Question: For this problem you will design a circuit to test if a 4-bit unsigned integer is evenly divisible by 6 . Note that you aren't

 For this problem you will design a circuit to test if

For this problem you will design a circuit to test if a 4-bit unsigned integer is evenly divisible by 6 . Note that you aren't doing the division - the output is only a single bit that is " 1 " exactly when the input number is evenly divisible by 6 . The 4-bits of the input number are represented by the inputs W,X,Y and Z, where W is the most significant bit of the number. So, for example, if the input is W=1,X=1,Y=0, and Z=1, then this represents decimal number 13 , and the output O should be 0 because 13 is not evenly divisible by 6 . - Part 1 (5 points): Complete the following truth table for the circuit: - Part 2 (5 points): Give a Boolean formula for the output O as a function of the inputs W,X,Y and Z. - Part 3 (5 points): Give a cireuit implementing the formula you designed in Part 2

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