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Design a logic circuit to convert a single digit BCD number to the number modulo six as follows (Do not detect illegal input):

- Write the truth table for all bits. Label the input bits I
_{1}, I_{2}, .... with I_{1}as the least significant bit. Label the output bits R_{1}, R_{2}.... with R_{1}as the least significant bit. Use 1 to signify truth. - Draw one circuit for each output bit using,
, two two-input AND gates, one two-input OR gate and two NOT gates.*altogether*

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