How would the decimal number 1.1 be represented in binary?

Understand the Problem

The question is asking for the binary representation of the decimal number 1.1. We will need to convert the decimal into binary form, which involves separating the whole part and the fractional part and converting each to binary.

More Information

The binary representation of 1.1 decimal is a repeating binary fraction. It's similar to how 1/3 is represented in decimal form as 0.333... There is no exact representation of 1.1 in binary; hence, 1.1 is represented approximately as 1.000110011001100110...

Tips

Forgetting that some decimal numbers can produce repeating sequences in binary conversion is a common mistake. Breaking down the conversion into whole and fractional parts separately can help.

Sources

• 1.1 decimal to binary conversion - RapidTables.com - rapidtables.com
• How do you represent decimals in binary? : r/askscience - Reddit - reddit.com