CISCO NETWORKING ACADEMY Chabot College ELEC 74A Hexadecimal Introduction

CISCO NETWORKING ACADEMY Hexadecimal 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 Hex A B C D E F

CISCO NETWORKING ACADEMY Hexadecimal Numbering In decimal, each place value is a power of ten. We read the number 2342 as two- thousand three-hundred forty-two

CISCO NETWORKING ACADEMY Hexadecimal Numbering 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) =

CISCO NETWORKING ACADEMY Hexadecimal Notation Is 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

CISCO NETWORKING ACADEMY Conversions

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

CISCO NETWORKING ACADEMY Hex 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, F3B

CISCO NETWORKING ACADEMY Hex to Decimal Conversion Convert the hex number 04A3 to decimal: __ x 4096 = _____ __ x 256 = _____ __ x 16 = _____ __ x 1 = _____ Total = _____ A

CISCO NETWORKING ACADEMY Hex to Decimal Conversion Convert the hex number 04A3 to decimal: 0 x 4096 = 0 4 x 256 = 1024 A (10) x 16 = x 1 = 3 Total = A

CISCO NETWORKING ACADEMY Decimal to Hex Conversion The decimal number 1,442 is equivalent to 5A2 in hexadecimal: Convert 1,442: 1442 / 256 = 5 with remainder of / 16 = 10 (A) with remainder of 2 2 / 1 = 2 Hex Answer: 5A A

CISCO NETWORKING ACADEMY Decimal to Hex Conversion Convert the decimal number 965 to hexadecimal: Convert 965: ___ / 256 = ___ with remainder of ___ ___ / 16 = ___ with remainder of ___ ___ / 1 = 2 Hex Answer: _____

CISCO NETWORKING ACADEMY Decimal to Hex Conversion Convert the decimal number 965 to hexadecimal: Convert 965: 965 / 256 = 3 with remainder of / 16 = 12 (C) with remainder of 5 5 / 1 = 5 Hex Answer: 3C C35

CISCO NETWORKING ACADEMY Binary Review In binary, each place value is a power of two. Binary 1001 is equivalent to 9 in decimal

CISCO NETWORKING ACADEMY Hex to Binary Conversion 16 = 2 4, so four binary bits can be represented as a single hex digit:

CISCO NETWORKING ACADEMY Hex - Binary Relationship 0A-3C C 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

CISCO NETWORKING ACADEMY Hex to Binary Conversion 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 (2 4 ) digit:

CISCO NETWORKING ACADEMY Hex to Binary Conversion Convert Hex C4 to Binary: C = = 0100 C4 =

CISCO NETWORKING ACADEMY Hex to Binary Conversion Convert Hex 7F to Binary: 7 = ____ F = ____ 7F = ________

CISCO NETWORKING ACADEMY Hex to Binary Conversion Convert Hex 7F to Binary: 7 = 0111 F = F =

CISCO NETWORKING ACADEMY Binary to Hex Conversion Convert Binary to Hex: 1100 = _ 0011 = _ = __

CISCO NETWORKING ACADEMY Binary to Hex Conversion Convert Binary to Hex: 1100 = C 0011 = = C3

CISCO NETWORKING ACADEMY Practice Slide Decimal Hex Binary Hex