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3. A decoder can be used to implement SOP expressions. a) A 3x8 decoder is shown below with some OR gates. What are the functions F and G? Give your answers in compact minterm form.

3. A decoder can be used to implement SOP expressions. a) A 3x8 decoder is shown below with some OR gates. What are the functions F and G? Give your answers in compact minterm form.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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**ECE 171 HW 4** --- 3. A decoder can be used to implement SOP expressions. a) A 3x8 decoder is shown below with some OR gates. What are the functions F and G? Give your answers in compact minterm form. [Diagram Explanation] - **Inputs**: There are three inputs labeled A, B, and C. - **Decoder**: The diagram shows a 3x8 decoder with eight output lines, labeled from 0 to 7. - **Connections**: - Output lines 0, 1, and 3 are connected to an OR gate that produces output F. - Output lines 2 and 5 are connected to another OR gate that produces output G. *Additional Context*: In a 3x8 decoder, three input lines are decoded into one of eight outputs (0-7). Each output line represents a minterm corresponding to the binary combination of inputs A, B, and C. *Objective*: Determine the logic expressions for the outputs F and G in terms of the inputs (A, B, C). Express the solutions in compact minterm form. ---
Transcribed Image Text:**ECE 171 HW 4** --- 3. A decoder can be used to implement SOP expressions. a) A 3x8 decoder is shown below with some OR gates. What are the functions F and G? Give your answers in compact minterm form. [Diagram Explanation] - **Inputs**: There are three inputs labeled A, B, and C. - **Decoder**: The diagram shows a 3x8 decoder with eight output lines, labeled from 0 to 7. - **Connections**: - Output lines 0, 1, and 3 are connected to an OR gate that produces output F. - Output lines 2 and 5 are connected to another OR gate that produces output G. *Additional Context*: In a 3x8 decoder, three input lines are decoded into one of eight outputs (0-7). Each output line represents a minterm corresponding to the binary combination of inputs A, B, and C. *Objective*: Determine the logic expressions for the outputs F and G in terms of the inputs (A, B, C). Express the solutions in compact minterm form. ---
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