Suppose you have a 4x1 multiplexer (MUX) whose inputs are shown below in a single row of a truth table. The inputs i0 - 13 are data inputs and so and s1 are selector bits. What Boolean value will the data output, d, be for this row? 13 12 11 10 s1 s0 d 0001 1 0? 0 01 O 2 3

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**Multiplexer Example on a Truth Table**

Suppose you have a 4x1 multiplexer (MUX) whose inputs are shown below in a single row of a truth table. The inputs \(i0 - i3\) are data inputs and \(s0\) and \(s1\) are selector bits. What Boolean value will the data output, \(d\), be for this row?

\[
\begin{array}{|c|c|c|c|c|c|c|}
\hline
i3 & i2 & i1 & i0 & s1 & s0 & d \\
\hline
0 & 1 & 1 & 1 & 1 & 1 & ? \\
\hline
\end{array}
\]

### Multiple Choice Options:
- ○ 0
- ○ 1
- ○ 2
- ○ 3

**Explanation:**

- The multiplexer uses the selector bits \(s1\) and \(s0\) to choose which data input (\(i0\) to \(i3\)) is routed to the output \(d\).
- In this example, the selector bits are \(s1 = 1\) and \(s0 = 1\), which corresponds to selecting input \(i3\).
- Therefore, the value of the data output \(d\) will be the value of \(i3\), which is 0 in this case.
Transcribed Image Text:**Multiplexer Example on a Truth Table** Suppose you have a 4x1 multiplexer (MUX) whose inputs are shown below in a single row of a truth table. The inputs \(i0 - i3\) are data inputs and \(s0\) and \(s1\) are selector bits. What Boolean value will the data output, \(d\), be for this row? \[ \begin{array}{|c|c|c|c|c|c|c|} \hline i3 & i2 & i1 & i0 & s1 & s0 & d \\ \hline 0 & 1 & 1 & 1 & 1 & 1 & ? \\ \hline \end{array} \] ### Multiple Choice Options: - ○ 0 - ○ 1 - ○ 2 - ○ 3 **Explanation:** - The multiplexer uses the selector bits \(s1\) and \(s0\) to choose which data input (\(i0\) to \(i3\)) is routed to the output \(d\). - In this example, the selector bits are \(s1 = 1\) and \(s0 = 1\), which corresponds to selecting input \(i3\). - Therefore, the value of the data output \(d\) will be the value of \(i3\), which is 0 in this case.
Suppose you have a 4x1 multiplexer (MUX) whose inputs are shown below in a single row of a truth table. The inputs i0 - i3 are data inputs and s0 and s1 are selector bits. What Boolean value will the data output, d, be for this row?

### Truth Table Row

| i3 | i2 | i1 | i0 | s1 | s0 | d |
|----|----|----|----|----|----|---|
| 0  | 0  | 0  | 1  | 1  | 0  | ? |

### Options

- ○ 0
- ○ 1
- ○ 2
- ○ 3

### Explanation

In this truth table, the data inputs are i0, i1, i2, and i3, with i0 being 1 and the others being 0. The selector bits are s1 and s0, which are 1 and 0, respectively. This means the multiplexer will choose the input corresponding to the binary value of the selector bits, which is 10 in decimal (i2). Since i2 is 0, the Boolean value of the output d will be 0.
Transcribed Image Text:Suppose you have a 4x1 multiplexer (MUX) whose inputs are shown below in a single row of a truth table. The inputs i0 - i3 are data inputs and s0 and s1 are selector bits. What Boolean value will the data output, d, be for this row? ### Truth Table Row | i3 | i2 | i1 | i0 | s1 | s0 | d | |----|----|----|----|----|----|---| | 0 | 0 | 0 | 1 | 1 | 0 | ? | ### Options - ○ 0 - ○ 1 - ○ 2 - ○ 3 ### Explanation In this truth table, the data inputs are i0, i1, i2, and i3, with i0 being 1 and the others being 0. The selector bits are s1 and s0, which are 1 and 0, respectively. This means the multiplexer will choose the input corresponding to the binary value of the selector bits, which is 10 in decimal (i2). Since i2 is 0, the Boolean value of the output d will be 0.
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