Does your circuit contain hazards if so indicate the

Question

A binary-to-seven-segment decoder takes 4 bits of input and produces seven outputs, one for each "segment" in a standard display:

Given the appropriate binary input, this display produces outputs that light up the display in the following manner

We are interested in the circuit that produces the signal for the segment numbered 3 (a 1 turns a segment on; a 0 turns it off):

A. Construct a Karnaugh map for segment 3.

B. Write a minimal sum-of-products expression for segment 3 in terrns of the inputs a₀, a₁, a₂, and a₃.

C. Draw a circuit that implements this expression using AND and OR gates and inverters.

D. Does your circuit contain hazards? If so, indicate the transitions on which these hazards occur on the Karnaugh map of part A.