You did the 2nd part of problem 1. You still need to do the first part of this problem, and both parts of the other four problems.Marcin H said:
For the 1st parts of the five problems, the assumption is that they are all unsigned numbers, so you would add them as you normally would binary numbers. As an aside, 8-bit unsigned numbers have a range of 0 through 255 in base 10. Signed 8-bit numbers have a range of -128 through 127, base 10.Marcin H said:
Marcin H said:
You just add the numbers. The actual addition of unsigned and 2's complement numbers produces the same result, with the only difference in the detection of a carry for unsigned numbers or overflow for signed numbers.Marcin H said:
Binary addition is a mathematical operation used in computer science to add two binary numbers together. Unlike regular addition, which is done using the base 10 system, binary addition uses the base 2 system. This means that there are only two possible digits, 0 and 1, and any number larger than one must be represented using multiple digits.
The 2's compliment representation is a method used to represent negative numbers in binary form. It involves taking the binary representation of a positive number and flipping all the bits (changing 0s to 1s and 1s to 0s), then adding 1 to the result. This allows for a simple and efficient way to perform subtraction in binary form.
To perform binary addition using the 2's compliment representation, first convert both numbers to their binary form. Then, align the numbers so that the least significant digits are on the right. Add the digits together, starting from the right and moving left. If the sum of two digits is greater than 1, carry over a 1 to the next column. Finally, if the result is larger than the number of bits being used, discard the extra bit. This will give you the correct answer in binary form.
One common mistake is forgetting to add 1 to the final result when using the 2's compliment representation. This can result in an incorrect answer. Another mistake is forgetting to carry over a 1 when the sum of two digits is greater than 1. It is important to carefully check each step of the addition to ensure accuracy.
Binary addition is used in computer science to perform mathematical operations, such as addition and subtraction, on binary numbers. It is also used in data storage and transfer, as all data in computers is represented in binary form. Additionally, binary addition is used in computer programming to perform logical operations, such as AND, OR, and XOR, which are essential for creating complex algorithms and programs.
