- #1
kidi3
- 26
- 0
Homework Statement
Addition.
3 binarynumbers
101111000
10111110
+ 10001101
The Attempt at a Solution
111
111111
101111000
10111110
+ 10001101
1011000011
Is it correct?
101111000
10111110
+ 10001101
---------------
1011000011kidi3 said:Well.. that's what i hoped wasn't the case...
My books says that it's incorrect.
It says that the answer should be
http://snag.gy/mjQzv.jpg
kidi3 said:Well.. that's what i hoped wasn't the case...
My books says that it's incorrect.
It says that the answer should be
http://snag.gy/mjQzv.jpg
jedishrfu said:The very first line is labeled with C to indicate the carries from column to column.
To add three binary numbers, you start with the rightmost digit and add each column, carrying over any remainders. If the sum in a column is 0, the result is 0. If the sum is 1, the result is 1. If the sum is 2, the result is 0 and a carryover of 1. If the sum is 3, the result is 1 and a carryover of 1. Repeat this process for each column until you reach the leftmost digit.
To check if your answer is correct, you can convert the binary numbers back to decimal and add them together. If your result matches the decimal value of the sum, then your answer is correct.
Yes, you can use a calculator to add three binary numbers. Most scientific calculators have a function for converting between decimal and binary numbers, making it easier to check your answer.
If one of the binary numbers has more digits than the others, you can add additional zeros to the beginning of the shorter numbers to make them the same length. This will ensure that each column has a number to add and the final result will be accurate.
Yes, you can use a binary addition table to add three binary numbers quickly. This table is similar to a multiplication table and provides the sum of two binary numbers at a glance. However, it may take some time to memorize the table. Another faster method is to use the binary addition algorithm, which involves adding two numbers at a time and then adding the third number to the result. This method may take practice but can be faster once mastered.