ALU status register carry equation

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SUMMARY

The carry (C) equation in an ALU status register is defined as the sum of the last bit primed AND the last carry output, rather than simply the last carry output. This distinction is crucial when the ALU performs arithmetic operations, as the carry bit is generated when an overflow occurs during addition. For example, in an 8-bit ALU, adding binary numbers such as 1100 0000 and 0110 0000 results in a carry that is not represented in the 8-bit output, highlighting the importance of understanding how carry is generated based on the operation performed.

PREREQUISITES
  • Understanding of ALU (Arithmetic Logic Unit) operations
  • Familiarity with binary arithmetic and overflow concepts
  • Knowledge of digital logic gates and their functions
  • Basic understanding of Assembly language programming
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  • Research the carry generation in various ALU architectures
  • Learn about binary addition and overflow detection techniques
  • Explore the implementation of carry lookahead adders
  • Study examples of Assembly code that demonstrate ALU operations
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Engineers, computer architects, and students studying digital electronics or computer architecture who seek to deepen their understanding of ALU operations and carry generation in arithmetic computations.

garr6120
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I was wondering what the carry (C) equation for the logic gates would be in an ALU status register?

I originally thought that it was C equals the last carry output. However, my colleagues tell me its C equals to the sum of the last bit primed AND the last carry output.

Can someone clarify my misconception if I am wrong?
 
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You mean how carry is set if the ALU performs OR, AND or similar operations? It will depend on the ALU, I don't think it makes sense to use the carry bit from these operations.
 
mfb said:
You mean how carry is set if the ALU performs OR, AND or similar operations? It will depend on the ALU, I don't think it makes sense to use the carry bit from these operations.
I mean when the ALU uses arithmetic sorry.
 
garr6120 said:
I originally thought that it was C equals the last carry output. However, my colleagues tell me its C equals to the sum of the last bit primed AND the last carry output.
What does this mean? You get a potential carry output bit set if the result of the add generates an overflow/carry in the target register. How can it be dependent on a previous operation?

Can you give an example of the Assembly code you have in mind, and mention a potential ALU that we can use to answer the question?
 
For example...

http://www.learnabout-electronics.org/Digital/images/ALU-logisim.gif
ALU-logisim.gif
 

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garr6120 said:
I mean when the ALU uses arithmetic sorry.
There, carry is simply the next bit after the largest bit the ALU regularly has. If you want to add 1100 0000 + 0110 0000 the result is 1 0010 0000, but an 8-bit ALU can only show 0010 0000, the remaining bit is treated as carry.
 

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