Arithmetic Instructions
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Introduction to Arithmetic Instructions
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Today, we will explore arithmetic instructions in the 8085 microprocessor. Can anyone tell me what operations fall under arithmetic instructions?
I think they include addition and subtraction.
Yes, that's correct! Arithmetic instructions primarily handle addition, subtraction, increment, and decrement. Let's break down the addition instructions first.
How does the processor know if the addition goes beyond the maximum value?
Great question! The Carry Flag is set if there is an overflow during addition. This is important for handling multi-byte calculations. Remember A + B = C; if there's an overflow, CY will be 1!
Can you explain the `ADD R` instruction with an example?
Absolutely! If A contains 10H and we add B, if B contains 05H, after `ADD B`, A becomes 15H. The Carry flag, AC, and other flags will be updated accordingly.
To recap, arithmetic instructions are crucial for data processing in the 8085, directly influencing the Carry and Zero flags, which can determine the flow of a program.
Subtraction and Increment/Decrement Instructions
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Now, let's discuss subtraction. The instruction `SUB R` subtracts a specified register from the Accumulator. Who can remind me of the flags affected during subtraction?
The Zero, Sign, and Carry flags!
Right! After a subtraction operation, if the result is negative, the Sign Flag will be set. What about increment and decrement instructions?
They increase or decrease the value, right? And they affect flags too?
Exactly! `INR` increases the value by 1 and `DCR` decreases it. Both affect the Zero flag if the result is zero but do not affect the Carry flag. For example, if B is 0FH, and we perform `INR B`, B will become 10H.
To summarize, understanding how these instructions affect flags is crucial for implementing logical conditions in your code.
Decimal Adjust and Double Addition
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Lastly, let's look at special instructions like `DAA` and `DAD`. Does anyone know why we use `DAA`?
Isn't it to correct results after an addition operation to get valid BCD?
That's correct! `DAA` adjusts the Accumulator to ensure it holds valid BCD digits. Can someone describe `DAD`?
It adds a register pair to the H-L register pair, right?
Exactly! Itβs often used for adding numbers larger than what a single register can hold without affecting most flags except CY. Remember, these operations are essential for manipulating numerical data effectively.
In conclusion, these arithmetic instructions enable the processor to perform complex calculations and manage data efficiently. Always observe the flags for better flow control in your programs.
Introduction & Overview
Read summaries of the section's main ideas at different levels of detail.
Quick Overview
Standard
In this section, we explore the arithmetic instructions available in the 8085 instruction set. These instructions perform addition, subtraction, incrementing, and decrementing operations. Importantly, they also affect the status flags, which provide feedback on the results of these operations, crucial for conditional programming.
Detailed
Arithmetic Instructions in the 8085 Microprocessor
The 8085 microprocessor supports several arithmetic instructions that allow it to perform basic mathematical calculations such as addition, subtraction, incrementing, and decrementing numbers stored in registers or memory. Understanding these instructions is critical as they manipulate data and influence the processor's status flags, which indicate the results of operations and control program flow.
Key Arithmetic Instructions
- Addition Instructions: These include:
ADD R: Adds the content of a specified register R to the Accumulator, storing the result in the Accumulator.ADD M: Adds content from a memory location (pointed by H-L) to the Accumulator.ADI Data: Adds an immediate 8-bit data value to the Accumulator.-
ADC R/M: Adds content from a register or memory along with the Carry flag. - Subtraction Instructions: Similar to addition, subtraction instructions are:
SUB R: Subtracts the content of a register R from the Accumulator.SUB M: Subtracts content from memory pointed by H-L from the Accumulator.SUI Data: Subtracts immediate data from the Accumulator.-
SBB R/M: Subtracts register or memory content, along with the Borrow flag. -
Increment/Decrement Operations: Increments or decrements values in registers or memory without affecting the Carry flag, including
INR R/MandDCR R/M. -
Double Addition: The
DAD Rpinstruction adds the content of a register pair to the H-L register pair without affecting most flags except the Carry flag. -
Decimal Adjust: The
DAAinstruction adjusts the Accumulator value to form a valid BCD after an addition operation.
Flags Affected by Arithmetic Operations
The execution of these arithmetic operations directly affects the flags in the Flag Register:
- S (Sign Flag): Indicates if the result is negative.
