# ⇩ BASE N TO DECIMAL CONVERTERS ⇩

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

Enter a binary number.

RESULT

(1010.11)2 = (10.75)10

DESCRIPTIONS

We multiply each binary digit with its place value and add the products.

(1010.11)2 = (1 × 23) + (0 × 22) + (1 × 21) + (0 × 20) + (1 × 2-1) + (1 × 2-2)

= $\mathbf{8}$ + $\mathbf{2}$ + $\mathbf{\dfrac{1}{2}}$ + $\mathbf{\dfrac{1}{4}}$

= (10.75)10

OTHER INFORMATION

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# ⇩ BASE N TO DECIMAL CONVERTERS ⇩

## INFORMATION

### BINARY TO DECIMAL CONVERSION

To convert a binary number to decimal we multiply each digit with its place value and add the products.

Each place value can be represented by an exponential number whose base is equal to the base of the number. Exponent of the place value increases by 1 if we move 1 digit left and the exponent of the ones digit is equal to zero.

### WHAT IS BINARY TO DECIMAL CONVERTER?

Binary to decimal converter,

• Computes the decimal equivalent of the entered number,
• Describes the solution step by step and
• Illustrates the place values.

### HOW TO USE BINARY TO DECIMAL CONVERTER?

You can use binary to decimal 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 decimal equivalents of other binary numbers you can clear the input box by clicking on the CLEAR button under the input box.