Final answer:
To convert binary to octal, bits are selected in groups of three. Each group of three binary bits is then converted into its equivalent octal digit.
Step-by-step explanation:
To convert from binary to octal, you select bits in groups of three. Each group of three bits in binary corresponds to a single digit in octal. The process involves dividing the binary number into groups of three bits, starting from the rightmost bit and moving to the left. If there are not enough bits to form a group of three at the left end, you can add zeroes to make a full group. Then, you convert each triad into its equivalent octal digit.
For example, the binary number 1100101 can be grouped as 11 001 101, which would then be converted into 3 1 5. Here's the breakdown:
- 11 in binary is 3 in octal
- 001 in binary is 1 in octal
- 101 in binary is 5 in octal
So, the binary number 1100101 is 315 in octal.