- Z (Zero Flag): Set if the result is zero.
- AC (Auxiliary Carry Flag): Indicates carry between nibbles.
- P (Parity Flag): Reflects the parity of the result.
- CY (Carry Flag): Set if thereβs a carry out from the most significant bit.
These operations are fundamental to data manipulation in programming and necessitate careful consideration of the flags resulting from their execution.
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Introduction to Arithmetic Instructions
Chapter 1 of 5
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Chapter Content
These instructions perform addition, subtraction, increment, and decrement operations. They affect the flags (S, Z, AC, P, CY) based on the result.
Detailed Explanation
Arithmetic instructions are essential commands in computer programming that allow the microprocessor to perform mathematical operations such as addition, subtraction, incrementing, and decrementing values. Each operation impacts specific flags in the flag register. For example, after an addition, the Sign flag (S) indicates if the result is negative, the Zero flag (Z) shows if the result is zero, and the Carry Flag (CY) tells if there was a carry out from the most significant bit.
Examples & Analogies
Think of arithmetic instructions like a calculator. When you perform a calculation like 2 + 3, the calculator not only gives you a result of 5 but also displays an indicator if the result is zero or negative. Just like the calculator keeps track of these different states, the microprocessor uses flags to remember the results of its operations.
Addition Operations
Chapter 2 of 5
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Chapter Content
Addition:
- ADD R: Add content of register R to Accumulator. Result in A.
- Numerical Example: If A=10H, B=05H, after ADD B, A will be 15H.
- Flags: Z=0, P=1 (even parity for 15H=00010101B), CY=0, AC=0, S=0.
- ADD M: Add content of memory pointed by H-L to Accumulator. Result in A.
- ADI Data: Add immediate 8-bit Data to Accumulator. Result in A.
- ADC R: Add content of register R to Accumulator with Carry flag. (A = A + R + CY).
- ADC M: Add content of memory pointed by H-L to Accumulator with Carry flag.
- ACI Data: Add immediate 8-bit Data to Accumulator with Carry flag.
Detailed Explanation
Addition instructions in the 8085 microprocessor allow the addition of numbers either stored in registers or in memory. The ADD R instruction adds the value in register R to the value stored in the Accumulator (A). The result updates the Accumulator. Similar operations can be performed with memory locations using ADD M. Operations like ADC and ACI include the Carry Flag in the calculation, accounting for previous arithmetic operations that may have resulted in a carry.
Examples & Analogies
Consider filling a container with water (Accumulator) and adding different measuring cups of water (registers). Each time you pour water from a cup into the container, you are effectively adding that amount to your total. If you have a cup full of water and a little spill (carry), you want to remember that for the next time you pour; this is what the Carry Flag does!
Subtraction Operations
Chapter 3 of 5
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Chapter Content
Subtraction:
- SUB R: Subtract content of register R from Accumulator. Result in A. (A = A - R).
- Numerical Example: If A=10H, B=05H, after SUB B, A will be 0BH.
- Flags: Z=0, P=1 (even parity for 0BH=00001011B), CY=0 (no borrow), AC=0, S=0.
- SUB M: Subtract content of memory pointed by H-L from Accumulator.
- SUI Data: Subtract immediate 8-bit Data from Accumulator.
- SBB R: Subtract content of register R from Accumulator with Borrow (A = A - R - CY).
- SBB M: Subtract content of memory pointed by H-L from Accumulator with Borrow.
- SBI Data: Subtract immediate 8-bit Data from Accumulator with Borrow.
Detailed Explanation
In subtraction, the SUB instruction subtracts the value held in a specified register or memory from the value in the Accumulator. Similar to addition, this operation updates the Accumulator with the result. The presence of the Carry Flag indicates whether the last operation produced a borrow, which can be factored into subsequent calculations with instructions like SBB.
Examples & Analogies
Imagine you have some money in your wallet (Accumulator) and you buy a snack (the value in R or memory). Subtracting the cost from the money in your wallet gives you a new, smaller amount, and if you werenβt fully prepared for the expense, that slight shortfall (borrow) will need to be taken into account when you next decide to buy something.
