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[ 6 marks ] The Boolean operator NOR ( darr ) is functionally complete. This means that you can write a Boolean expression using one

[6 marks] The Boolean operator NOR (darr) is functionally complete. This means that you can write a Boolean expression using one or more NOR operators that produces the same truth table as each of the logical operators AND, OR, and NOT. For each of these three operators , tiwrite a Boolean expression that is equivalent using only the \Phi perator. In each case, prove that your expressions are equivalent using Boolean algebra.[6 marks] The Boolean operator NOR (darr) is functionally complete. This means that you
can write a Boolean expression using one or more NOR operators that produces the same
truth table as each of the logical operators AND, OR, and NOT.
For each of these three operators , tiwrite a Boolean expression that is equivalent
using only the perator. In each case, prove that your expressions are equivalent using
Boolean algebra.
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