ee1215 said:Homework Statement
010110000000000
011001000000000
001100010000000
100100001000000
110100000000100
111100000000001
+
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Homework Equations
The Attempt at a Solution
The answer I get is 1010111011000101
but I have used MATLAB and the first four digits are backwards on my answer per matlab. I am confused on how they get that when carrying the 1 starting with the 12th row from the right.
Binary addition is a mathematical operation that involves adding two binary numbers together to get a sum. Binary numbers are a base-2 numeral system, meaning they only use the digits 0 and 1. Just like addition in the decimal system, binary addition follows the same rules of carrying over digits when the sum is greater than the base number.
To add binary numbers, you can use the same method as addition in the decimal system. Start by adding the rightmost digits together, and if the sum is greater than 1, carry over the 1 to the next column. Continue this process until you have added all the digits. If there is a carry over at the end, add it to the final sum. In the problem 010110000000000 + More, you would start by adding 0 + 0, then 0 + 0, and so on until you reach the last column.
The solution to this problem is 0101100000000001. When adding binary numbers, if the sum of two 1's is 10, you carry over a 1 to the next column and leave a 0 in the current column. In this problem, the last column has two 1's, so you carry over a 1 to the next column and add a 0 in the current column. This results in a final sum of 0101100000000001.
No, binary numbers can be added in any combination, just like decimal numbers. For example, you can add three or more binary numbers together by adding the digits in each column and carrying over as needed. The same rules of carrying over apply, regardless of the number of binary numbers being added.
Yes, binary addition is a fundamental concept in computer science. Computers use binary numbers to represent and process data, and binary addition is used to perform mathematical operations in computer programs. Understanding binary addition is essential for programming and understanding how computers work.