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The question seems pretty well formulated
I have a virtual machine which implements only AND, XOR, SHL and SHR, yet I have to do a “OR 0x01” operation.
First of all having a correct bitwise computation for the following two variables is sufficient, because they cover all combinations:
A=0101
B=0011
We want
0101
0011
A or B
0111
for xor we get
0101
0011
A xor B
0110
for and we get
0101
0011
A and B
0001
so if we connect them with an xor we are done.
(A xor B) xor (A and B)