You need to use a magnitude comparator for a circuit you are building. You would like to compare two 4-bit signed numbers, X = ABCD and Y = EFGH, whose possible values range from -310 to 310. However, it seems that all magnitude comparators are out of stock. Suppose you decide to recreate the behavior of a magnitude comparator using your 4-bit full adder as a subtractor and some logic gates on hand. Use a 4-bit adder and connect additional logic gates to the input and the 4-bit output Sum (S3 S₂ S₁ So) to create the logic circuit for the following outputs: • O₁, which should be 1 if X Y or X = Y,0 otherwise ● 1. Create the truth table for the outputs О₁ and O₂ using the 4-bit output Sum (S3 S2 S₁ So) as inputs

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Author:James Kurose, Keith Ross
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You need to use a magnitude comparator for a circuit you are building. You would like to compare two 4-bit signed numbers,
X = ABCD and Y = EFGH, whose possible values range from –310 to 310. However, it seems that all magnitude
comparators are out of stock. Suppose you decide to recreate the behavior of a magnitude comparator using your 4-bit full
adder as a subtractor and some logic gates on hand.
Use a 4-bit adder and connect additional logic gates to the input and the 4-bit output Sum (S3 S2S, So) to create the logic
circuit for the following outputs:
01, which should be 1 if X < Y or X =Y,0 otherwise
O2, which should be 1 if X > Y or X =Y,0 otherwise
1. Create the truth table for the outputs 01 and O2 using the 4-bit output Sum (S3 S2S1 So) as
inputs
Transcribed Image Text:You need to use a magnitude comparator for a circuit you are building. You would like to compare two 4-bit signed numbers, X = ABCD and Y = EFGH, whose possible values range from –310 to 310. However, it seems that all magnitude comparators are out of stock. Suppose you decide to recreate the behavior of a magnitude comparator using your 4-bit full adder as a subtractor and some logic gates on hand. Use a 4-bit adder and connect additional logic gates to the input and the 4-bit output Sum (S3 S2S, So) to create the logic circuit for the following outputs: 01, which should be 1 if X < Y or X =Y,0 otherwise O2, which should be 1 if X > Y or X =Y,0 otherwise 1. Create the truth table for the outputs 01 and O2 using the 4-bit output Sum (S3 S2S1 So) as inputs
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