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AC B 00 -Y 10 A- B-

AC B 00 -Y 10 A- B-

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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What is the function of the following circuit? Give your answer in minimized sum-of-products (SOP) form. (see attached).

 

Please explain how the truth tables were built

This diagram illustrates a digital logic circuit involving a multiplexer, an AND gate, and a NOT gate. Here's a detailed explanation: 1. **Multiplexer (MUX)**: - The MUX has four data inputs labeled from `00` to `11`. - It has two selector inputs marked `S1:0`. - The output of the MUX is labeled `Y`. - A switch labeled `AC` affects the input `S2`, hinting at an additional control or selection function. 2. **Inputs**: - Input `B` is connected directly to the data input `00` of the MUX. - Input `C` passes through a NOT gate (inverter), which means that the input is logically negated before connecting to data input `10` of the MUX. - Inputs `A` and `B` are connected to an AND gate. The output of this AND gate connects to data input `11` of the MUX. 3. **Logic Gates**: - The **AND Gate**: It takes two inputs, `A` and `B`. Its output is high only when both `A` and `B` are high. - The **NOT Gate**: It takes input `C`. Its output is the inverse of `C`, meaning it outputs high when `C` is low and vice versa. In summary, this setup uses a multiplexer to route one of several input signals to the output `Y`, based on the values of the selection inputs and the states of the logic gates.
Transcribed Image Text:This diagram illustrates a digital logic circuit involving a multiplexer, an AND gate, and a NOT gate. Here's a detailed explanation: 1. **Multiplexer (MUX)**: - The MUX has four data inputs labeled from `00` to `11`. - It has two selector inputs marked `S1:0`. - The output of the MUX is labeled `Y`. - A switch labeled `AC` affects the input `S2`, hinting at an additional control or selection function. 2. **Inputs**: - Input `B` is connected directly to the data input `00` of the MUX. - Input `C` passes through a NOT gate (inverter), which means that the input is logically negated before connecting to data input `10` of the MUX. - Inputs `A` and `B` are connected to an AND gate. The output of this AND gate connects to data input `11` of the MUX. 3. **Logic Gates**: - The **AND Gate**: It takes two inputs, `A` and `B`. Its output is high only when both `A` and `B` are high. - The **NOT Gate**: It takes input `C`. Its output is the inverse of `C`, meaning it outputs high when `C` is low and vice versa. In summary, this setup uses a multiplexer to route one of several input signals to the output `Y`, based on the values of the selection inputs and the states of the logic gates.
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