Question

Simplify to a minimum SOP each stating the key properties used

1) f=xyz’+xyz

2) g=x’y’z’+x’y’z+x’yz+xy’z+xyz

3) f=abc’+ab’c+a’bc+abc

4) f=(a+b’+c)(a+b’+c’)(a’+b+c)(a’+b’+c)

5) g=(x’+y’+z’)(x’+y+z’)(x’+y+z)

Find the compliment of 6, 7, 8

6) F=x’yz’+xy’z’+xyz

7) G=(w+x’+y)(w’+x+z)(w+x+y+z)

8) H=(a+b’c)d’+(a’+c’)(c+d)

For the table

a	b	c	f
0	0	0	0
0	0	1	1
0	1	0	0
0	1	1	1
1	0	0	1
1	0	1	0
1	1	0	1
1	1	1	1

1. write the canonical sum

2. Write the canonical product

3. Find the minimum SOP stating properties used Find the minimum POS stating properties used

4. Implement minimum SOP above(11) in a gate level schematic Implement minimum POS above(12) in a gate level schematic

Answer 1