CISCO NETWORKING ACADEMY Chabot College ELEC 74A Hexadecimal Introduction.

CISCO NETWORKING ACADEMYCISCO NETWORKING ACADEMY

Chabot CollegeChabot College

ELEC 74AELEC 74AHexadecimal Introduction


Hexadecimal NumbersHexadecimal Numbers

In the decimal (base 10) system, each digit has 10 possible values.

In the hexadecimal (base 16) system, each digit has 16 possible values:

Dec 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15Hex 0 1 2 3 4 5 6 7 8 9 A B C D E F


Hexadecimal NumberingHexadecimal Numbering

In decimal, each place value is a power of ten.

We read the number 2342 as two-thousand three-hundred forty-two.

1101001000

2432

100101102103



In hexadecimal, each place value is a power of 16!

We read the hex number 2342 as

(2 x 4096) + (3 x 256) + (4 x 16) + (2 x 1) = 9026

116256

2

4096

2

160161162163

43


Hexadecimal NotationHexadecimal NotationIs 2342 a decimal or hex number?

Hex numbers often• are preceded by 0x:

0x2342• are followed by h:

2342h• include digits A - F:

2B4C• used for MAC addresses:

00-0A-3C-24-A2-99


ConversionsConversions



In hex, each place value is a power of 16:

1162564096

160161162163


Hex to Decimal ConversionHex to Decimal Conversion

The hex number 2B1F is equivalent to 11,071 in decimal:

2 x 4096 = 8,192

B (11) x 256 = 2,816

3 x 16 = 48

F (15) x 1 = 15

Total = 11,071

116256

F3B

4096

2

160161162163



Convert the hex number 04A3 to decimal:

__ x 4096 = _____

__ x 256 = _____

__ x 16 = _____

__ x 1 = _____

Total = _____

116256

3A4

4096

0

160161162163



Convert the hex number 04A3 to decimal:

0 x 4096 = 0

4 x 256 = 1024

A (10) x 16 = 160

3 x 1 = 3

Total = 1187

116256

3A4

4096

0

160161162163


Decimal to Hex ConversionDecimal to Hex Conversion

The decimal number 1,442 is equivalent to 5A2 in hexadecimal:

Convert 1,442:

1442 / 256 = 5 with remainder of 162

162 / 16 = 10 (A) with remainder of 2

2 / 1 = 2

Hex Answer: 5A2

116256

2A5

4096

160161162163



Convert the decimal number 965 to hexadecimal:

Convert 965:

___ / 256 = ___ with remainder of ___

___ / 16 = ___ with remainder of ___

___ / 1 = 2

Hex Answer: _____

1162564096

160161162163



Convert the decimal number 965 to hexadecimal:

Convert 965:

965 / 256 = 3 with remainder of 197

197 / 16 = 12 (C) with remainder of 5

5 / 1 = 5

Hex Answer: 3C5

1162564096

160161162163

C3 5


Binary ReviewBinary Review

In binary, each place value is a power of two.

Binary 1001 is equivalent to 9 in decimal.

124

100

8

1

20212223


Hex to Binary ConversionHex to Binary Conversion

• 16 = 24, so four binary bits can be represented as a single hex digit:

Binary1111 1110 1101 1100 1011 1010 1001 1000 0111 0110 0101 0100 0011 0010 0001 0000

Hex F E D C B A 9 8 7 6 5 4 3 2 1 0

Dec 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0


Hex - Binary RelationshipHex - Binary Relationship

0A-3C-19 24-C6-78

0 A 3 C 1 90000 1010 0011 1100 0001 1001

2 4 C 6 7 80010 0100 1100 0110 0111 1000

4 bits per hex digit

8 bits (one byte) per pair of hex digits

6 pairs of hex digits X 8 bits per pair = 48 bit MAC address

< 24 bits (OUI) > < 24 bits (station) >



• Conversions are usually done one byte (8 bits) at a time.

• Each byte is split into two 4-bit parts.

• Each 4-bit part converts to one hex (24) digit:



Convert Hex C4 to Binary:

• C = 1100

• 4 = 0100

• C4 = 11000100

Binary1111 1110 1101 1100 1011 1010 1001 1000 0111 0110 0101 0100 0011 0010 0001 0000

Hex F E D C B A 9 8 7 6 5 4 3 2 1 0

Dec 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0



Convert Hex 7F to Binary:

• 7 = ____

• F = ____

• 7F = ________

Binary1111 1110 1101 1100 1011 1010 1001 1000 0111 0110 0101 0100 0011 0010 0001 0000

Hex F E D C B A 9 8 7 6 5 4 3 2 1 0

Dec 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0



Convert Hex 7F to Binary:

• 7 = 0111

• F = 1111

• 7F = 01111111

Binary1111 1110 1101 1100 1011 1010 1001 1000 0111 0110 0101 0100 0011 0010 0001 0000

Hex F E D C B A 9 8 7 6 5 4 3 2 1 0

Dec 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0


Binary to Hex ConversionBinary to Hex Conversion

Convert Binary 11000011 to Hex:

• 1100 = _

• 0011 = _

• 11000011 = __

Binary1111 1110 1101 1100 1011 1010 1001 1000 0111 0110 0101 0100 0011 0010 0001 0000

Hex F E D C B A 9 8 7 6 5 4 3 2 1 0

Dec 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0


Binary to Hex ConversionBinary to Hex Conversion

Convert Binary 11000011 to Hex:

• 1100 = C

• 0011 = 3

• 11000011 = C3

Binary1111 1110 1101 1100 1011 1010 1001 1000 0111 0110 0101 0100 0011 0010 0001 0000

Hex F E D C B A 9 8 7 6 5 4 3 2 1 0

Dec 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0


Practice SlidePractice Slide

Binary1111 1110 1101 1100 1011 1010 1001 1000 0111 0110 0101 0100 0011 0010 0001 0000

Hex F E D C B A 9 8 7 6 5 4 3 2 1 0

Dec 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0

1162564096

160161162163

Decimal < - > Hex

Binary < - > Hex

Date post:	23-Dec-2015
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CISCO NETWORKING ACADEMY Chabot College ELEC 74A Hexadecimal Introduction.

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