Indian Institute of Technology Mandi
MA 523: Numerical Analysis
Assignment 1 (no assessment)
Questions
1. Convert the following numbers to Binary equivalents:
a. 101.42510
b. 78.488
c. 78.4810
d. 15C24D16
2. Convert the following numbers to Decimal equivalents:
a. 111011.0112
b. 7898.0568
c. B4BAD16
3. Convert the following numbers to Octal equivalents:
a. 111011.0112
b. 7898.05610
c. B4BAD16
4. Convert the following numbers to Hexadecimal equivalents:
a. 111011.0112
b. 756.0510
c. 100.018
5. Describe fixed-point representation with example.
6. Describe floating-point representation with example.
7. Write the floating point representation of numbers in question 1, 2, 3 and 4.
8. Add the following:
a. 0.258E − 3 + 0.004E3
b. −0.0025E2 + 0.000001E4
c. 0.58 × 10−4 + 0.52 × 10−4
d. 0.111101 × 23 + 0.00110 × 22
9. Substract the following:
a. 0.258E − 3 − 0.004E3
b. −0.0025E2 − 0.000001E4
c. 0.58 × 10−4 − 0.52 × 10−4
d. 0.111101 × 23 − 0.00110 × 22
10. Multiply the following:
1
a. 0.258E − 3 × 0.004E3
b. −0.0025E2 × 0.000001E4
c. 0.58 × 10−4 × 0.52 × 10−4
d. 0.111101 × 103 × 0.00110 × 102
11. Divide the following:
a. 0.258E − 3 ÷ 0.004E3
b. −0.0025E2 ÷ 0.000001E4
c. 0.58 × 10−4 ÷ 0.52 × 10−4
d. 0.111101 × 103 ÷ 0.00110 × 102
12. How many Significant figures are there in each term?
a. 34.6209
b. 0.003048
c. 5010.0
d. 4032.090
e. 012345.00
f. 96321000
g. 1.40 × 103
h. 0.0020600
13. Solve the following equations using the correct number of significant figures:
a. 34.683 + 58.930 + 68.35112
b. 45001 − 56.355 − 78.44
c. 0.003 + 3.5198 + 0.0118
d. 36.01 − 0.4 − 15
14. Solve the following equations using the correct number of significant figures:
a. 98.1 × 0.03
b. 57 × 7.368
c. 8.578 ÷ 4.33821
d. 6.90 ÷ 2.8952
15. Round-off the 123.456 correct upto 5, 4, 3, 2, 1 significant figures.
16. Round-off the following numbers correct to five significant figures.
a. 0002458
b. 456.047
c. 98755.0001
d. 7500.0000
e. 4523.9525
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