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It may be helpful to think about this as a table. 9 functions from 2 to 3 - How many 2 digit numbers in base 3? Each row represents a function from {True,Fals
by kahirsch 11y ago
It may be helpful to think about this as a table.
9 functions from 2 to 3 - How many 2 digit numbers in base 3?
Each row represents a function from {True,False} to {A,B,C}.
False True
----- -----
A A Function 1 f₁(False)=A f₁(True)=A
A B Function 2 f₂(False)=A f₂(True)=B
A C Function 3 etc.
B A Function 4
B B Function 5
B C Function 6
C A Function 7
C B Function 8
C C Function 9
8 functions from 3 to 2 - How many 3 digit numbers in base 2?
A B C
----- ----- -----
False False False Function 1 f₁(A)=False f₁(B)=False f₁(C)=False
False False True Function 2 f₂(A)=False f₂(B)=False f₂(C)=True
False True False Function 3 etc.
False True True Function 4
True False False Function 5
True False True Function 6
True True False Function 7
True True True Function 8