Boolean Algebra Truth Table, Product and Sum Expressions

[Fomular]

Given f(x,y,z)=sum(1,2,3,4)
draw truth table
find product of sum exprsn
find max terms
find sum of product

truth table
x y z out
0 0 0 0 (x'+y'+z')
0 0 1 1 x'y'z
0 1 0 1 x'yz'
0 1 1 1 x'yz
1 0 0 1 xy'z'
1 0 1 0 (x+y'+z)
1 1 0 0 (x+y+z')
1 1 1 0 (x+y+z)
sop=x'y'z +x'yz' +x'yz +xy'z'
pos=(x'+y'+z')(x+y'+z)(x+y+z')(x+y+z)

i think this is incorrect and i don't knw how to find the max terms

 

[NascentOxygen]

Given f(x,y,z)=sum(1,2,3,4)
draw truth table
find product of sum exprsn
find max terms
find sum of product

truth table
x y z out
0 0 0 0 (x'+y'+z')
0 0 1 1 x'y'z
0 1 0 1 x'yz'
0 1 1 1 x'yz
1 0 0 1 xy'z'
1 0 1 0 (x+y'+z)
1 1 0 0 (x+y+z')
1 1 1 0 (x+y+z)
sop=x'y'z +x'yz' +x'yz +xy'z'
pos=(x'+y'+z')(x+y'+z)(x+y+z')(x+y+z)

i think this is incorrect and i don't knw how to find the max terms

Hi Fomular! http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

Can you explain how f(x,y,z)=sum(1,2,3,4) leads to your truth table? I'm intrigued and I hope to learn something here.

 

[LCKurtz]

Hi Fomular! http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

Can you explain how f(x,y,z)=sum(1,2,3,4) leads to your truth table? I'm intrigued and I hope to learn something here.

When the binary number xyz evaluates to 1,2,3, or 4, in base ten, output 1 otherwise output zero.