Tutorial No: 01

ELECTRONICS ENGINEERING (EEC-201)

Q. 1- What do you mean by base of a number system? What is the base in hexadecimal number system?Q. 2- Determine the binary number represented by the following decimal numbers:-(a) 37 (b) 255 (c) 26.25 (d) 377.899Q. 3- Convert the following binary number into equalant decimal numbers:-(a) (11001)2

(b) (10011101)2

(c) (111010111)2

(d) (1010.1110)2

(e) (10.001)2

(f) (0.110101)2

Q. 4- Convert the hexadecimal number (2CD.CD)16 to binary and decimal number.Q. 5- Convert the following hexadecimal number into decimal:- (i) (A13B)16 (ii) (7CA3)16 (iii) (7FD6)16

Q. 6- Perform the following:-(i) (7894.125) 10 = (?)8

(ii) (5413.237)8 = (?)16

(iii) (BC64)16 = (?)10

Q. 7- Convert the following numbers as indicated:- (i) (1001010)8 = (?)2 = (?)16

(ii) (2CCA)16 = (?)5 = (?)7 = (?)9

(iii) (0.456) 10 = (?)8 = (?)16 = (?)12

(iv) (345)8 = (?)10 = (?)7 Q. 8- Determine the values of base x :- (i) (314)x = (204)10

(ii) (2312)x = (4CA)16

(iii) (1001)8 = (1000000001)x Q. 9- Perform the following addition & subtractions (i) (2341)5 + (4324)5

(ii) (4324)5 - (2341)5

(iii) (87615)9 + (1675)9

(iv) (210)3 - (102)3

(v) (210)3 + (102)3 + (201)3

(vi) (210)7 + (102)7 + (201)7

Q. 10- Explain 1’s complement method of subtracting two binary numbers. Perform the following binary subtraction using 1’s complement method:-(i) (111101)2 - (11101)2

(ii) (101)2 - (100)2

(iii) (1111)2 - (0000)2

(iv) (101010)2 - (10101)2

Q. 11- Explain 2’s complement method of subtracting two binary numbers. Perform the following binary subtraction using 2’s complement method:-(i) (111101)2 - (11101)2

(ii) (101)2 - (100)2

(iii) (1111)2 - (0000)2

(iv) (101010) - (10101)2