. Derive minimal sum-of-products expressions for the outputs d, e, f, and g of the 7-segment display in Figure 4.21.

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3. Derive minimal sum-of-products expressions for the outputs \( d, e, f, \) and \( g \) of the 7-segment display in Figure 4.21.
Transcribed Image Text:3. Derive minimal sum-of-products expressions for the outputs \( d, e, f, \) and \( g \) of the 7-segment display in Figure 4.21.
### Code Conversion and 7-Segment Display

This diagram illustrates the functioning of a code converter and its application in a 7-segment display, which is commonly used to display numerical digits in digital devices.

#### Diagram Descriptions

**(a) Code Converter:**
- The code converter takes binary inputs, denoted as \( w_3, w_2, w_1, \) and \( w_0 \), and produces outputs \( a, b, c, d, e, f, \) and \( g \) which are used to control the segments of the display.

**(b) 7-Segment Display:**
- The 7-segment display consists of seven segments labeled \( a \) through \( g \). These segments are activated in different combinations to display numeric digits from 0 to 9.

#### Truth Table

Below the diagrams is a truth table that depicts the binary inputs and their corresponding outputs, which control the segments:

| \( w_3 \) | \( w_2 \) | \( w_1 \) | \( w_0 \) | \( a \) | \( b \) | \( c \) | \( d \) | \( e \) | \( f \) | \( g \) |
|-----------|-----------|-----------|-----------|---------|---------|---------|---------|---------|---------|---------|
|     0     |     0     |     0     |     0     |   1     |   1     |   1     |   1     |   1     |   1     |   0     |
|     0     |     0     |     0     |     1     |   0     |   1     |   1     |   0     |   0     |   0     |   0     |
|     0     |     0     |     1     |     0     |   1     |   1     |   0     |   1     |   1     |   0     |   1     |
|     0     |     0     |     1     |     1     |   1     |   1     |   1     |   1     |   0     |
Transcribed Image Text:### Code Conversion and 7-Segment Display This diagram illustrates the functioning of a code converter and its application in a 7-segment display, which is commonly used to display numerical digits in digital devices. #### Diagram Descriptions **(a) Code Converter:** - The code converter takes binary inputs, denoted as \( w_3, w_2, w_1, \) and \( w_0 \), and produces outputs \( a, b, c, d, e, f, \) and \( g \) which are used to control the segments of the display. **(b) 7-Segment Display:** - The 7-segment display consists of seven segments labeled \( a \) through \( g \). These segments are activated in different combinations to display numeric digits from 0 to 9. #### Truth Table Below the diagrams is a truth table that depicts the binary inputs and their corresponding outputs, which control the segments: | \( w_3 \) | \( w_2 \) | \( w_1 \) | \( w_0 \) | \( a \) | \( b \) | \( c \) | \( d \) | \( e \) | \( f \) | \( g \) | |-----------|-----------|-----------|-----------|---------|---------|---------|---------|---------|---------|---------| | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
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