BINARY
Toby Wilson

Be able to convert binary to denary

Be able to convert denary into binary

Be able to explain how computers use binary
LEARNING OBJECTIVES

A number system that uses two digits, 0 and 1

(Base 2 = 0 & 1)

(Base 10 = 0,1,2,3,4,5,6,7,8 & 9)
WHAT IS BINARY?

A bit is a digit in a binary number

It can be either 1 or 0
A BIT
0001

The number above includes 4 bits

Each bit is worth a different value

They work from right to left

In the number, 0 = 8 0 = 4 0 = 2 1 = 1
BINARY NUMBERS

Denary is a regular number . Eg 8

To convert a binary number into denary , you add up the value
of each bit and there you have your result

1011 = 11
8
0
1011
1
BINARY TO DENARY CONVERSION
2

1010 = 10

0011 = 3

1001 = 9

1111 = 15

10010 = 18

10111011 = 187
QUESTION ANSWERS

This is the opposite of binary to denary

This is where you are given a denary number and you need to
convert it in to binary

Eg. 22

22 – 16 (10000) = 6

22 = 10110
6 – 4 (10100) = 2 – 2 (10110) = 0
DENARY TO BINARY CONVERSION

13 – 8 = 5 – 4 = 1 – 1 = 0
(1101)

7 – 4 = 3 -2 = 1 – 1 = 0
(111)

29 – 16 = 13 – 8 = 5 – 4 = 1 -1 = 0

42 – 32 = 10 -8 = 2 -2 = 0

62 – 32 = 30 – 16 = 14 – 8 = 6 – 4 = 2 – 2 = 0 (111110)

200 – 128 = 72 – 64 = 8 – 8 = 0
(11101)
(10101)
(11001000)
QUESTION ANSWERS

Bit – Binary Digit

Nibble – 4 Bit Binary Number

Byte – 8 Bit Binary Number

Kilobyte – 10 Bit Binary Number

Megabyte – 20 Bit Binary Number

Gigabyte – 30 Bit Binary Number

Terabyte – 40 Bit Binary Number
DEFINITIONS

Binary is used to represent all types of data in a computer

For example, Colours

Colours are made up of Red, Green and Blue

Each of these colours are a byte

The combination of these three bytes will give you a huge range
of colours to choose from
HOW IS BINARY USED?

I need to find out how binary represents the following three
areas:

Images

Sound

Text
RESEARCH TASK

The pictures are made up of pixels, each with an 8-bit number
representing a certain shade (Out of 256)
HOW BINARY IS USED TO REPRESENT
IMAGES
HEXADECIMAL
4C = 01001100
F5 = 11110101
Denary
Binary
Hex
Denary
Binary
Hex
0
0000
0
10
1010
A
1
0001
1
11
1011
B
2
0010
2
12
1100
C
3
0011
3
13
1101
D
4
0100
4
14
1110
E
5
0101
5
15
1111
F
6
0110
6
-
-
-
7
0111
7
-
-
-
8
1000
8
-
-
-
9
1001
9
-
-
-
Den
Bin
Hex
45
0010 1101
45
45
0010 1101
45
HEXADECIMAL QUESTIONS
HOW TO ADD IT UP
70(16) = 0111 0000 = 112
70(10) = 0100 0110 = 46
To Binary:
(128 64 32 16 8421)
0 0 0 0 0000
To Hexidecimal:
(8421 8421)
0000 0000
Then add all together
Every 4 bits = 1 Digit
EG: 1101 1011 = 8 + 7 = 15