Working with 8-bit bytes and hexadecimal Lesson Objective: Understand 8-bit bytes and Hexadecimal ...
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Working with 8-bit bytes and hexadecimal Lesson Objective: Understand 8-bit bytes and Hexadecimal Lesson Outcome: Convert between 8 bit binary and decimal numbers, convert to/from hexadecimal. Key words: 8 bit byte, decimal, hexadecimal
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Transcript of Working with 8-bit bytes and hexadecimal Lesson Objective: Understand 8-bit bytes and Hexadecimal ...
Working with 8-bit bytes and hexadecimal Lesson Objective:
Understand 8-bit bytes and Hexadecimal
Lesson Outcome:Convert between 8 bit binary and decimal numbers, convert to/from hexadecimal.
Key words: 8 bit byte, decimal, hexadecimal
First ... A summary of last lesson
1010 What is this in denary?
What is 9 in binary?
What is the time on this digital clock?
How is data stored?
A book stores data with ink and paper
A = 01000001
Book Vs Computer
A computer stores data as electronic 0’s and 1’s
Bits and Bytes
0 1 0 0 0 0 0 11248163264128
Each place is called a BIT (Binary digIT)
8 Bits make oneBYTE
Rounded off numbers in binary
Examples of ‘rounded off’ numbers in decimal:
101001000Rounded off numbers in Binary:
2 4 8 16 32 64 128 256 512 1024
Kilobyte, Megabytes, Gigabytes
8 bits = 1 byte
1024 Bytes in a Kilobyte
0 1 0 0 0 0 0 1
1024 Kilobytes in a Megabyte
1024 Megabytes in a Gigabyte
Question
0 1 0 0 0 0 0 1What is a BIT?
Question
0 0 0 1
How many bits are there in this byte?
Answer = 4
Question
0 1 0 0 0 0 0 1How many bytes are there in a kilobyte?
Answer = 1024
Converting between denary and binary
055650 5 5 6 51s10s100s1000s10000s
0 1 0 0 0 0 0 11248163264128
= 64 + 1 = 65
Converting from binary to denary
0 0 0 11248
0 0 1 1
0 1 0 1
1 0 0 1
1 0 1 0
0 1 1 1
=1
=3
=5
=9
=10
=7
Converting between denary and binary
0 1 0 0 0 1 0 11248163264128
= 64 + 4 + 1 = 69
0 0 0 1 0 0 1 01248163264128
= 16 + 2 = 18
Converting between denary and binary
0 0 1 0 0 0 1 01248163264128
= 64 + 4 + 1 = 69
0 0 0 1 0 0 1 0 = 16 + 2 = 18
0 0 1 0 0 0 1 1 = 32 + 2 + 1 = 35
From Denary to Binary
0 0 0 1 0 0 1 01248163264128
18 =
21 = 0 0 0 1 0 1 0 1
71 = 0 1 0 0 0 1 1 1
Complete the worksheets
Eight-bit bytes and decimal
Binary and Hex digits ...
0 0 0 00 0 0 10 0 1 00 0 1 10 1 0 00 1 0 10 1 1 00 1 1 1
1 0 0 01 0 0 11 0 1 01 0 1 11 1 0 01 1 0 11 1 1 01 1 1 1
= 0
= 1
= 2
= 3
= 4
= 5
= 6
= 7
= 8
= 9
= A
= B
= C
= D
= E
= F
Another binary to hex conversion
0 0 1 1 0 0 1 1
0 0 1 1 0 0 1 1
Assign a number to each of the nibbles ...
3 3
= 51
What are the following binary numbers in denary?
0 1 0 0 0 0 1 11248163264128
0 1 0 0 1 1 0 1
= 67
= 77
12481248
What are the following binary numbers in Hexadecimal?
= 43
= 4D
10 = A11 = B12 = C13 = D14 = E15 = F
1 1 1 0 1 0 1 1
0 1 0 1 1 0 1 0
12481248
What are the following binary numbers in Hexadecimal?
= EB
= 5A
10 = A11 = B12 = C13 = D14 = E15 = F
Using hexadecimal digits
Making graphics with Hex
10
38
7C
FE
7C
38
10
00
10 = A11 = B12 = C13 = D14 = E15 = F
