A combinational circuit has four inputs (A, B, C, D) and three outputs (X, Y, Z). XYZ represents a binary number whose value equals the number of 1's at the input. For example, if ABCD = 1011, XYZ = 011.

Find the minterm expansions for X, Y, and Z.

X =

Y =

Z =

Find the maxterm expansions for Y and Z.

Y =

Z =

A combinational circuit has four inputs (A, B, C, D) and four outputs (W, X, Y, Z). WXYZ represents an excess-3 coded number whose value equals the number of 1's at the input. For example, if ABCD = 1011, XYZ = 0110.

Find the minterm expansions for X, Y, and Z.

X =

Y =

Z =

Find the maxterm expansions for Y and Z.

Y =

Z =

B + C + D)(A' + B' + C + D')(A' + B' + C' + D)