Question

Express in base two the square of 11 two​

Answer 1

Explanation:

first of all , we do 11 ×11=121 base two.

we find the value of 121 base two completely in base two because base two numbers deal with 0 and 1.

so, 121 ÷2 = 60 rem 1.

 60÷ 2 = 30 rem 0

 30 ÷2 = 15 rem 0

 15 ÷2 = 7 rem 1

 7 ÷ 2 = 3 rem 1

 3 ÷ 2 = 1 rem 1

and 1 ÷ 2 = 0 rem 1.

And our final answer is 1111001 base two.

Answer 2

Answer:
`\boxed{1111001_2}`

Explanation:

First, we should find the square of 11.

`11^2`

`=11*11\\=121`

Now we convert to base 2:

First number:
`121/2=60R1`

Second:
`60/2=30R0`

Third:
`30/2=15R0`

Fourth:
`15/2=7R1`

Fifth:
`7/2=6R1`

Sixth:
`3/2=1R1`

Seventh:
`1/2=0R1`

Our final answer is:
`\boxed{1111001_2}`.