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

Solution:

Binary numbers are made up of 1s and 0s.

The given binary number is 1000

We have to find the base 10 number for the binary number 1000

In order to convert the binary number to a base of 10

The place value must be multiplied by 2 the power from lowest to highest.

By applying this method

1000 = 1 × 2³ + 0 × 2² + 0 × 2¹ + 0 × 2⁰

By further calculation

1000 = 2³ + 0 + 0 + 0

1000 = 8

Therefore, the base 10 number is 8.

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

Summary:

Binary numbers are made up of 1s and 0s. The base 10 number for the binary number 1000 is 8.