Explanation
The binary equivalent of the decimal number of 233 is 11101001. To find this, we can use the following method:
* Divide 233 by 2 and write down the remainder. The remainder is either 0 or 1.
* Divide the quotient by 2 and write down the new remainder.
* Repeat this process until the quotient is 0.
* Write the remainders from the bottom to the top. This is the binary equivalent.
For example:
Table
Quotient
Remainder
233 / 2
1
116 / 2
0
58 / 2
0
29 / 2
1
14 / 2
0
7 / 2
1
3 / 2
1
1 / 2
1
0 / 2
0
The remainders from the bottom to the top are 11101001, which is the binary equivalent of 233.
References:
1: Decimal to Binary Converter - RapidTables 2: How to Convert Decimal to Binary - wikiHow 3: Decimal to Binary Conversion Methods - GeeksforGeeks