Solving 0x10 + 0xfe: What's the Answer?

  • MHB
  • Thread starter Amathproblem22
  • Start date
In summary, when working with 8-bit unsigned values, the result of adding 0x10 and 0xfe is 0x0e, which is equal to decimal 14. This is because the base system is 16 and the addition of these two numbers results in an overflow, rather than a reset, leading to a smaller value.
  • #1
Amathproblem22
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0
Question: With 8-bit unsigned values, 0x10 + 0xfe =
Answer: 0x0e, which is decimal 14.What I know;
The prefix 0x is used in code to indicate that the number is being written in hex. Base 16.
I also am aware that with 8-bit unsigned values it goes from a range of 0 to 255.

Need help with:
Is this working? 10+f = (10+15, the base system is 16 so this is bigger so resets?) 0?
0+e(14)=14, meaning 0x0e I have probably done the working wrong so that's why I need help. Thanks.
 
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  • #2
Hint: if you use 16bit -
1) 0x10 + 0xfe = 0x10e
2) 0x20 + 0xfe = 0x11e
And in 8 bit:
1) 0x10 + 0xfe = 0x0e
2) 0x20 + 0xfe = 0x1e
So it is more about overflow than reset.
 

FAQ: Solving 0x10 + 0xfe: What's the Answer?

What is the significance of the numbers in the equation 0x10 + 0xfe?

The numbers in this equation represent hexadecimal values, with 0x10 being equivalent to 16 in decimal and 0xfe being equivalent to 254 in decimal. These numbers are often used in computer systems for representing binary data.

How do you solve this equation?

To solve this equation, you must first convert the hexadecimal values to decimal. 0x10 becomes 16 and 0xfe becomes 254. Then, simply add the two values together to get the answer of 270.

Can this equation be solved using different numbering systems?

Yes, this equation can be solved using different numbering systems such as binary or octal. However, the result will be the same as long as the numbers are converted correctly before solving.

What is the purpose of solving this equation in a scientific context?

In a scientific context, solving equations involving different numbering systems can help with data analysis and problem-solving in fields such as computer science and engineering. It also allows for a deeper understanding of how different numbering systems work and their applications.

Are there any real-world applications for this equation?

Yes, there are many real-world applications for equations involving different numbering systems. For example, in computer programming, hexadecimal values are often used to represent colors in graphics and web design. Understanding how to solve these equations is crucial for accurately representing and manipulating data in these fields.

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