Question

Now that you have experience with converting to and from binary, take a look at the following problems. Each problem gives you a set of decimal, binary, or binary and decimal numbers (assume for this activity if the number only has 1s and 0s, then it is a binary number) and your job is to order the values from smallest to largest.

Answer 1

This is a Mathematics question in the High School grade where students are asked to order a set of decimal and binary numbers from smallest to largest, which involves converting binary to decimal and comparing digit place values.

Step-by-step explanation:

The subject of the question is Mathematics, specifically focusing on the concepts of numeral systems and comparison of numbers. The task is to order given numbers in binary and decimal format from smallest to largest. To accomplish this, you may first need to convert binary numbers to their decimal equivalents, so they can be compared directly. To compare decimal numbers, you can use the same method as comparing metric measurements, ensuring all numbers are in the same unit (base) for a fair comparison.

• First, convert binary numbers to decimal, if necessary.
• Ensure all decimal numbers are in the same unit (base).
• Compare digits with the same place value from left to right.

For problems involving conversions between units (such as kilometers to millimeters), remember the concept of multiple conversions. You can convert in stages by first moving to the base unit and then to the target unit using an appropriate factor. When dealing with exponential numbers, such as powers of ten, shifting the decimal place is often required. This skill is also crucial when working in scientific fields, like chemistry, where scientific notation is commonly used to handle very large or small numbers.