1 press ctrl-a ©g dear 2010 – not to be sold/free to use converting bits and bytes stage 6 - year...
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Press Ctrl-APress Ctrl-A©G Dear 2010 – Not to be sold/Free to use
ConvertingConvertingBits and BytesBits and BytesStage 6 - Year 11Stage 6 - Year 11
Applied Mathematic(Preliminary General 1)
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End ofSlide
Converting Bits and Bytes
Whatever you do when you workYou will be using computers at some point
You will come across the terms
Bits and Bytes.It’s unlikely you will need to do
any calculations
But an understanding of what it all means is useful.
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2021222324252627
1248163264128
End ofSlide
Binary Number System – Computer Talk
1 byte = 8 bits
Nibble 1Nibble 2
Decimal Numbers0 to 255
Computers talk in 1’s and 0’s called bits.
Place Value
s
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Converting Bits and Bytes
2021222324252627
1248163264128
1 1 1 1 1 1 1 1
1 2 3 4 5 6 7 8 9
11 12 13 14 15 16 17 18 19
21 22 23 24 25 26 27 28 29
10
20
30
31 32 33 34 35 36 37 38 39 40Click on any number.
[5 second display]
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2021222320212223
12481248
End ofSlide
Converting Bytes to Hexadecimal
1 byte = 8 bits
Nibble 1Nibble 2
Hexadecimal Number0 to FF
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Converting Bits and Bytes
Hexadecimal Numbers
0 1 2 3 4 5 6 7
0 1 2 3 4 5 6 7
8 9 10 11 12 13 14 15
8 9 A B C D E F
Dec
Dec
Hex
Hex
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Converting Bytes to Hexadecimal
10010000
Add the numbers with a 1 under them.
1248163264128
Decimal =1 + 8 = 9
1001000012481248
8 + 1 = 90Hexadecimal =09
0 1 2 3 4 5 6 7
0 1 2 3 4 5 6 7
8 9 10 11 12 13 14 15
8 9 A B C D E F
Dec
Dec
Hex
Hex
Press
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Converting Bytes to Decimal & Hexadecimal
10110000
Add the numbers with a 1 under them.
1248163264128
Decimal =8 + 4 + 1
1011000012481248
8 + 4 + 1 = 130Hexadecimal =0D
= 13
= D
0 1 2 3 4 5 6 7
0 1 2 3 4 5 6 7
8 9 10 11 12 13 14 15
8 9 A B C D E F
Dec
Dec
Hex
Hex
Press
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Converting Bytes to Decimal & Hexadecimal
10101100
Add the numbers with a 1 under them.
1248163264128
Decimal =32+ 16+ 4
1010110012481248
4 + 1 = 52 + 1 = 3Hexadecimal =35
+ 1= 55
0 1 2 3 4 5 6 7
0 1 2 3 4 5 6 7
8 9 10 11 12 13 14 15
8 9 A B C D E F
Dec
Dec
Hex
Hex
Press
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End ofSlide
Converting Bytes to Decimal & Hexadecimal
01011101
Add the numbers with a 1 under them.
1248163264128
Decimal =128+ 32+ 16
0101110112481248
8 + 2 = 108 + 2 + 1 = 11Hexadecimal =BA
+ 8
= B = A
+ 2= 186
0 1 2 3 4 5 6 7
0 1 2 3 4 5 6 7
8 9 10 11 12 13 14 15
8 9 A B C D E F
Dec
Dec
Hex
Hex
Press
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End ofSlide
Converting Bytes to Decimal & Hexadecimal
Add the numbers with a 1 under them.
0 1 2 3 4 5 6 7
0 1 2 3 4 5 6 7
8 9 10 11 12 13 14 15
8 9 A B C D E F
Dec
Dec
Hex
Hex