a.

R+S

89.

To simplify a four-variable expression,

using

b.

B+AD+ADF

the Veitch-diagram

method, the

expression must be in minterm form (all

parentheses

(Solution on

removed and all vincula broken).

To

simplify

page 1-68.)

the expression (AB+AC)D+D+C+A+ABCD, first

convert to minterm form, as shown below.

(AB+AC)D + D + C + A + ABCD

Distributive De Morgan's theorem

ABD + ACD + DCA + ABCD

Double

negative

ABD + ACD + DCA + ABCD

To simplify a four-variable expression,

using the Veitch-diagram method, the

expression must be in

___________________________

___________________.

minterm form

90.

TEST FRAME

After converting the expression to minterm

form, the next step is to draw a Veitch

diagram.

For the expression

ABD+ACD+DCA+ABCD, there are four variables;

therefore, a 16-square Veitch diagram (24 =

16) is required.

The expression is plotted

as follows:

Plot only one term at a time until all terms

of the expression have been plotted:

ABD+ACD+DCA+ABCD.

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