# ⇩ NUMBER SYSTEMS-BASE CONVERTERS ⇩

#### BINARY TO OCTAL CONVERTER (WITH STEPS)

Enter a binary number.

RESULT

(1100.11011)2 = (14.66)8

DESCRIPTIONS

Starting from the binary point, we partition the binary number into groups of three bits.

In the integer part, we proceed to the left. To complete the leftmost group of bits, we append two zeros to the left.

In the fractional part, we proceed to the right. To complete the rightmost group of bits, we append a zero to the right.

• (001)2 = (1)8
• (100)2 = (4)8
• (110)2 = (6)8
• (110)2 = (6)8

We convert each group of binary numbers to octal and write them in the same order.

(1100.11011)2 = (14.66)8

OTHER INFORMATION

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# ⇩ NUMBER SYSTEMS-BASE CONVERTERS ⇩

## INFORMATION

### BINARY TO OCTAL CONVERSION

To convert a binary number to octal we can partition the binary number into groups of three bits.

In case, we have a whole number without a binary point we start with the ones digit and proceed to the left.

In case, we have a number with a fractional part starting at the binary point, we proceed to the left in the whole part and we proceed to the right in the fractional part.

If the number of bits is less than 3 in the last group

• In the whole number part, we append zeros to the left and
• In the fractional part, we append zeros to the right.

### WHAT IS BINARY TO OCTAL CONVERTER?

Binary to octal converter,

• Computes the octal equivalent of the entered binary number,
• Graphically illustrates the conversion and
• Describes the solution step by step.

### HOW TO USE BINARY TO OCTAL CONVERTER?

You can use binary to octal converter in two ways.

• #### USER INPUTS

You can enter a binary number to the input box and click on the "CONVERT" button. The result and explanations appaer below the calculator

• #### RANDOM INPUTS

You can click on the DIE ICON next to the input box. If you use this property, a random binary number is generated and entered to the calculator, automatically. You can see the result and explanations below the calculator. You can create your own examples and practice using this property.

• #### CLEARING THE INPUT BOX

To check the octal equivalents of other binary numbers you can clear the input box by clicking on the CLEAR button under the input box.

• You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.