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Name: _____________________________________ HW8: Boolean expression formats (CS220-03) For each of the following, find the equivalent (a) sum of products minterm form expression and (b) sum of products form expression. 1) 2) 3) Z(A,B,C) is a function that takes it's 3-bit input and produces a 4th bit (the output Z), making a 4-bit number (ABCZ) that is either a palindrome (same pattern backward and forward) or has the second 2 bits CZ repeat the pattern AB. If neither can be done, Z is a 0. Name: _____________________________________ 4) W(A,B,C,D) = B C )A + ( ⊕ AD For each of the following, draw the equivalent circuit with an input bus and rainbow-style connections. 5) (A, , )Q B C = ∑ m {0, , , }2 6 7 6) (A, , , )K B C D = ∑ m {3, , , 3}5 8 1 Name: _____________________________________ 7) G(A,B,C,D) is a function that produces a 1 for output only if the 4 bit input is an integer multiple of 3 or 4, excluding zero. Name: _____________________________________ 8) Below is the lighting pattern for a 7 segment display to show the 4-bit numbers 0x0 thorough 0xF. Your circuit, V(A,B,C,D), controls the “on-ness” of the bottom-horizontal LED (that’s the LED that turns a 'F' into an 'E')... when it outputs a 1, that LED is turned on, and when it outputs a 0, that LED is off.

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