 0.