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Student Name: Date: Decimal t o Binary 151 128 128? YE S 23 6432?? NN OO 16 16? YE S 7 8? N O 4 4 ? YE S 3 2 2? YE S 1 1 1? YE S 0 Th is d ecim al n u m b er... 64 32 16 8 151 128 1 2 7 = Eq u als t h is b in ar y n u m b er 2 4 1 0 0 1 0 1 1 6 5 4 3 2 1 2 2 2 2 2 2 1 2 0 C onvert each decimal number int o a binary number. 1. 137 = 11. 200 = 2. 128 = 12. 171= 3. 63 = 13. 150 = 4. 213 = 14. 27 = 5. 49 = 15. 19 = 6. 111= 16. 189 = 7. 24 2 = 17. 222 = 8. 192 = 18. 79 = 9. 89 = 19. 73 = 10. 2= 20. 136 = Computer Maintenance I: Numbering Systems Decimal to Binary Worksheet UNT in partnership with TEA, Copyright © . All rights reserved 8 Student Name: Date: Binary t o Decimal This binary number... 1 1 1 1 1 1 1 1 7 6 5 4 3 2 2 2 2 2 128 + 64 + 32 + 16 + 8 This binary number... 2 + 2 4 1 + 2 2 0 + 2 1 = 255 1 0 0 1 0 1 0 1 7 6 2 2 128 + 0 5 + 2 0 4 + 3 2 2 16 + 0 2 + 2 4 1 + 2 0 E quals this decimal number E quals this decimal number 0 + 2 1 = 14 9 C onvert each binary number int o a decimal number. 1. 110 0 10 0 1 = 9. 0 110 1110 = 2. 0 10 0 0 111 = 10. 0 0 0 10 111 = 3. 10 0 0 0 110 = 11. 111110 0 0 = 4. 0 0 0 10 0 0 1 = 12. 1110 0 0 10 = 5. 10 0 0 1 0 0 0 = 13. 0 0 0 1110 1 = 6. 0 0 111110 = 14. 0 110 1111 = 7. 0 10 10 10 1 = 15. 10 0 10 111 = 8. 10 10 10 10 = 16. 1110 0 10 1 = Computer Maintenance I: Numbering Systems Binary to Decimal Worksheet UNT in partnership with TEA, Copyright © . All rights reserved 6 Student Name: Date: HEXADECIMAL CONVERSIONS INSTRUCTIONS: Convert the following numbers to their appropriate base forms. Record your answers in the spaces provided in the table. BASE 10 BASE 2 BASE 16 243 10101100 AE 110110 131 3F 98 10010001 146 11000011 4D 11110001 172 E2 100100 195 31 1001111 7B 146 5A 11100000 223 Computer Maintenance I: Numbering Systems Hexadecimal Conversions UNT in partnership with TEA, Copyright © . All rights reserved 10 Student Name: Date: In t rodu ct ion t o Bin ary N u m b ers Part 1 Fill in t he rest of t he numbers, in order. Decimal 0 1 Binary Par t 2 N ow writ e t he binary number for each decimal number Par t 3 Fill in t he decimal and binary equivalent s of each exponent . Decimal Binary 0 2= 1 2= 2 2= 3 2= 4 2= 5 2= 6 2= 7 2= 32 64 128 Computer Maintenance I: Numbering Systems Introduction to Binary Systems UNT in partnership with TEA, Copyright © . All rights reserved 12 Student Name: Date: NUMBERING SYSTEMS EXAM DIRECTIONS: Circle the letter that corresponds to the one (1) best answer for each of the questions below. Question 1: All functions of a computer are based upon the use and manipulation of numbers. Which number system is most native to a computer? A. B. C. D. binary decimal hexadecimal octal Question 2: What is the decimal conversion of the binary number 11011001? A. B. C. D. 221 193 217 192 Question 3: What is the hexadecimal conversion of the decimal number 224? A. B. C. D. F0 E0 92 9E Question 4: What is the decimal conversion of the hexadecimal number 7F? A. B. C. D. 115 134 201 127 Question 5: What is the binary conversion of the hexadecimal number CB? A. B. C. D. 10111001 11100001 11000100 11001011 Question 6: Which binary number represents the decimal number 133? A. B. C. D. 10001011 11000001 10000111 10000101 Computer Maintenance I: Numbering Systems Exam UNT in partnership with TEA, Copyright © . All rights reserved 14 Question 7: What is the hexadecimal equivalent of the decimal number 241? A. B. C. D. E7 D3 F1 A9 Question 8: What is the decimal value of the binary number 11111111? A. B. C. D. 0 64 192 255 Question 9: What is the definition of a bit? A. B. C. D. the section of a network that is bounded by bridges, routers, or switches a binary digit used in the binary number system, either 0 or 1 the interface on an internetworking device, such as a router the network areas within which data packets that have collided are propagated Question 10: Which of the following phrases best describes the decimal numbering system? A. B. C. D. It is also called the Base 100 Number System. It is based on powers of 1. It uses the 10 symbols 0 - 9. It is the same as the ASCII numbering system. Question 11: Which numbering system is based on powers of 2? A. B. C. D. octal hexadecimal binary ASCII Question 12: What is the decimal number 151 in binary? A. B. C. D. 10010111 10010110 10101011 10010011 Question 13: What is the binary number 11011010 in decimal? A. B. C. D. 218 202 222 186 Computer Maintenance I: Numbering Systems Exam UNT in partnership with TEA, Copyright © . All rights reserved 15 Question 14: Convert the decimal number 43 to Hex. A. B. C. D. 2B 1F EF 1A Question 15: Hexadecimal is used to represent what kind of addresses? A. B. C. D. IP Octal MAC Digital Question 16: What is 16 raised to the first power (16 1 )? A. B. C. D. decimal 1 decimal 16 hex FF hex 16 Question 17: Convert the decimal number 2989 to Hex. A. B. C. D. FDD1 BAD ED CAD Question 18: What is the decimal value of the hex number ABE? A. B. C. D. 2750 5027 2570 7250 Question 19: What is the hex value of the binary number 11100010? A. B. C. D. D2 E2 G2 H20 Question 20: Which numbering system is based on powers of 10? A. B. C. D. octal hexadecimal binary decimal Computer Maintenance I: Numbering Systems Exam UNT in partnership with TEA, Copyright © . All rights reserved 16