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Binary to Octal and Octal to Binary Conversion


Method for Binary to Octal Conversion

The numbers 0 and 1 are called binary number and represented by base-2 notations, whereas, the numbers 0, 1, 2, 3, 4, 5, 6, & 7 are called as octal numbers and represented by base-8 notations. The binary to octal conversion can be done by bits grouping method. Follow the below steps to learn and practice how to perform binary to octal conversion.

step 1: Separate the digits of a given binary number into groups from right to left side, each containing 3 bits.
step 2: Add 0's to the left, if the last group doesn't contain 3 digits.
step 3: Find the equivalent octal number for each group.
step 4: Write the all groups octal numbers together, maintaining the group order provides the equivalent octal number for the given binary.

Assignments


Binary to Octal Conversion :
1) (11011)2 = (?)8
2) (111101)2 = (?)8
3) (1010)2 = (?)8
4) (11101011102)2 = (?)8
5) (111101)2 = (?)8
6) (1010)2 = (?)8
7) (1010)2 = (?)8
8) (1010)2 = (?)8
9) (1010)2 = (?)8
10) (1010)2 = (?)8
11) (10101111)2 = (?)8

Method for Octal to Binary Conversion

This conversion can be done by finding the binary equivalent for an each digit of the octal number, combining them together in the same order. The below steps may useful to learn and practice how to perform octal to binary conversion.

step 1: Separate the digits of the given octal number, if it contains more than 1 digit.
step 2: Find the equivalent binary number for each digit of octal number. Add as many 0's to the left, if any of the binary equivalent is shorter than 3 bits.
step 4: Write the all group's binary numbers together, maintaining the same group order provides the equivalent binary for the given octal number.

Assignments


Octal to Binary Conversion :
1) (500)8 = (?)2
2) (2555)8 = (?)2
3) (1573)8 = (?)2
4) (5672)8 = (?)2
5) (4351)8 = (?)2
6) (6124)8 = (?)2
7) (234)8 = (?)2
8) (667)8 = (?)2
9) (214)8 = (?)2
10) (37745)8 = (?)2
11) (6123)8 = (?)2