data representation number
DESCRIPTION
PresentationTRANSCRIPT
STARTER – CRACK THE CODE
15 21 20 3 15 13 5
9
3 1 14
3 15 14 22 5 18 20
21 19 9 14 7
2 9 14 1 18 25
STARTER – CRACK THE CODE
15 21 20 3 15 13 5
O U T C O M E
9
I
3 1 14
C A N
3 15 14 22 5 18 20
C O N V E R T
21 19 9 14 7
U S I N G
2 9 14 1 18 25
B I N A R Y
DATA R
EPRES
ENTA
TION -
NUMBER
YE
AR
8 –
CO
MP
UT
I NG
OUTCOMES
• All students will be able to convert using 8 bit numbers
• Most students will be able to convert between binary, denary and binary to hexadecimal.
• Some students will be able to convert confidently between binary, denary and hexadecimal
Objective:
I can convert using binary, denary and hexadecimal numbers
HOW DO COMPUTERS TALK?
Objective:
I can convert using binary, denary and hexadecimal numbers
EXAMPLE
128 64 32 16 8 4 2 1
0 0 0 0 1 0 0 1
1 = On0 = Off
Take the “On” numbers and add them together
8+1 = 9
So;
1001 in Binary is equal to the denary (integer)
9
Objective:
I can convert using binary, denary and hexadecimal numbers
TASK ONE - A
Binary Denary
11100101
01011010
10110101
01000101
11011111
11110000
10000000
11111111
2) So how ….. can I represent the number 256 in
binary?
1
128 64 32 16 8 4 2 1
Objective:
I can convert using binary, denary and hexadecimal numbers
TASK ONE - A
Binary Denary
11100101 229
01011010 90
10110101 181
01000101 69
11011111 223
11110000 240
10000000 128
11111111 255
2) So how ….. can I represent the number 16 in
binary?
1
128 64 32 16 8 4 2 1
Objective:
I can convert using binary, denary and hexadecimal numbers
CAN WE MAKE NUMBERS INTO BINARY?
So we know that 00000110 is equal to 5 but how to we make numbers into
binary code.
Simple!
Objective:
I can convert using binary, denary and hexadecimal numbers
DENARY TO BINARY
99 =
Why? 64+31+2+1 = 99
128 64 32 16 8 4 2 1
0 1 1 0 0 0 1 1
Objective:
I can convert using binary, denary and hexadecimal numbers
TASK ONE – B – CONVERT THE DENARY
Binary Decimal
8
12
56
93
121
187
209
254
2) So what is 110110100 in denary form?
1
128 64 32 16 8 4 2 1
Objective:
I can convert using binary, denary and hexadecimal numbers
TASK ONE – B – CONVERT THE DENARY
Binary Decimal
00001000 8
00001100 12
00111000 56
01011101 93
01111001 121
10111011 187
11010001 209
11111110 254
2) So what is 110110100 in denary form?
1
128 64 32 16 8 4 2 1
Objective:
I can convert using binary, denary and hexadecimal numbers
PROGRESS CHECK
Can we all confidently
convert using 8 bit binary numbers?
Objective:
I can convert using binary, denary and hexadecimal numbers
THE SOLUTION TO BIGGER NUMBERS ….
Sometimes binary numbers get really long – so we use Hexadecimal to
shorten them – making them easier to store and remember.
In this example, the relatively small number of 42,780 in binary is
1010011100011100
Objective:
I can convert using binary, denary and hexadecimal numbers
CONVERSION TO HEXADECIMAL
1010 0111 0001 1100
10 7 1 12
A 7 1 C
1) Split the binary into groups of 4
2) Using the table system convert to denary numbers
3) Use the Hex table to convert
8 4 2 1
1 0 1 0
8 2 4 1
0 1 1 1
8 4 2 1
0 0 0 1
8 4 2 1
1 1 0 0
0 1 2 3 4 5 6 7 8 9 10
11
12
13
14
15
0 1 2 3 4 5 6 7 8 9 A B C D E F
TASK TWO A – BINARY TO HEXBinary
Hex
0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
10 A
11 B
12 C
13 D
14 E
15 F
Convert the following from Binary to Hexadecimal:
1. 1001 1111 1010 1110 1110
2. 1110 0010 1110 0010 1101
3. 1101 0010 0100 0000 1110
4. 0101 0100 1001 0100 0100
5. 0001 0001 1110 1110 1110 Convert:
8F to Decimal 6F8AB to
Binary
TASK TWO A – BINARY TO HEXBinary
Hex
0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
10 A
11 B
12 C
13 D
14 E
15 F
Convert the following from Binary to Hexadecimal:
1. 1001 1111 1010 1110 1110 9FAEE
2. 1110 0010 1110 0010 1101 E2E2D
3. 1101 0010 0100 0000 1110 D240E
4. 0101 0100 1001 0100 0100 54944
5. 0001 0001 1110 1110 1110 11EEE Convert:
8F to Decimal 143 6F8AB to Binary
1101111100010101011
PLENARYUsing what you have learnt this lesson answer the
following questions;
1. Convert the denary number 110 to binary.
2. Convert the binary for 110 to Hexadecimal.
3. Convert the Hexadecimal E2 to binary
4. Convert the binary for E2 to denary
Objective:
I can convert using binary, denary and hexadecimal numbers
ProgressAchievement
Challenge
Objective:
I can convert using binary, denary and hexadecimal numbers