Page 322 - FUNDAMENTALS OF COMPUTER

NPP

322 Fundamentals of Computers NPP

A B 1

B
Borrow

D 1
B 2
C

D = difference
2
= A-B-C 
EXERCISES 1

Simplify the following Boolean Expressions:

1. F = A + A B + A B + A C . B + A B

2. Q = ABC + ABC + AB + A B
3. Y = AB + A B + ABC + A C B + B

4. F = A B. ( A + A B + ABC )

5. Q = ( A + B . AB )
) ( AB +
6. Y = A B C D + ABC D + BC D + A B C + ABCD

7. F = ( A + AB . BA )
) ( B +
8. Y = ( C + C B. ) ( B + . BC. )

) ( X +
9. Z = ( X + XY . Y )
10. F = A B +. AB.

11. Q = AB +. A B.

12. F = AB C +.. AB C+. + A BC +. ABC

13. Y = ( A + BC ) ( A +. B C. ) (A +. B + ) C