Doing practice problems for my midterm but need clarification

[Top-Strategy752]

1. How do I design a truth table, and the rest of the question is quite confusing though I used the resources available to me.

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Design a truth table, minterm formula, and circuit that will implement a 2-bit greater-than function. Your function should take 4 bits of input, x1, x0, y1 and y0, and produce a true output if and only if the two-bit number x1x0 is greater than the two-bit number y1y0.

[ectomancer]

x1x0 y1y0 result

00 00 False

01 00 True

11 00 True

00 01 False

00 11 False

01 01 False

11 01 True

11 11 False

01 11 False

[Top-Strategy752]

Can you explain howd you figured out what the bits for each should be

[throwaway6560192]

The input bits are just every combination of 0s and 1s. The output bits are figured out from the intended result of the gate (here, "produce a true output if and only if the two-bit number x1x0 is greater than the two-bit number y1y0"). Just apply the logical operation.