What numbers are included in the binary number system?
A. $1-9$
B. $1-7$
C. $0-1$
D. $0-8$
Answer (2)
The binary number system includes only the digits 0 and 1 . The correct answer is option C: 0 − 1 .
;
The binary number system is a base-2 system.
It uses only two digits: 0 and 1.
Option c, 0 − 1 , includes only the digits used in the binary system.
The correct answer is c .
Explanation
Understanding the Question The question asks us to identify which numbers are used in the binary number system. Let's break down what that means.
Binary System Basics The binary number system is a base-2 system. This means it only uses two digits to represent all numbers. These digits are 0 and 1.
Analyzing the Options Now, let's look at the options: a. 1 − 9 : This includes numbers from 1 to 9, which is more than just 0 and 1. b. 1 − 7 : This includes numbers from 1 to 7, which is also more than just 0 and 1. c. 0 − 1 : This includes only 0 and 1, which matches the binary system. d. 0 − 8 : This includes numbers from 0 to 8, which is more than just 0 and 1.
Conclusion Therefore, the correct answer is c. 0 − 1 , because the binary number system only uses the digits 0 and 1.
Examples
In computers, the binary system is fundamental. Everything from storing data to executing instructions relies on representing information using 0s and 1s. For example, a light switch can be either off (0) or on (1), representing a single bit of information. Combining many bits allows computers to represent complex data like text, images, and videos. Understanding the binary system is crucial for anyone studying computer science or electrical engineering.
