## TOOL: SIGNED BINARY TO DECIMAL CONVERTER (MAGNITUDE REPRESENTATION)

#### SIGNED BINARY TO DECIMAL CONVERTER (MAGNITUDE REPRESENTATION)

Enter a binary number.

The decimal representation of the signed maginute binary 111011 is:

-27

SOLUTION STEPS

The decimal equivalent of 111011 is -27.

OTHER INFORMATION

Copied to clipboard
Copy Text

## INFORMATION

Negative numbers can be represented in binary using one of the following representations.

• signed magnitude representation
• signed 1's complement representation
• signed 2's complement representation

This calculator uses the magnitude representation. In this representation, a sign bit is prepended to the binary form of the number. The sign bit is 0 if the number is positive; and 1 if the number is negative.

### WHAT IS SIGNED BINARY TO DECIMAL CONVERTER (MAGNITUDE)?

Signed binary to decimal converter,

• Finds the decimal equivalent of the entered signed binary magnitude representation,
• Illustrates the solution steps one by one.

### HOW TO USE THE SIGNED BINARY TO DECIMAL CONVERTER (MAGNITUDE)?

You can use the signed binary to decimal converter in two ways.

• #### USER INPUTS

You can enter a base 2 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 find the decimal equivalent of some other signed binary magnitude representations 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.