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TechKnowSurge Catalog Videos DEMO: Counting in Binary
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DEMO: Counting in Binary

This hands-on exercise builds fluency in binary counting by walking through the values from 0 to 15 using a structured reference table. Repeated practice is emphasized as the foundation for mastering binary representation.

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About this video

This exercise covers binary counting from 0 to 15, establishing one of the most fundamental skills in computing and networking. Using a reference table, learners work through all 16 values — starting at 0 and progressing through patterns such as 1 for decimal 1, 10 for decimal 2, 11 for decimal 3, 100 for decimal 4, and so on up to 1111 for decimal 15. Understanding how each bit position contributes to the total value is critical for anyone working in IT or cybersecurity, where binary arithmetic underpins everything from IP addressing to data encoding. The exercise is structured as a pause-and-practice activity, meaning learners attempt the full counting sequence independently before comparing their work against the provided answer set. This approach reinforces active recall rather than passive observation, which accelerates retention and builds confidence with the material. Solid fluency in binary counting is a prerequisite for the concepts that follow, and learners are encouraged to repeat the exercise as many times as needed until the progression from 0 to 15 can be completed accurately and without hesitation.

What you'll learn

What's covered

Counting in Binary

Aligned to

CompTIA Tech+
1.1 Compare and contrast notational systems.
1.2 Compare and contrast fundamental data types and their characteristics.
1.5 Compare and contrast common units of measure.

Key terms

Binary
The base-2 number system that uses only the digits 0 and 1; the native language of digital computers, which store and process data as electrical on/off states.
Positional Place Value
The value of a digit determined by its position within a number, where each position represents a power of the number system's base.
Bit
Short for binary digit, the smallest unit of data in computing, holding a single value of 0 or 1; all digital information is ultimately composed of bits.

Transcript

Practice is going to be very critical at this moment. As you progress through this, you'll want to be very familiar with the content, and you want to make sure that you understand the concepts, and the way you're going to do that is through practice, practice, practice.

The task: counting in binary

You're going to need this table to complete this task. You can either get that through my online coursework, you can get it through my booklet, or you could just take a scratch piece of paper, draw this out and start working it out.

The task is to count up to 15. You're going to start out with zero, and then you'll go to one, which is a one; and then a two, which is a one zero; then a three, which is one one; then a four, which is a one zero zero; and so on and so forth until you get all the way to 15. So you're going to have 16 different numbers there. Go ahead and figure this all out, and then we will continue.

After you check your answers

How did you do? Hopefully you did well and you're understanding what needs to happen.

What I want you to do, before you proceed on, is make sure you get really good at counting. You could continue this process and just keep counting, you could reset it and start over and do the first 16 numbers again, or however it's going to make you feel uncomfortable and counting — but make sure that you understand this before you go on.

About TechKnowSurge

TechKnowSurge builds IT and cybersecurity professionals through hands-on, concept-first training built around real understanding — not memorization. Free interactive tools, structured programs, and 25+ years of real-world experience, all in one place.

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