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# Math1003 1.10 - Binary to Hex Conversion

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### Math1003 1.10 - Binary to Hex Conversion

1. 1. 1.1010110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion MATH1003
2. 2. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Goal To correctly convert binary numbers into hexadecimal numbers. MATH1003
3. 3. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion MATH1003
4. 4. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Decimal Binary Hexadecimal 0 0000 0 1 0001 1 2 0010 2 3 0011 3 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
5. 5. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Decimal Binary Hexadecimal 0 0000 0 1 0001 1 2 0010 2 3 0011 3 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
6. 6. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Decimal Binary Hexadecimal 0 0000 0 1 0001 1 2 0010 2 3 0011 3 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
7. 7. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal 0 0000 0 1 0001 1 2 0010 2 3 0011 3 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
8. 8. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
9. 9. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion The bits are grouped into 4 digit binary numbers starting at Here’s an example of binary to hexadecimal conversion: the period going left, Decimal Binary Hexadecimal then going right 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
10. 10. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion The bits are grouped into 4 digit binary numbers starting at Here’s an example of binary to hexadecimal conversion: the period going left, Decimal Binary Hexadecimal then going right 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
11. 11. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion The bits are grouped into 4 digit binary numbers starting at Here’s an example of binary to hexadecimal conversion: the period going left, Decimal Binary Hexadecimal then going right 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 . 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
12. 12. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion The bits are grouped into 4 digit binary numbers starting at Here’s an example of binary to hexadecimal conversion: the period going left, Decimal Binary Hexadecimal then going right 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 0101 . 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
13. 13. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion The bits are grouped into 4 digit binary numbers starting at Here’s an example of binary to hexadecimal conversion: the period going left, Decimal Binary Hexadecimal then going right 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 0011 0101 . 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
14. 14. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion The bits are grouped into 4 digit binary numbers starting at Here’s an example of binary to hexadecimal conversion: the period going left, Decimal Binary Hexadecimal then going right 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1011 0011 0101 . 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
15. 15. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion The bits are grouped into 4 digit binary numbers starting at Here’s an example of binary to hexadecimal conversion: the period going left, Decimal Binary Hexadecimal then going right 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
16. 16. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion The bits are grouped into 4 digit binary numbers starting at Here’s an example of binary to hexadecimal conversion: the period going left, Decimal Binary Hexadecimal then going right 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
17. 17. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion The bits are grouped into 4 digit binary numbers starting at Here’s an example of binary to hexadecimal conversion: the period going left, Decimal Binary Hexadecimal then going right 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
18. 18. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion The bits are grouped into 4 digit binary numbers starting at Here’s an example of binary to hexadecimal conversion: the period going left, Decimal Binary Hexadecimal then going right 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 1001 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
19. 19. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion The bits are grouped into 4 digit binary numbers starting at Here’s an example of binary to hexadecimal conversion: the period going left, Decimal Binary Hexadecimal then going right 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
20. 20. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
21. 21. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal Leading 0s are added to 0 0000 0 make the leftmost part into 1 0001 1 1101100110101.101010011 a 4 digit binary number 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 0001 1011 0011 0101 . 1010 1001 1 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
22. 22. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 0001 1011 0011 0101 . 1010 1001 1 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
23. 23. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: 0s areDecimal Trailings added Binary Hexadecimal 0 0000 0 to make the rightmost 1 0001 1 part into a 4 digit binary 1101100110101.101010011 number 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 0001 1011 0011 0101 . 1010 1001 1000 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
24. 24. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 0001 1011 0011 0101 . 1010 1001 1000 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
25. 25. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal We convert each of 0 0000 0 the 4 digit binary number 1 0001 1 1101100110101.101010011 into their hexadecimal 2 0010 2 equivalent 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 0001 1011 0011 0101 . 1010 1001 1000 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
26. 26. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal We convert each of 0 0000 0 the 4 digit binary number 1 0001 1 1101100110101.101010011 into their hexadecimal 2 0010 2 equivalent 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 0001 1011 0011 0101 . 1010 1001 1000 5 0101 5 1 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
27. 27. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 0001 1011 0011 0101 . 1010 1001 1000 5 0101 5 1 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
28. 28. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 0001 1011 0011 0101 . 1010 1001 1000 5 0101 5 1 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
29. 29. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 0001 1011 0011 0101 . 1010 1001 1000 5 0101 5 1 B 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
30. 30. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 0001 1011 0011 0101 . 1010 1001 1000 5 0101 5 1 B 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
31. 31. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 0001 1011 0011 0101 . 1010 1001 1000 5 0101 5 1 B 3 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
32. 32. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 0001 1011 0011 0101 . 1010 1001 1000 5 0101 5 1 B 3 5 . 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
33. 33. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 0001 1011 0011 0101 . 1010 1001 1000 5 0101 5 1 B 3 5 . A 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
34. 34. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 0001 1011 0011 0101 . 1010 1001 1000 5 0101 5 1 B 3 5 . A 9 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
35. 35. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 0001 1011 0011 0101 . 1010 1001 1000 5 0101 5 1 B 3 5 . A 9 8 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
36. 36. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 0001 1011 0011 0101 . 1010 1001 1000 5 0101 5 1 B 3 5 . A 9 8 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003
37. 37. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 Binary to Hexadecimal Conversion Here’s an example of binary to hexadecimal conversion: Decimal Binary Hexadecimal 0 0000 0 1 0001 1 1101100110101.101010011 2 0010 2 3 0011 3 1 1011 0011 0101 . 1010 1001 1 4 0100 4 0001 1011 0011 0101 . 1010 1001 1000 5 0101 5 1 B 3 5 . A 9 8 6 0110 6 7 0111 7 8 1000 8 9 1001 9 10 1010 A 11 1011 B 1101100110101.1010100112 = 1B35.A9816 12 1100 C 13 1101 D 14 1110 E 15 1111 F MATH1003