What are Base 2 Place Values?

Base 2 place values are like counting using only two kinds of blocks, ones and twos, instead of tens and ones.

Imagine you're playing with building blocks, but you can only use blocks that are powers of 2, like 1, 2, 4, 8, 16, and so on. Each block is a different size, and they help you count just like regular place values do, but instead of moving from ones to tens to hundreds, you move from ones to twos to fours to eights.

In base 2, or binary, each position in a number represents a power of 2. The rightmost digit is the ones place (which is $2^0$), then the next one is the twos place ($2^1$), followed by the fours place ($2^2$), and so on.

For example, the binary number 101 means:

• 1 in the fours place (which is $2^2 = 4$)
• 0 in the twos place (which is $2^1 = 2$)
• 1 in the ones place (which is $2^0 = 1$)

So, 4 + 0 + 1 = 5, just like counting with blocks! Base 2 place values are like counting using only two kinds of blocks, ones and twos, instead of tens and ones.

Imagine you're playing with building blocks, but you can only use blocks that are powers of 2, like 1, 2, 4, 8, 16, and so on. Each block is a different size, and they help you count just like regular place values do, but instead of moving from ones to tens to hundreds, you move from ones to twos to fours to eights.