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f-alpha.net » Electronics » Digital Electronics » Digital Comparator » Let's go... » Experiment 5 - 2-bit Magnitude Comparator

Experiment 5 - The 2-bit Magnitude Comparator

From the truth table you realize immediately, that a 2-bit magnitude comparator is much more demanding.

x1 x0 y1 y0 x<y x=y x>y
0 0 0 0 0 1 0
0 0 0 1 1 0 0
0 0 1 0 1 0 0
0 0 1 1 1 0 0
0 1 0 0 0 0 1
0 1 0 1 0 1 0
0 1 1 1 1 0 0
1 0 0 0 0 0 1
1 0 0 1 0 0 1
1 0 1 0 0 1 0
1 0 1 1 1 0 0
1 1 0 0 0 0 1
1 1 0 1 0 0 1
1 1 1 0 0 0 1
1 1 1 1 0 1 0

Truth table of a 2-bit magnitude comparator.

Although you can still simplify the truth table, one possible circuit still looks like this...

Circuit diagram of a 2-bit magnitude comparator.

This is not a circuit that you can quickly build up on your breadboard. With each further digit, the circuit becomes more complicated.

Therefore, it is time to use the C-MOS IC 4063, with a pre-programmed 4-bit magnitude comparator...

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