This document provides an example of converting binary numbers to hexadecimal numbers. It shows that binary numbers are grouped into 4-bit groups starting from the decimal point moving left, then converted to their hexadecimal equivalent. So the binary number 1101100110101.101010011 would be converted to B 3 D . 5 11 in hexadecimal.

1. 1.10
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Hexadecimal
Conversion
MATH1003

2. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Goal
To correctly convert binary numbers into
hexadecimal numbers.
MATH1003

3. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary to Hexadecimal Conversion
MATH1003

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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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