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Octal numbers are in the range 0 to 7. Since 111 binary is 7 decimal, every three bits in a binary number can be directly converted to a single octal digit.

Thus the 9-bit binary number 101011100 can be split into three groups of three bits, 101 011 100, each of which can be converted to octal, 5 3 4, making the octal representation 5348. If a binary number is not an exact multiple of 3 bits, pad with zeroes until it is.

Note that all bases that are a power of 2 are directly related to binary. A single base-4 digit represents two binary digits, while a base-8 digit represents three bits, base-16 every four bits, and so on.

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11y ago
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9y ago

Each octal digit is equivalent to a triplet of binary digits, as follows:0 = 000

1 = 001

2 = 010

3 = 011

4 = 100

5 = 101

6 = 110

7 = 111


So, for example, octal 517 = binary 101001111.

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Q: How do you convert octal to binary number system?
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What is the binary equivalent of the octal number 13.54?

To convert an octal number to binary, each octal digit is converted to a group of three binary digits. In this case, the octal number 13.54 is equivalent to 101.101100 in binary. The whole number part (13) is converted to 101, and the fractional part (.54) is converted to 101100.


Convert binary numbers to octal numbers 1111111010?

1111111010 = octal 1772


Explain with example procedure to convert octal to binary number?

Convert each "digit" of the octal into a triplet of binary digits, according to the following rule: Octal Binary 0 000 1 001 2 010 3 011 4 100 5 101 6 110 7 111 So, for example, octal 53 = binary 101 011 [= decimal 43]


How can convert binary to octal?

To convert a binary number to an octal number, you need to know how an octal number is represented in binary. It is like this: 0 = 000 4 = 100 1 = 001 5 = 101 2 = 010 6 = 110 3 = 011 7 = 111 As you can see, an octal number consists of 3 'bits' (either a 0 of a 1). Now, to convert a binary number to an octal number, you first have to group the binary digits into groups of 3 bits (starting from the right). Then, you convert every group of bits into octal numbers. This way you get your binary number into an octal one. For example: (1010100111010010)2 We group them into groups of 3 bits, starting from the right. 1 010 100 111 010 010 As you see, we have a single digit left. We must add 0's to make it a group of 3 bits. 001 010 100 111 010 010 Then we convert every group into an octal number, according to the table above. 001 = 1 010 = 2 100 = 4 111 = 7 010 = 2 010 = 2 And in this way, you converted a binary number into an octal one. (1010100111010010)2 = (124722)8


How do you convert a octal to its binary number?

Convert every octal digit into three binary digit: 0->000 1->001 2->010 3->011 4->100 5->101 6->110 7->111

Related questions

Convert the hexadecimal number ABCDEF to octal and binary?

Octal = 52746757 Binary = 101010111100110111101111


Convert octal number 889 to binary?

Don't. 889 is not an octal number.


Convert the decimal numbers 1987 to binary then to octal?

In binary this number is equivalent to 11111000011 while in octal it is 3703


How do you convert a binary number 101111111 to octal?

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Convert the binary number 1011100.1000101 to octal?

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Convert the hexadecimal number 221122 into binary octal and decimal?

221122: Binary = 1000100001000100100010 Octal = 10410442 Decimal = 2232610


How you can convert 128 of octal in binary by direct method?

128 is not a valid octal number. Please restate the question.


Draw a flow chart to convert a binary number to its octal equvalent?

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How do you convert 1470 octal to binary?

1470 octal = 001 100 111 000 binary


Why are these octal codes used instead of decimal system?

Octal codes are often used to write the numerical value of a binary number because it is easier to convert from binary to octal, instead of binary to decimal. You can convert to octal on sight, and it simply requires grouping the binary bits into groups of three, whereas converting to decimal requires repeated division by 10102 or 1010. Actually, grouping into three bits is the same as dividing by 1002 or 810 so the process is really the same. Divide by 8 to get octal. Divide by 10 to get decimal.


How do you convert octal to binary with 2 decimal nos?

The conversion of octal number to binary can be obtained by using two methods. First, it can be converted into decimal and then obtained decimal is converted into binary. In the second method


Convert binary numbers to octal numbers 1111111010?

1111111010 = octal 1772