Question

point) Covert the following integers from decimal notation to binary notation. (Do not put extra zeros in front of your binary notation or it might confuse WebWorK. So write 101 versus 0101 etc.) (a) 234

Answer 1

The binary notation of the integer 234 is 11101010.

Explanation:

To convert decimal to binary you must:

1. Divide the number by 2.
2. Get the integer quotient for the next iteration.
3. Get the remainder for the binary digit.
4. Repeat the steps until the quotient is equal to 0.
5. Write the remainders from bottom to top.

So, to convert the decimal number 234 to binary

`\left\begin{array}{ccc}\mathrm{Division\:by \:2}&\mathrm{Quotient}&\mathrm{Remainder}\\234/2&117&0\\117/2&58&1\\58/2&29&0\\29/2&14&1\\14/2&7&0\\7/2&3&1\\3/2&1&1\\1/2&0&1\end{array}\right`

The binary notation of the integer 234 is 11101010.