<\/span><\/h2>\nBefore diving into the binary representation of 255, let’s take a moment to understand how binary numbers work. In the decimal number system (the one we humans are most familiar with), each digit can represent values from 0 to 9. However, in the binary system, each digit can only represent either 0 or 1.<\/p>\n
To convert a decimal number to binary, you divide the decimal number by 2 repeatedly and note the remainder at each step. Then, reading the remainder digits from the last step to the first gives you the binary representation of the original decimal number.<\/p>\n
Now, let’s calculate the binary value of 255 using this method:<\/p>\n
To convert 255 to binary:<\/p>\n
Step 1: 255 \u00f7 2 = 127 (remainder 1)<\/p>\n
Step 2: 127 \u00f7 2 = 63 (remainder 1)<\/p>\n
Step 3: 63 \u00f7 2 = 31 (remainder 1)<\/p>\n
Step 4: 31 \u00f7 2 = 15 (remainder 1)<\/p>\n
Step 5: 15 \u00f7 2 = 7 (remainder 1)<\/p>\n
Step 6: 7 \u00f7 2 = 3 (remainder 1)<\/p>\n
Step 7: 3 \u00f7 2 = 1 (remainder 1)<\/p>\n
Step 8: 1 \u00f7 2 = 0 (remainder 1)<\/p>\n
Reading the remainder digits from the last step to the first, we get the binary representation of 255 – 11111111. Therefore, the binary value of 255 is 11111111<\/strong>.<\/p>\n