CMPF134 Fundamentals of Data and Information

Tutorial 1

1. What weight does the digit 7 have in each of the following decimal number system?a. 1370b. 6725c. 7051d. 58.72

2. Express each of the following decimal numbers as a sum of products obtained by multiplying each digit by its appropriate weight.

a. 51b. 137c. 1492d. 106.58

3. Convert the binary numbers to decimal.a. 11011012 b. 0.10112

c. 10111101.0112 d. 1110001.00012

4. Convert the following decimal numbers to binary.a. 1210

b. 8210

c. 4510

d. 45.510

e. 21.37510

5. Convert the following binary numbers to hexadecimal.a. 11102

b. 101112

c. 101001102

d. 110010100101101112

e. 1111110001011010012

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6. Determine the binary numbers for the following hexadecimal numbers.a. 10A416

b. CF8E16

c. 974216

d. 350A16

7. Convert the following hexadecimal numbers to decimal.a. E516

b. B2F816

c. 60A16

d. 5C216

e. 70016

8. Convert the following decimal numbers to hexadecimal.a. 65010 b. 810

c. 28410

d. 289010

e. 401910

9. Convert the following octal numbers to decimal number systems.a. 23748

b. 738

c. 1258

d. 5038

10. Convert each octal numbers to binary.a. 138

b. 258

c. 1408

d. 75268

11. Convert each of the following binary numbers to octal.a. 1101012

b. 1011110012

c. 1001100110102

d. 110100001002

12. Convert the following decimal numbers to octal.a. 35910

b. 9810

c. 16310

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