1. Convert the following binary numbers to decimal : (a) 11010.012 (b) 101011.112

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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EXERCISE 1
1. Convert the following binary numbers to decimal :
(a) 11010.012
(b) 101011.112
2. Convert the following numbers from decimal to binary:
(a) 4110
(b) 93.1875 10
(c) 3.210 (5 digits after the point)
3. Convert the following octal and hexadecimal numbers to decimal:
(a) 715g
(c) C6E16
(b) 63.44 8
(d) 2FA.8 16
4. Convert the following decimal numbers to hexadecimal
(a) 3842
(b) 6962.9375
5. Convert the following octal and hexadecimal numbers to binary:
(a) 2478
(c) 93B16
(b) 31.63 8
(d) AD.1C 16
6. Convert the following binary numbers to octal and hexadecimal:
(a) 110102
(b) 101011.1001112
7. Perform the following calculations in binary arithmetic :
a. 11011012+ 10111102
b. 10011012+ 1010112
c. 11100112- 1011012
d. 11000102- 10101112
e. 100112 X 11012
f. 110102 X 101012
g. 1101102 10012
h. 101102 +112
Transcribed Image Text:EXERCISE 1 1. Convert the following binary numbers to decimal : (a) 11010.012 (b) 101011.112 2. Convert the following numbers from decimal to binary: (a) 4110 (b) 93.1875 10 (c) 3.210 (5 digits after the point) 3. Convert the following octal and hexadecimal numbers to decimal: (a) 715g (c) C6E16 (b) 63.44 8 (d) 2FA.8 16 4. Convert the following decimal numbers to hexadecimal (a) 3842 (b) 6962.9375 5. Convert the following octal and hexadecimal numbers to binary: (a) 2478 (c) 93B16 (b) 31.63 8 (d) AD.1C 16 6. Convert the following binary numbers to octal and hexadecimal: (a) 110102 (b) 101011.1001112 7. Perform the following calculations in binary arithmetic : a. 11011012+ 10111102 b. 10011012+ 1010112 c. 11100112- 1011012 d. 11000102- 10101112 e. 100112 X 11012 f. 110102 X 101012 g. 1101102 10012 h. 101102 +112
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