Problem 2 (20 points): An Xor (Exclusive-Or) gate has two Boolean inputs ππ1 and ππ2, and a Boolean output ππ’π‘. The output is 1 when exactly one of its two inputs are 1 and is 0 otherwise. Design the combinational component SyncXor to capture this desired functionality by composing And, Or, and Not gates. Problem 5 (Bonus 20 points): Consider the asynchronous process Merge[ππ’π‘ β¦ π‘πππ] | Merge[ππ1 β¦ π‘πππ][ ππ2 β¦ ππ3] obtained by connecting two instances of the process Merge. Show the βcompiledβ version of this composite process. Explain the input/output behavior of this composite process.
Problem 2 (20 points): An Xor (Exclusive-Or) gate has two Boolean inputs ππ1 and ππ2, and a Boolean output ππ’π‘. The output is 1 when exactly one of its two inputs are 1 and is 0 otherwise. Design the combinational component SyncXor to capture this desired functionality by composing And, Or, and Not gates.
Problem 5 (Bonus 20 points): Consider the asynchronous process Merge[ππ’π‘ β¦ π‘πππ] | Merge[ππ1 β¦ π‘πππ][ ππ2 β¦ ππ3] obtained by connecting two instances of the process Merge. Show the βcompiledβ version of this composite process. Explain the input/output behavior of this composite process.
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