Sheet (1)
[Revision]
(1) Express the following numbers in decimal:
(a) (10110)2 (b) (l6)16 (c) (26)8 (d) (FAFA)16
(2) Find the complement of the following expressions:
(a) x.y' + x'y
(b) (AB' + C)D' + E
(c) (x + y' + z)(x' + z')(x + y)
(3) Draw the logic diagrams for the following Boolean expressions:
(a) Y = A'B' + B(A + C)
(b) Y = (A + B)(C ' + D)
(4) Given the following Boolean function:
F = x.y + x'. y' + y'.z
implement it with AND, OR and inverter gates.
(5) Derive the truth table of the following Boolean Functions:
(a) F(x,y,z) = x.y + x.y' + y '.z
(b) F(A,B,C,D) = A.B + C.D+ A.B'.C'
(c) F(A,B,C,D) = A + C.D'+ B.C.D'
(6) Given the following truth table, Express the output Z as Sum of Minterms and
Product of Maxterms.
Inputs
Output
A
B
C
Z
0
0
0
1
0
0
1
0
0
1
0
0
0
1
1
0
1
0
0
1
1
0
1
1
1
1
0
0
1
1
1
1