Increment and Decrement Operations
Chapter 4 of 5
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Chapter Content
Increment/Decrement:
- INR R: Increment content of register R by 1. (Affects all flags except CY).
- Numerical Example: If B=0FH, after INR B, B will be 10H.
- DCR R: Decrement content of register R by 1. (Affects all flags except CY).
- INR M: Increment content of memory pointed by H-L by 1. (Affects all flags except CY).
- DCR M: Decrement content of memory pointed by H-L by 1. (Affects all flags except CY).
- INX Rp: Increment content of register pair Rp (BC, DE, HL) by 1. (Does NOT affect any flags).
- Numerical Example: If HL=1FFFH, after INX H, HL will be 2000H.
- DCX Rp: Decrement content of register pair Rp by 1. (Does NOT affect any flags).
Detailed Explanation
The increment and decrement instructions allow for quick adjustments to register values. Incrementing increases the register by one, while decrementing reduces it by one. Most of these operations affect the flag register, helping keep track of the states resulting from these operations, except for the DCX and INX operations, which don't affect any flags.
Examples & Analogies
Think of incrementing and decrementing like adjusting the volume on a speaker. Turning the knob (increment) makes the sound louder, while turning it back (decrement) makes it quieter. Just as you might remember the last volume level you set (state of flags), incrementing and decrementing in a program keeps track of your 'volume level' in the form of register values.
Double Addition and DAA
Chapter 5 of 5
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Chapter Content
Double Addition:
- DAD Rp: Add content of register pair Rp (BC, DE, HL) to H-L pair. Result in H-L. (Only affects CY flag).
- Numerical Example: If HL=1000H, DE=2000H, after DAD D, HL will be 3000H.
- Decimal Adjust Accumulator (DAA):
- DAA: Adjusts the content of the Accumulator to form a two-digit BCD number after an addition operation. It uses the Carry and Auxiliary Carry flags.
- Numerical Example: If A=18H and we add 23H (BCD numbers) without DAA: ADD A, #23H -> A=3BH. After DAA, A will be 41H (because 18+23 = 41 decimal).
Detailed Explanation
Double addition allows for efficient addition of larger numerical values by adding register pairs to a combined register like H-L. The DAA instruction adjusts the result in the Accumulator to ensure it forms valid Binary Coded Decimal (BCD) representations, aiding calculations that require precise numeral formatting.
Examples & Analogies
Consider packing two boxes of goods where each box's weight needs to be considered together (double addition). After calculating the total weight, you realize it needs to be presented in a specific format for display β similar to how DAA reformats the accumulatorβs result for proper numerical representation.
Key Concepts
-
Arithmetic Instructions: Operations like addition, subtraction, incrementing, and decrementing numbers stored in registers or memory.
-
Flags: Status indicators that provide information about the results of arithmetic operations, affecting program flow.
Examples & Applications
If A = 10H and B = 05H, after executing 'ADD B', A = 15H.
If A = 10H, after executing 'SUB B' with B = 05H, A = 0BH.
Memory Aids
Interactive tools to help you remember key concepts
Rhymes
Add it up, clear and neat, keep those flags for a treat!
Stories
Once upon a time, in the land of registers, lived the Accumulator. With each addition and subtraction, he kept track of his values using the wise flags, like Sign and Zero!
Memory Tools
Remember the flags with βZAPSβ: Zero, Auxiliary Carry, Parity, Sign
Acronyms
Use 'DAA' for Decimal Adjustments After Addition.
Flash Cards
Glossary
- ADD
An instruction to add the contents of a register or memory location to the Accumulator.
- SUB
An instruction to subtract the contents of a register or memory location from the Accumulator.
- INR
An instruction to increment the value of a register or memory location by 1.
- DCR
An instruction to decrement the value of a register or memory location by 1.
- DAA
An instruction to adjust the value in the Accumulator to form a valid BCD number after an addition.
- DAD
An instruction to add the contents of a register pair to the H-L register pair.
- Carry Flag (CY)
A flag that indicates a carry out from the most significant bit during arithmetic operations.
- Zero Flag (Z)
A flag that is set if the result of an operation is zero.
- Sign Flag (S)
A flag that indicates if the result of an operation is negative.
Reference links
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