design the 8 input Multiplexer

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
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Help me design the 8 input Multiplexer
Exp #7.2 * Design with MUX
Normally, a multiplexer or "MUX" is used as a data-selector; its output is selected from among one or more
sets of data inputs. However, MUX can also implement arbitrary boolean functions. They are extensively
used for this purpose in programmable chips like FPGA's (field-programmable gate arrays).
|16
VCC
4
DO
74LS151
3
D1
/Z
6.
The 74LS151 is an 8x1 MUX with 8 data inputs
2
D2
DO - D7, three select inputs s2 -s0 (pins 9,10,11).
1
D3
8-Input
Multiplexer
and one output z (plus its complement). It also
15
D4
has an active-low enable input /E which must be
14
D5
connected to the ground.
13
D6
12
D7
11
SO
10
S1
9
S2
7
/E
GND
8.
Its data input values, 1's and O's, are taken from the output column of a function's truth-table. All data
inputs equal to 1 are to be connected to power (5V); otherwise to ground. To find power and ground
symbols for your ExpressSCH drawing, click on Component Manager, and open Library Symbols.
For a function F (X, Y, Z), connect x, Y, Z to s2, s1, so. Each value of xYz (000...111) selects a
data input that is sent to output z. In a sense, the MUX is like the physical counterpart of a truth-table.
The value of xYz corresponds to a row on the left-hand side of a truth-table, and the right-hand side of that
row is the selected value of F. So, in this case, a MUX acts like a Look-Up-Table. To look up the value of F
for a given select combination xYz, you apply that combination to the MUX select inputs, and the answer
is supplied at output z. The term Look-Up-Table is usually shortened to "LUT" in the material dealing with
FPGA's.
Transcribed Image Text:Exp #7.2 * Design with MUX Normally, a multiplexer or "MUX" is used as a data-selector; its output is selected from among one or more sets of data inputs. However, MUX can also implement arbitrary boolean functions. They are extensively used for this purpose in programmable chips like FPGA's (field-programmable gate arrays). |16 VCC 4 DO 74LS151 3 D1 /Z 6. The 74LS151 is an 8x1 MUX with 8 data inputs 2 D2 DO - D7, three select inputs s2 -s0 (pins 9,10,11). 1 D3 8-Input Multiplexer and one output z (plus its complement). It also 15 D4 has an active-low enable input /E which must be 14 D5 connected to the ground. 13 D6 12 D7 11 SO 10 S1 9 S2 7 /E GND 8. Its data input values, 1's and O's, are taken from the output column of a function's truth-table. All data inputs equal to 1 are to be connected to power (5V); otherwise to ground. To find power and ground symbols for your ExpressSCH drawing, click on Component Manager, and open Library Symbols. For a function F (X, Y, Z), connect x, Y, Z to s2, s1, so. Each value of xYz (000...111) selects a data input that is sent to output z. In a sense, the MUX is like the physical counterpart of a truth-table. The value of xYz corresponds to a row on the left-hand side of a truth-table, and the right-hand side of that row is the selected value of F. So, in this case, a MUX acts like a Look-Up-Table. To look up the value of F for a given select combination xYz, you apply that combination to the MUX select inputs, and the answer is supplied at output z. The term Look-Up-Table is usually shortened to "LUT" in the material dealing with FPGA's.
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