Math Discrete

Math.xlsx

Boolean If-Then

Finish filling in this table using the recursive "If…Then…" method demonstrated in PA1.3
	p	q	- p	- q	p - q	p q	p XOR q
	1	1	0	0
	1	0	0	1
	0	1	1	0
	0	0	1	1
			This is the only worksheet on which you will be using the "If…Then…" method; use the quicker method discussed in the PA for the remaining worksheets

This worksheet deals with the two de Morgan's Laws; solve for each as instructed ¯

x + y

START HERE

THEN FINISH HERE

This worksheet deals with the two Distributive Laws; solve for each as instructed ¯

Type in values below ¯¯¯

x + yz

x + y

x + z

(x + y)(x + z)

y + z

x(y + z)

xy + xz

Calculate these in Excel

Remember this function from HW1.3?

Let's do it again, retooled for Boolean space . . .

You may type in the appropriate 1, 0 values as needed ¯¯

- x

- y

f = - x XOR - y

g = w - x

h = w z

j = g h

k = f j

How about we try a 5-variable problem?

START HERE ®b

MUST BE CALCULATED IN EXCEL

¯ ¯ ¯

Calculate in Excel how many binary sequences we will be starting with®i

¬ Use Excel is calculate this value; you are permitted to type in the appropriate values to do so

You may type in the appropriate values as needed ¯¯

CAREFUL!!

¯ ¯ ¯

p = vwxyz

q = v + w + x + y + z

p - q

-x

y3 - x

w(p - q)(y3 - x)