Page 127 - Bebop to The Boolean Boogie An Unconventional Guide to Electronics Fundamentals, Components, and Processes

108 Chapter Eleven

dO
2:l MUX

Y

dl OR
select
AND

y= [select & do) I (select& dl)
?
?
Figure 1 1-3. A 2:l multiplexer

An identical result could have been achieved using a full truth table
combined with a Karnaugh Map minimization (Figure 1 1-4).’

do, dl
Select\ 00 01 11 10
5elect dO dl
0 0 0
0 0
0 1 1
0 1 ~ 0
1 0
1 0
1 1
1 1 1
y= (select & do) I (select &

Figure 11-4. Deriving the 2:l multiplexer equation
by means of a Karnaugh Map

1 Karnaugh Map minimization techniques were introduced in Chapter 10.