The question asks about the fundamental building blocks, the digits, used in the binary number system. Understanding number systems is crucial in computer science and mathematics.

Understanding the Binary Number System Digits

Number systems use a set of digits to represent quantities. The number of unique digits available in a system is determined by its base. The binary number system is a base-2 system.

In a base-N system, the digits used range from 0 up to N-1. Since the binary system is a base-2 system, it uses only two distinct digits.

These two digits are:

• 0 (Zero)
• 1 (One)

Therefore, any number represented in the binary system is composed entirely of sequences of 0s and 1s.

Comparing Binary with Other Number Systems

To better understand the binary system, let's compare it briefly with the decimal system, which is the number system we use in everyday life.

• Decimal System: This is a base-10 system. It uses 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
• Binary System: This is a base-2 system. It uses only 2 digits: 0 and 1.

Computers and digital electronics use the binary system because it is simple to represent the two digits (0 and 1) using electronic states like off/on, low voltage/high voltage, or no current/current.

Example of a Binary Number

A number like 10110 is a valid binary number because it only contains the digits 0 and 1. A number like 201 cannot be a binary number because it includes the digit 2, which is not part of the binary digit set.

Summary of Binary Digits

The digits used in the binary number system are strictly confined to zero and one. This two-digit set is the foundation for all binary representations.

Revision Table: Number System Digits

Additional Information on Number Systems

Different number systems are used for various purposes. The base of a number system determines the place value of each digit in a number. For example, in the decimal number 123, the '3' is in the units place ($10^0$), the '2' is in the tens place ($10^1$), and the '1' is in the hundreds place ($10^2$).

Similarly, in a binary number like $1011_2$ (the subscript 2 indicates it's binary), the rightmost '1' is in the $2^0$ place, the next '1' is in the $2^1$ place, the '0' is in the $2^2$ place, and the leftmost '1' is in the $2^3$ place.

Converting between number systems is a common operation in computer science and digital electronics. Understanding the digits used in each system is the first step.