Binary Number System
If you are in a place with unfamiliar language, the first two words immediately the best to learn
with are yes or no of that language. You can immediately communicate by just answering yes or
no, more than any other words.
Visual communication using light - light on means yes, light off means no.
In electronics, computer, machine application - electrical signal means yes, without signal
means no.
Because machine language understands only two things, with or without an electrical signal, a
binary number is used to communicate with a computer program.
Binary number is a method of mathematical expression using only two symbols which is
typically 0 and 1. (base-2 numeral system)
Counting numbers using normal decimal number(DN) and equivalent binary number(BN);
DN 0 1 2 3 4 5 6 7 8 9 10 and so on.
BN 0 1 10 11 100 101 110 111 1000 1001 1010 . . .
Converting binary number to decimal number - just add all the digit’s equivalent when 1, those
digits with 0 means not included.
Values each digit of 1; or using the power of 2;
1st 1 1
2nd 1+1 = 2 2
3rd 2+2 = 4 2x2 = 4
4th 4+4 = 8 2x2x2 = 8
5th 8+8 = 16 2x2x2x2 = 16
and so on and soon
example:
Binary 11011 1 1 0 1 1
Digit’s values 16 + 8 + 0 + 2 + 1 = 27
Binary 11100 1 1 1 0 0
Digit’s values 16 + 8 + 4 + 0 + 0 = 28
Binary 11101 1 1 1 0 1
Digit’s values 16 + 8 + 4 + 0 + 1 = 29
Binary 11110 1 1 1 1 0
Digit’s values 16 + 8 + 4 + 2 + 0 = 30
If you are in a place with unfamiliar language, the first two words immediately the best to learn
with are yes or no of that language. You can immediately communicate by just answering yes or
no, more than any other words.
Visual communication using light - light on means yes, light off means no.
In electronics, computer, machine application - electrical signal means yes, without signal
means no.
Because machine language understands only two things, with or without an electrical signal, a
binary number is used to communicate with a computer program.
Binary number is a method of mathematical expression using only two symbols which is
typically 0 and 1. (base-2 numeral system)
Counting numbers using normal decimal number(DN) and equivalent binary number(BN);
DN 0 1 2 3 4 5 6 7 8 9 10 and so on.
BN 0 1 10 11 100 101 110 111 1000 1001 1010 . . .
Converting binary number to decimal number - just add all the digit’s equivalent when 1, those
digits with 0 means not included.
Values each digit of 1; or using the power of 2;
1st 1 1
2nd 1+1 = 2 2
3rd 2+2 = 4 2x2 = 4
4th 4+4 = 8 2x2x2 = 8
5th 8+8 = 16 2x2x2x2 = 16
and so on and soon
example:
Binary 11011 1 1 0 1 1
Digit’s values 16 + 8 + 0 + 2 + 1 = 27
Binary 11100 1 1 1 0 0
Digit’s values 16 + 8 + 4 + 0 + 0 = 28
Binary 11101 1 1 1 0 1
Digit’s values 16 + 8 + 4 + 0 + 1 = 29
Binary 11110 1 1 1 1 0
Digit’s values 16 + 8 + 4 + 2 + 0 = 30
