Learn the Binary Basics

Binary is a numerical system that uses only two digits: 0 and 1. It is a boolean system, meaning it is built upon "true" vs. "false," with 0 and 1 being represented respectively. Binary serves a major part in the foundation of all digital systems (most notably--computers!). In this mini lesson, you can learn and practice binary and binary decimal conversion. In Binary, each digit is called a "bit," and it represents a power of 2.

Binary Math Basics:

In decimal (our usual base-10 system), each digit represents a power of 10. Similarly, in binary:

• 1 bit represents 2⁰ (1)
• 2 bits represent 2¹ (2)
• 3 bits represent 2² (4)
• 4 bits represent 2³ (8)
• 5 bits represent 2⁴ (16)

When counting in binary, you start from the right, and each digit represents a higher power of 2 as you move to the left. Maybe think of it as selecting the numbers as components you need in order to create a sum up to a given number.

• Click the "Check" button to check your answer
• Click the "New" button to randomize the given number and reset the buttons
• You can adjust the number of bits between 5-8 in the white box and clicking the "Apply" button afterward

Number of Bits:

Once you feel confident enough in your basic binary skills, practice with them by navigating to the 5x5 Binary Practice at the top left!