Which of the following statements about number systems is true?
Practice Questions
Q1
Which of the following statements about number systems is true?
Base-10 is the only positional system
Base-2 can represent all integers
Base-16 is less efficient than base-10
Base-5 cannot represent fractions
Questions & Step-by-Step Solutions
Which of the following statements about number systems is true?
Step 1: Understand what a number system is. A number system is a way to represent numbers using a set of symbols.
Step 2: Learn about base-2, also known as binary. In base-2, there are only two symbols: 0 and 1.
Step 3: Recognize that base-2 is a positional system. This means the position of each digit affects its value.
Step 4: Realize that in base-2, you can represent any integer by combining 0s and 1s in different positions.
Step 5: Conclude that since base-2 can represent all integers, the statement 'Base-2 can represent all integers, as it is a complete positional system' is true.
