Counting in Binary
This lesson teaches how to count using the binary system, which uses only the digits zero and one. Students will learn to represent numbers in base two and understand the place values associated with binary digits. Activities include grouping counters to illustrate binary numbers.
- 00:59 “which is known as a decimal system. We have digit zero, one, two, three, four, five, six, seven, eight, and nine. We use this digit to represent numbers in base 10. The binary system is the second in importance to our us...”
- 01:45 “Now, counting in groups of two. Counting in group of two is also known as a binary base system. A binary number is made up of zero and one, like I said earlier. An example is one, zero, one, one in base two. One, zero, o...”
- 09:39 “So yeah, there's nothing here too. Okay, yes, two, we have two. So I write one for two. So this two is now gone. We don't have nothing left. So nothing here. So for our base, for our ten, the equivalent in base two is on...”
Addition of Binary Numbers
This lesson teaches how to add two or three-digit binary numbers. It covers the basic rules of binary addition, including carrying over when the sum exceeds one. Several examples are provided to illustrate the process.
- 01:37 “give you one and zero. Write this one, then take the other one, carry the other one to the other side of the next column, one plus one, we give you ten, sixty, one and zero, the right one, then take one to the next colum...”
- 02:30 “one, zero, one, one, one, one, one, so we have one, zero, one, one, one, one, one, one, one, one plus one is one and zero plus one, this, right one, take one to the next column, one plus one is what, ten, that's one and...”
- 00:46 “And also zero plus one equals one, one plus zero equals one. And one plus one equals ten, one and zero. So you must take note of all of this if you must add base two numbers together. Zero plus one equals zero, zero plus...”