Binary AND Operation
Computer Science
Level
2
If you're given the following 4 bits:
0010
What are all the possible AND combinations the product could be for this sequence? (Given all other combinations are also 4 bits)
1111, 0010, 1010, 0101
1101, 1100
0010
0010, 0000
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1 solution
AND combinations require both bits to be 1 for their product to be 1. For example,
1111 and 1101
1 and 1 = 1
1 and 1 = 1
1 and 0 = 0
1 and 1 = 1
So your final product will be 1101
If you only have one 1, then only 2 combinations are possible. Either than 1 stays a 1 in the product, or it becomes a 0. Therefore, 0010 could only possibly be 0000 or 0010.