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Home › Forum › Programming › Programming Tutorials › Coffee Break with Binary

Coffee Break with Binary

Posts 1–2 of 2 · Page 1 of 1
Wampwire
Wampwire
Coffee Break with Binary
There are a lot of number systems in the world today. There are decimal, hexadecimal, binary, and many more. Binary is an example of the main number system which operates on most if not all machines and computers. It consists of 0 (zero) and 1 (one). Different combinations of zeros and ones can provide different values or even different functions, such as 1 being ON and 0 being OFF. So overall, a computer stores information in a binary (base 2) format.

Base 2 numbers, as mentioned above, are composed of 2 digits. 0 and 1. Each digit of a number has a power of 2 associated with it based on its position in the number. For example, 11001 (Binary Number) = 25 (Decimal Number). We can work this out with involving a little bit of mathematics. (1 * 2 ^ 4) + (1 * 2 ^ 3) + (0 * 2 ^ 2) + (0 * 2 ^ 1) + (1 * 2 ^ 0). Notice how the power increases as we go along from right to left. Practically, we would write down this calculation by normally using Decimal (Base 10) format. 16 + 8 + 1. The answer is 25. However, machines do not quite like this system, as they only are capable of using transistors to create logic gates where there is power or there isn't any. Power flowing = 1, No Power = 0.

0 = 0000
1 = 0001
2 = 0010
3 = 0011
4 = 0100
5 = 0101
6 = 0110
7 = 0111
8 = 1000

These are the first 8 decimals in their binary state.
Using division methods, we can find the rightmost digit first, which is called the least significant bit (lsb). The leftmost digit of the binary number is called the most significant bit (msb). A basic unit of memory consists of 8 bits which is called a byte. So if you have 8 bytes, that means you would have 64 bits. Remembering the fact that a basic unit of memory is a byte, we can find out what large values of bytes and megabytes are in bits. An average computer with 32 megabytes of memory can hold roughly 32 million bytes of information.

To get into assembly programming language (well, its not much of a programming language), you would first need to understand how memory works.
Each byte in memory is labelled by a unique number known as its address.
Every word has a different unit of Memory.

Word = 2 bytes
Double Word = 4 bytes
Quad Word = 8 bytes
Paragraph = 16 bytes

Data on the CPU is called a Register. There are many different functions which are available to the registers, such as Shift register, Add register, and so on. The data in the registers is accessible by the CPU much faster than data stored in the memory.

Its all I had time to type up. Follow up, assembly insight.
#1 · 13y ago
Mayion
[MPGH]Mayion
C+P I Think?
#2 · 13y ago
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Tags for this Thread

#base#binary#byte#cpu#data#memory#registers