The difference from the previous BNF is that the "0" option is removed from `<even>`, indicating that numbers cannot begin with 0.
1) BNF for a language containing all positive even integers allowing numbers to begin with 0:
```
<even> ::= "0" | "2" | "4" | "6" | "8"
<number> ::= <even> <digit>*
<digit> ::= "0" | "1" | "2" | "3" | "4" | "5" | "6" | "7" | "8" | "9"
```
In this BNF representation, `<even>` represents the possible even digits (0, 2, 4, 6, 8), `<number>` represents a positive even integer, and `<digit>` represents any digit from 0 to 9.
2) BNF for a language containing all positive even integers without numbers beginning with 0:
```
<even> ::= "2" | "4" | "6" | "8"
<number> ::= <even> <digit>*
<digit> ::= "0" | "1" | "2" | "3" | "4" | "5" | "6" | "7" | "8" | "9"
```
In this BNF representation, `<even>` represents the possible even digits (2, 4, 6, 8), `<number>` represents a positive even integer, and `<digit>` represents any digit from 0 to 9. The difference from the previous BNF is that the "0" option is removed from `<even>`, indicating that numbers cannot begin with 0.
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