Find the value of (101)^2 in base two

Answer 1

To find the value of (101)^2 in base two, we first convert the base 10 number 101 into base 2.

101 = 1100101

Now we square the base 2 number:

(1100101)^2 = 1100101 * 1100101

Performing the multiplication:

1 1 0 0 1 0 1
× 1 1 0 0 1 0 1
———————————————————————
1 1 0 0 1 0 1 (1)
1 1 0 0 1 0 1 (2)
1 1 0 0 1 0 1 (3)
1 1 0 0 1 0 1 (4)
———————————————————————
1 0 1 0 0 0 0 1 1 0 0 1 0 1 (5)

Therefore, (101)^2 in base two is 10100001100101.

Answer 2

Assuming that 101 is already in base 2, then
(101)^2 = 101 * 101 = 10100 + 101 = 11001

check: 5^2 = 25 okay

Answer 3

Apologies for the confusion. You are correct, since 101 is already in base 2, no conversion is necessary.

(101)^2 = 101 * 101 = 10100 + 101 = 11001

So, the value of (101)^2 in base two is 11001. Thank you for catching that mistake!