Question

Simplify 110011two × 101 two

Answer 1

We want to multiply the following binary numbers;

`110011_2*101_2`

It would be really convenient to convert this to base ten, multiplying and then reconverting to base 2;

`\begin{gathered} 110011_2=51_(10) \\ 101_2=5_(10) \end{gathered}`

Thus, the multiplication gives;

`51*5=255_(10)`

Converting this back to binary we have the result;

`110011_2*101_2=11111111_2`