Question

Convert 1000110binary into decimal number system​

Answer 1

70₁₀

Explanation:

In order to convert a binary number into a decimal, it is expanded in the power of 2. Then, by simplifying the expanded form of the binary number, we obtain a decimal number.

Let's solve:

`1000110`

`= 1 * {2}^(6) + 0 * {2}^(5) + 0 * {2}^(4) + 0 * {2}^(3) + 1 * {2}^(2) + 1 * {2}^(1) + 0 * {2}^(0)`

`= 1 * 64 + 0 * 32 + 0 * 16 + 0 * 8 + 1 * 4 + 1 * 2 * 0 * 1`

`= 64 + 0 + 0 + 0 + 4 + 2 + 0`

`= 70`₁₀

Hope I helped!

Best regards!!