2. Determine the minimized sum-of-products logic equations for the three outputs of a logic circuit that takes a 4-bit binary number between 1 and 9 inclusive as input and selects exactly one of its three outputs corresponding to the remainder obtained upon dividing the input number by 3. (For example, if the three outputs of the circuit are Ro, R1, and R2, then Ro = 1 if and only if dividing the input number by 3 leaves a remainder of 0, R, = 1 if and only if dividing the input number by 3 leaves a remainder of 1, and R2=1 if and only if dividing the input number by 3 leaves a remainder of 2.)

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2. Determine the minimized sum-of-products logic equations for the three outputs of a logic circuit
that takes a 4-bit binary number between 1 and 9 inclusive as input and selects exactly one of its
three outputs corresponding to the remainder obtained upon dividing the input number by 3. (For
example, if the three outputs of the circuit are Ro, R1, and R2, then Ro = 1 if and only if dividing the
input number by 3 leaves a remainder of 0, R, = 1 if and only if dividing the input number by 3 leaves
a remainder of 1, and R2=1 if and only if dividing the input number by 3 leaves a remainder of 2.)
Transcribed Image Text:2. Determine the minimized sum-of-products logic equations for the three outputs of a logic circuit that takes a 4-bit binary number between 1 and 9 inclusive as input and selects exactly one of its three outputs corresponding to the remainder obtained upon dividing the input number by 3. (For example, if the three outputs of the circuit are Ro, R1, and R2, then Ro = 1 if and only if dividing the input number by 3 leaves a remainder of 0, R, = 1 if and only if dividing the input number by 3 leaves a remainder of 1, and R2=1 if and only if dividing the input number by 3 leaves a remainder of 2.)
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