Q: How do you convert a octal to its binary number?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

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.

1111111010 = octal 1772

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]

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

Binary number 1110101 equates to octal number 165.

Related questions

Octal = 52746757 Binary = 101010111100110111101111

Don't. 889 is not an octal number.

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

fdfd

134.105

221122: Binary = 1000100001000100100010 Octal = 10410442 Decimal = 2232610

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

gbgb

1470 octal = 001 100 111 000 binary

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

1111111010 = octal 1772

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]