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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

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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### 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**.
Transcribed Image Text:### 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.
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? \[ \begin{array}{cccccc} i3 & i2 & i1 & i0 & s1 & s0 & d \\ 1 & 1 & 0 & 1 & 0 & 1 & ? \\ \end{array} \] 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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