ALU status register carry equation

In summary, the carry equation for logic gates in an ALU status register depends on the type of operation being performed. For arithmetic operations, the carry is the next bit after the largest bit the ALU regularly has. This means that if adding two numbers results in a carry, it will be reflected in the carry bit of the status register. However, for other operations such as OR or AND, it may not make sense to use the carry bit. The specific ALU being used will also play a role in determining the carry equation.
  • #1
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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  • #2
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.
 
  • #3
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.
 
  • #4
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?
 
  • #5
For example...

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

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  • #6
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.
 

Related to ALU status register carry equation

1. What is an ALU status register carry equation?

An ALU (Arithmetic Logic Unit) status register carry equation is a mathematical expression used to determine whether a carry bit should be generated or not during an arithmetic operation. It helps in detecting overflow or underflow conditions in addition and subtraction operations.

2. How is an ALU status register carry equation calculated?

The calculation of an ALU status register carry equation depends on the type of operation being performed. For an addition operation, the equation is calculated by adding the carry bit to the sum of the two operands. For a subtraction operation, the equation is calculated by subtracting the carry bit from the difference of the two operands.

3. What is the purpose of an ALU status register carry equation?

The purpose of an ALU status register carry equation is to ensure that the result of an arithmetic operation is within the range of values that can be represented by the computer's memory. It helps in detecting and handling arithmetic errors, such as overflow and underflow, which can lead to incorrect results.

4. How does an ALU status register carry equation affect the performance of a computer?

An ALU status register carry equation does not significantly affect the performance of a computer. It is a small part of the overall operations performed by the ALU and is necessary for ensuring the accuracy of arithmetic operations. However, if the equation is not implemented properly, it can result in incorrect results and affect the performance of the computer.

5. Is an ALU status register carry equation the same for all computers?

No, the ALU status register carry equation may vary slightly for different computers depending on their architecture and instruction set. However, the basic concept and purpose remain the same - to detect and handle arithmetic errors during operations.

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