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What is hexadecimal?
What is hexadecimal?
The hexadecimal system is a base 16 system. It has 16 symbols 0-F
A=10 B=11 C=12 D=13 E=14 F = 15
It is used in:
Memory addresses
Colour codes
MAC (Media Access Control Address) these are identifiers used in a devices NIC ( Network Control Card)
A sample hexadecimal number
A sample hexadecimal number
How is this worked out?
How is this worked out?
(11*160) + (4*161) + (10 * 162)= (11* 1) +(4*16) + (10*256) = 11 + 64 + 2560 = 2,635
A reminder of the values associated with a hex character
Converting Hex to Decimal
Converting Hex to Decimal
The Hex number A2
In decimal this would be:
2 * 160 = 2 * 1 = 2
A * 161 = 10 * 16 = 160
Final Number = 160 + 2 = 162
Converting Hex to Decimal Example 2
Converting Hex to Decimal Example 2
The Hex number B6F7
In decimal would be:
7 * 160 = 7 * 1 = 7
F * 161 = 15 * 16 = 240
6 * 162 = 6 * 256 = 1536
B* 163 = 11 * 4096 = 45056
Final Number = 160 + 16 = 46839
Converting Decimal to Hex
Converting Decimal to Hex
Similar to converting decimal to binary we will divide by the base and then use the remainder as our hex digit.
Let’s look at the same example 162:
162/16 = 10 r 2
10/16 = 0 r 10 so in hex 10 is represented by A
Hexadecimal value = A2
Test Yourself - Hex to Decimal
Test Yourself - Hex to Decimal
Convert the following hexadecimal numbers to decimal integers:
A8
C0F
D ABCE
7F 0C3A
FF FFFF
Hex to Decimal Answers
Hex to Decimal Answers
A8 = 168
C0F = 3087
D ABCE = 895,950
7F 0C3A = 8,326,202
FF FFFF = 16,777,215
Test Yourself - Decimal to Hex
Test Yourself - Decimal to Hex
Convert the following decimal numbers to hex:
15
65
267
4065
Decimal to Hex Answers
Decimal to Hex Answers
15 = F
65 = 41
267 = 10B
4065 = FE1
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