Binary numbers are made up of 1s and 0s. What is the base 10 number for the binary number 1000?

To convert the binary number 1000 to its base 10 equivalent, we need to understand how binary counting works. In binary, each digit represents a power of 2, starting from the rightmost digit which represents 2⁰, the next one represents 2¹, and so on.

For the binary number 1000, we can break it down as follows:

• 1 x 2³ = 1 x 8 = 8
• 0 x 2² = 0 x 4 = 0
• 0 x 2¹ = 0 x 2 = 0
• 0 x 2⁰ = 0 x 1 = 0

Now, adding these together gives us:

8 + 0 + 0 + 0 = 8

Therefore, the base 10 equivalent of the binary number 1000 is 8.