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Binary is the simplest kind of number system that uses only two digits of 0 and 1 (i.e. value of base 2). Since digital electronics have only these two states (either 0 or 1), so binary number is most preferred in modern computer engineer, networking and communication specialists, and other professionals.
Whereas Octal number is one of the number systems which has value is 10 and it has only 8 symbols: 0, 1, 2, 3, 4, 5, 6, and 7.
Conversion from Binary to Octal number system
Octal number system provides convenient way of converting large binary numbers into more compact and smaller groups. There are various ways to convert a binary number into octal number. You can convert using direct methods or indirect methods. First, you need to convert a binary into other base system (e.g., into decimal, or into hexadecimal). Then you need to convert it octal number.
- QuickMath allows students to get instant solutions to all kinds of math problems, from algebra and equation solving right through to calculus and matrices.
- Now, let's apply these steps to, for example, the decimal number (501) 10 Step 1: As 501 is greater than 7, divide by 8. 501 ÷ 8 = 62.625 Step 2: To calculate the remainder, you need to multiply the part after the decimal point by 8. 0.625. 8 = 5 So the first remainder (and the least significant digit in the octal) is 5.
Roman Numerals Converter. This simple Roman Numerals Converter can be used at any time to convert numbers to Roman numerals.If you need to make conversion from Arabic numbers to Roman numerals, simply enter the number to the box on the right, and press the button 'Convert to Roman'. Scientific notation is also know as exponential notation. Instant translate 1 2 download free. In this calculator, numbers in scientific notation must be entered in 'e' notation. For example, 1.234 x 10 40 is entered as 1.234e40 or 1.234E40. Note that 1e0 = 1 x 10^0 and since anything raised to 0 is equal to 1, 1e0 = 1. More examples on how to enter numbers in scientific notation.
| Most Significant Bit (MSB) | Octal Point | Least Significant Bit (LSB) | |||
|---|---|---|---|---|---|
| 82 | 81 | 80 | 8-1 | 8-2 | 8-3 |
| 64 | 8 | 1 | 1/8 | 1/64 | 1/512 |
Since number numbers are type of positional number system. That means weight of the positions from right to left are as 80, 81, 82, 83and so onfor the integer part and weight of the positions from left to right are as 8-1, 8-2, 8-3and so on.for the fractional part.
Example − Convert binary number 10010110 into octal number.
However, there is also a direct method to convert a binary number into octal number − grouping which is explained as following below.
Using Grouping
Since, there are only 8 digits (from 0 to 7) in octal number system, so we can represent any digit of octal number system using only 3 bit as following below.
| Octal Digit Value | Binary Equivalent |
|---|---|
| 0 | 000 |
| 1 | 001 |
| 2 | 010 |
| 3 | 011 |
| 4 | 100 |
| 5 | 101 |
| 6 | 110 |
| 7 | 111 |
So, if you make each group of 3 bit of binary input number, then replace each group of binary number from its equivalent octal digits. That will be octal number of given number number. Note that you can add any number of 0's in leftmost bit (or in most significant bit) for integer part and add any number of 0's in rightmost bit (or in least significant bit) for fraction part for completing the group of 3 bit, this does not change value of input binary number.
So, these are following steps to convert a binary number into octal number. Fuel for keynote themes 2 0 x.
Take binary number Endurance 2020 vehicle notification dept.
Divide the binary digits into groups of three (starting from right) for integer part and start from left for fraction part.
Convert each group of three binary digits to one octal digit.
This is simple algorithm where you have to grouped binary number and replace their equivalent octal digit.
Numeracy 1 0 – Octdechex Converter Pdf
Example-1 − Convert binary number 1010111100 into octal number. Since there is no binary point here and no fractional part. So,
Therefore, Binary to octal is.
Numeracy 1 0 – Octdechex Converter Mp4
Example-2 Convert binary number 0110 011.1011 into octal number. Since there is binary point here and fractional part. So,
Therefore, Binary to octal is.
These are above simple conversions binary number to octal number.
