Logic Instructions

Manipulating series of ones and zeroes

Manipulating series of ones and zeroes

Definitions of the Logic InstructionsAND A,B = Performs AND operation on each individual bit of A and B. A must be a register or memory location. B can be a memory location, register, or number. Result is stored to A.OR A,B = Performs OR operation on each individual bit of A and B. A must be a register or memory location. B can be a memory location, register, or number. Result is stored to A.XOR A,B = Performs XOR operation on each individual bit of A and B. A must be a register or memory location. B can be a memory location, register, or number. Result is stored to A.NOT A = Performs NOT operation on each individual bit of A. A must be a register or memory location. Result is stored to A.So far, we've only seen what happens when we perform an AND, OR, XOR, or NOT operation on a single bit (a single binary value). But of course, assembly performs these operations in large groups of bits. Those bits are held and stored in registers, of course, as plain-old hexadecimal numbers. Now, I will be representing the logic operations (operations that involve AND, OR, XOR, NOT) using "columnar mathematics". Stop panicking. You are not going to have to memorize what "columnar mathematics" are, because you already know how to do it (at least, I hope you already know how to do it). For example, this is how you would add 123 to 456 using columnar mathematics: ```
123
+ 456
579
```
See? The numbers are added in columns. Oh wow! It's just elementary school math! Now let's apply that to assembly, except not with addition:```
00010010
AND 01100110
00000010 ;an AND operation is performed on each column of bits.
```
10010 (bin) is 18 (dec). 1100110 (bin) is 102 (dec). 10 (bin) = 2 (dec).That means, you could write the above math statement as "18 AND 102 = 2" Setting Bits To forcibly set binary bits, use the OR statement: ```
00101001
OR 01111010
01111011 ;an OR operation is performed on each column of bits.
```
Use a 1 to force that bit to become 1. If you want to leave a particular bit unchanged, use a 0.Resetting Bits To forcibly reset binary bits, use the AND statement: ```
00111011
AND 01010110
00010010 ;an AND operation is performed on each column of bits.
```
Use a 0 to force that bit to become 0. If you want to leave a particular bit unchanged, use a 1.Flipping Bits To flip particular binary bits, use the XOR statement: ```
00111011
XOR 01110110
01001101
```
Use a 1 to flip the other corresponding bit. If you don't want to flip a particular bit, use 0.Flip All Bits To flip all the bits of a particular number, use the NOT statement: ```
NOT 01110110
10001001
```
NOT will simply change the value of each bit into the opposite value.Example Using Real Code So, what actually happens during the above sequence of two instructions? First, let's convert 5765 (hex) and 34C (hex) to binary: 5765 (hex) = 101011101100101 34C (hex) = 1101001100 Well, those are two massive-looking numbers. After that, perform a bitwise AND: ```
101011101100101 ;EAX holds this number, which is equal to 5765 (hex)
AND 000001101001100 ;this is equal to 34C (hex)
000001101000100
```
The answer, 1101000100 (bin), is stored into EAX. Of course, it's stored in hex format. So EAX now holds 344 (hex), which is equal to 1101000100 (bin).
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