Implement the following Boolean expression with a 3-8 decoder and an OR gate. F(A,B,C)=AB+B\CList the decoder outputs (i.e., 0-7) used in your implementation in the provided answer box. Use numbers only, listed in increasing order, separated by commas and no spaces (e.g. 2,5,7).

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Question restatement: The task asks to implement the Boolean expression F(A,B,C) = AB + B' C using a 3-to-8 decoder and an OR gate, and to list the decoder outputs (minterms) used in the implementation in increasing order as numbers with no spaces (e.g., 2,5,7).

Since there are no provided answer options to evaluate, we cannot compare multiple choices. Instead, we can reason through which minterms of a 3-variable function correspond to the given expression AB + B' C.

Step-by-step analysis of the function:
- The term AB is true when A = 1 and B = 1, regardless of C. With the standard minterm ordering ABC = 000, 001, 010, 011, 100, 101, 110, 111, the combinations where AB = 11 are: ABC = 110 and 111, corresponding to minterms 6 and 7.
- The term B' C is true when B = 0 and C = 1, regardless of A. This yields two minterms: A = 0, B = 0, C = 1 -> ABC = 001, minterm 1; and A = 1, B = 0, C = 1 -> ABC = 101, minterm 5.
- The overall function F is the OR of these two conditions, so we take the union of minterms where either AB is true or B' C is true. This gives minterms {1, 5, 6, 7}.

Therefore, the decoder outputs that need to be used are the minterm indices 1, 5, 6, and 7, listed in increasing order and separated by commas: 1,5,6,7.

If you had answer options to compare, you would check which option list corresponds exactly to 1,5,6,7 and evaluate that option against this derived minterm set. In this case, the derived set matches the provided final answer set consisting of those four minterms.

ELEC2141-Digital Circuit Design - 2025 T1

Implement the following Boolean expression with a 3-8 decoder and an OR gate. F(A,B,C)=AB+B\CList the decoder outputs (i.e., 0-7) used in your implementation in the provided answer box. Use numbers only, listed in increasing order, separated by commas and no spaces (e.g. 2,5,7).

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