Question

A binary number is to be transformed by appending three 0s to the end of the number. For example, 11101 is transformed to 11101000. Which of the following correctly describes the relationship between the transformed number and the original number?.

Answer 1

Numbers can be converted from one base to another base. a. The transformed number is 8 times the value of the original number.

Given that:

Three 0s are appended to a binary digit to get a new binary digit.

Using the given values, the transformation can be illustrated as follows:

Where:

represents the three appended 0s.

In binary  represents 8 in decimal.

So, the above illustration can be expressed as:

This means that the new or transformed number is 8 times the original number.