Binary
Definition:
Binary is a base-2 number system that uses only two digits, 0 and 1.
Representation:
Each digit in binary represents a power of 2.
Example: 1011 in binary is equivalent to 11 in decimal.
Usage:
Computers use binary to represent data and perform calculations.
Binary code is the foundation of all digital systems.
Conversion:
Decimal to binary conversion involves dividing the decimal number by 2.
Binary to decimal conversion involves multiplying each digit by 2 raised to the power of its position.
Importance:
Understanding binary is crucial for computer science and programming.
It forms the basis of how computers store and process information.
Binary
In binary we count 0 to 1
Instead pf having digits represents increments of 10 times, we have increments of 2 times
So the number 10 would be broken down like so:
8 | 6 | 4 | 2 |
1 | 0 | 1 | 0 |
255 is the highest number you would be expected to write because it's the largest value stored In a byte
Binary to Denary conversion
Lets convert the binary number 10011010
128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 | Added together |
1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 |
|
128 |
|
| 16 | 8 |
| 2 |
| 154 |
Odd numbers in binary will always end in a 1
An overflow error occurs when you end up with more bits after an edition
Binary Shift
Bit
crumb - 2 bits
Nibble – 4 bits
Byte – 8 bits, 2 nibbles
Kilobyte 1000 bytes
Megabyte 1 000 000 bytes
Gigabyte 1 000 000 000 bytes 1000 megabytes
Terabyte 1 000 000 000 000 bytes or 1000 Giga bytes
Definition:
Binary is a base-2 number system that uses only two digits, 0 and 1.
Representation:
Each digit in binary represents a power of 2.
Example: 1011 in binary is equivalent to 11 in decimal.
Usage:
Computers use binary to represent data and perform calculations.
Binary code is the foundation of all digital systems.
Conversion:
Decimal to binary conversion involves dividing the decimal number by 2.
Binary to decimal conversion involves multiplying each digit by 2 raised to the power of its position.
Importance:
Understanding binary is crucial for computer science and programming.
It forms the basis of how computers store and process information.
Binary
In binary we count 0 to 1
Instead pf having digits represents increments of 10 times, we have increments of 2 times
So the number 10 would be broken down like so:
8 | 6 | 4 | 2 |
1 | 0 | 1 | 0 |
255 is the highest number you would be expected to write because it's the largest value stored In a byte
Binary to Denary conversion
Lets convert the binary number 10011010
128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 | Added together |
1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 |
|
128 |
|
| 16 | 8 |
| 2 |
| 154 |
Odd numbers in binary will always end in a 1
An overflow error occurs when you end up with more bits after an edition
Binary Shift
Bit
crumb - 2 bits
Nibble – 4 bits
Byte – 8 bits, 2 nibbles
Kilobyte 1000 bytes
Megabyte 1 000 000 bytes
Gigabyte 1 000 000 000 bytes 1000 megabytes
Terabyte 1 000 000 000 000 bytes or 1000 Giga bytes