Find the value of (101)2 in base two

2^2 + 2^0 = ____

What is the answer

It's nice

Find the value of the square of 101two. Give your answer in base two and base ten.

To find the value of (101)2 in base two, we need to convert the number from base two to base ten.

In base two, each digit represents a power of two. The rightmost digit represents 2^0, the next digit represents 2^1, the next digit represents 2^2, and so on.

Let's break down (101)2 into place values:

(101)2 = (1 * 2^2) + (0 * 2^1) + (1 * 2^0)
= (1 * 4) + (0 * 2) + (1 * 1)
= 4 + 0 + 1
= 5

Therefore, the value of (101)2 in base two is 5.