a circuit that has two 2-bit unsigned integers X=x1x0 and Y=y1y0 as input. The circuit provides two output functions. The first function, a single bit, is called CLOSE. CLOSE is to be one if |X - Y ≤1, and 0 otherwise. The second function is the 2-bit difference D=d1d0 that equals X - Y if X>Y, and 00 if X

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a circuit that has two 2-bit unsigned integers X=x1x0 and Y=y1y0 as input. The circuit provides two
output functions. The first function, a single bit, is called CLOSE. CLOSE is to be one if |X - Y ≤1,
and 0 otherwise. The second function is the 2-bit difference D=d1d0 that equals X - Y if X>Y, and 00
if X<Y.
An example could be...
If x = x1x0 = 10 and Y= y1y0 = 11, then X = 2 and Y = 3. Therefore CLOSE = 1, because | X - Y| = | 2-3
=-1 |=1. The difference D = 00 because X
Now, let's apply our logical thinking to this circuit design. Start by creating a truth table with four
input and three output variables. Then, construct a K-map of the Three Output Variables with
Boolean Expression for each output. This systematic approach will guide us towards an effective
circuit design.
Transcribed Image Text:a circuit that has two 2-bit unsigned integers X=x1x0 and Y=y1y0 as input. The circuit provides two output functions. The first function, a single bit, is called CLOSE. CLOSE is to be one if |X - Y ≤1, and 0 otherwise. The second function is the 2-bit difference D=d1d0 that equals X - Y if X>Y, and 00 if X<Y. An example could be... If x = x1x0 = 10 and Y= y1y0 = 11, then X = 2 and Y = 3. Therefore CLOSE = 1, because | X - Y| = | 2-3 =-1 |=1. The difference D = 00 because X Now, let's apply our logical thinking to this circuit design. Start by creating a truth table with four input and three output variables. Then, construct a K-map of the Three Output Variables with Boolean Expression for each output. This systematic approach will guide us towards an effective circuit design.
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