### 4x1 Multiplexer Truth Table AnalysisSuppose you have a 4x1 multiplexer (MUX) whose inputs are shown below in a single row of a truth table. The inputs $ i_0 - i_3 $ are data inputs and $ s_0 $ and $ s_1 $ are selector bits. What Boolean value will the data output, $ d $, be for this row?| i3 | i2 | i1 | i0 | s1 | s0 | d ||----|----|----|----|----|----|---|| 1 | 1 | 0 | 1 | 0 | 0 | ? |#### Explanation:- **Data Inputs (i0 - i3):** These are the inputs from which the multiplexer selects one to be the output. - **Selector Bits (s0, s1):** These binary bits determine which input is selected: - $ s_1s_0 = 00 $: Selects $ i_0 $ - $ s_1s_0 = 01 $: Selects $ i_1 $ - $ s_1s_0 = 10 $: Selects $ i_2 $ - $ s_1s_0 = 11 $: Selects $ i_3 $In the provided table, the selector bits $ s_1 = 0 $ and $ s_0 = 0 $, therefore, the selected input is $ i_0 $.- **Output (d):** Since $ i_0 = 1 $, the output $ d $ for this row is also 1.#### Multiple Choice Options:- ○ 0- ○ 1- ○ 2- ○ 3The correct option is **1**. 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?\[\begin{array}{cccccc}i3 & i2 & i1 & i0 & s1 & s0 & d \\1 & 1 & 0 & 1 & 0 & 1 & ? \\\end{array}\]Options:- ○ 0- ○ 1- ○ 2- ○ 3### Explanation:The table represents a single row in a truth table for a 4x1 multiplexer. The selector bits s1 and s0 determine which of the inputs (i0, i1, i2, i3) is routed to the output d.- The selector bits s1 and s0 are set to '01', which means the selected input is i1.- The value of i1 is '0'.Thus, the Boolean value of the output d for this row is 0.

The question has been answered in step2

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 1101 0 2 3

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 1101 0 2 3

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Question

### 4x1 Multiplexer Truth Table Analysis

Suppose you have a 4x1 multiplexer (MUX) whose inputs are shown below in a single row of a truth table. The inputs $ i_0 - i_3 $ are data inputs and $ s_0 $ and $ s_1 $ are selector bits. What Boolean value will the data output, $ d $, be for this row?

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

#### Explanation:

- **Data Inputs (i0 - i3):** These are the inputs from which the multiplexer selects one to be the output.
- **Selector Bits (s0, s1):** These binary bits determine which input is selected:
- $ s_1s_0 = 00 $: Selects $ i_0 $
- $ s_1s_0 = 01 $: Selects $ i_1 $
- $ s_1s_0 = 10 $: Selects $ i_2 $
- $ s_1s_0 = 11 $: Selects $ i_3 $

In the provided table, the selector bits $ s_1 = 0 $ and $ s_0 = 0 $, therefore, the selected input is $ i_0 $.

- **Output (d):** Since $ i_0 = 1 $, the output $ d $ for this row is also 1.

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

The correct option is **1**.

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?

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

Options:
- ○ 0
- ○ 1
- ○ 2
- ○ 3

### Explanation:

The table represents a single row in a truth table for a 4x1 multiplexer. The selector bits s1 and s0 determine which of the inputs (i0, i1, i2, i3) is routed to the output d.

- The selector bits s1 and s0 are set to '01', which means the selected input is i1.
- The value of i1 is '0'.

Thus, the Boolean value of the output d for this row is 0.

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