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

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question
**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.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Fundamentals of Boolean Algebra and Digital Logics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education