PSIT-Pranveer Singh Institute of Technology
Kanpur-Delhi National Highway (NH-19), Bhauti, Kanpur-209305 (U.P.), India
Fundamentals of Electronics Engineering (BEC-201)
Practice Sheet-1
B.Tech.-1st year Semester-2nd Session 2024-25
1. (a) Subtract (14)10 from (46)10 using 1’s complement arithmetic.
(b) Subtract (14)10 from (46)10 using 2’s complement arithmetic.
(c) Subtract (46)10 from (14)10 using 1’s complement arithmetic.
(d) Subtract (46)10 from (14)10 using 2’s complement arithmetic.
2. Problems based on number base conversion: Find the value of ‘x’ if
(a) (1462.46)8 = (x)10
(b) (1248.56)10 = (x)8
(c) (A80F)16 = (x)10
(d) (110110111.10011)2 = (x)16
(e) (AE47.AB)16 = (x)8
3. Minimize the following logic functions with the help of the properties of Boolean algebra
(a) A C . A C . A B C D ,
(b) AB C B A C ABD BD ,
(c) ABCD ABCD ABCD ,
(d) x y z xy xz .
4. Find Boolean functions y1 and y2 from the following logic diagram.
5. Find the logic function at the output of the following diagram.
DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGINEERING
PSIT-Pranveer Singh Institute of Technology
Kanpur-Delhi National Highway (NH-19), Bhauti, Kanpur-209305 (U.P.), India
6. Find the complement of the following Boolean functions.
(a) A BC A B C ,
(b) ABC A B C .
7. Convert the following logic functions from SOP form to standard/canonical SOP form.
(a) AB ABC ABC BC ,
(b) AB AC AD ABC ABC .
8. Convert the following logic functions from POS form to standard/canonical POS form.
(a) A B A B C ,
(b) A B A B C B C .
9. Minimize the following Boolean expression using K-map
(a) F AC AB ABC ,
(b) F ( w, x, y, z ) m(0,1, 4, 6,8,9,11) d (2, 7,13) ,
(c) f ( A, B, C , D) M (0,1, 2, 4,5, 6,9,11,12,13,14,15) ,
(d) G ABCD ABCD ABCD ABCD ABCD
and the don’t care condition is d = (0,1,5,8) .
10. (a) Implement XOR gate with the help of NAND gates only.
11. Write down truth table of 3 input XOR and XNOR gate.
Simplify the same and realize it with basic gates.
12. State Difference between combinational and sequential circuits.
DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGINEERING
