Decimal number decimal systems are used in digital systems because it is difficult to design electronic circuits in such a way that it can work with 10 different voltage levels (0-9). Instead it is easier to design electronic circuits that operate using only 2 voltage levels. For this reason almost all digital systems use a binary number system (base 2) as the base of operations. In the binary system only used two possible symbols / digit values that are: 0 and 1. All the provisions applicable to the cesimal system also apply to binary systems. Note the illustration of binary numbers: 1011.101
Each binary digit is called BIT, while the leftmost BIT is called the Most Significant Bit (MSB) and the rightmost BIT is called Least significant Bit (LSB). To differentiate the numbers on different systems the way it is written using subskrib. For example number (9) 10 denotes a medium decimal (1001) 2 represents a binary number.
- Decimal to Binary Conversion
Decimal to binary conversion can be done in several ways but it is easiest to use the trial and error method. The decimal number to be modified is subsequently divided by 2 by considering the remainder of the division. The remainder of the division will be 1 or 0 which will form a binary number with the last remaining MSB.
Example: Convert a decimal number 25 How to do this path:
a. Binary Sum
Follow the table below:
b. Multiplication Binary
Notice the following table:
c. Binary Sharing
Binary division takes place the same as the process of dividing the decimal number even simpler because it only implements the digits: 0 and 1 .
- Converting Binary to Decimal
Follow these steps:
1. Write down the complete binary number
2. Write a series of numbers: 1,2,4,8,16,32,64, … ..dst, below the binary number starting from the far right bit (LSB)
3. Drag all decimal numbers that coincide with binary digits 0.
Totalize all remaining decimal numbers.
