Question

Given the function F(x,y) = y'+(x+y) :

a) Make a truth table for F. [4 marks]

b) Express F as a sum of products. [3 marks]

c) Simplify F, either algebraically or by an explanation based upon the truth table. [3 marks]

Answer 1

a)

x	y	y' + (x +y)
0	0	1
0	1	1
1	0	1
1	1	1

b)

It can be written in SOP as :

x'y' + x'y + xy' + xy

c)

F(x,y) = y'+(x+y)

We can further write as

x + (y'+y)

But we know

y'+y = 1

So we can write

x + 1 = 1

So F(x,y) = 1