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Binary Calculator

Binary Addition, Subtraction, Multiplication, Division

Below form can be use to calculate Binary Addition, Subtraction, Multiplication, Division between two binary number and get binary result or decimal result.

Binary to Decimal Converter

Below form used to covert binary to decimal numbers or decimal to binary numbers

Decimal to Binary Coverter

Below form used to covert decimal numbers to binary numbers

The binary calculator is a numerical system that works virtually the same as the decimal number system which is most likely familiar to individuals. The system uses the number 10 as its basis, but the binary system uses 2. Moreover, while the decimal system uses digits 0 through 9, each digit is referred to as a bit, the binary system uses only 0 and 1. Operations such as addition, subtraction, multiplication, and division, are all calculated according to the same rules as the decimal system apart from these differences.

Binary Calculator Add, Sub, Multiplt, Division
Binary Calculator Add, Sub, Multiplt, Division

How to convert decimal to binary Calculator

  • Split the number by 2
  • Get the quotient integer for the next iterative process
  • Get the binary digit remaining.
  • Repeat the steps up to a quotient of 0.

The process of converting from the decimal to the binary system is step by step

  • Find the biggest power of 2 in the given number
  • Subtract from the given number this value
  • Find in step 2 the largest power of 2 in the rest
  • Repeat until no remaining is available
  • Enter 1 for each identified binary place value and one 0 for the remaining

Decimal to Binary conversion table

DecimalBinary
00
11
210
311
4100
7111
81000
101010
1610000
2010100

Binary to decimal Calculator table

Binary to Decimal Conversion
Binary to Decimal Conversion

Binary Calculations

Binary Addition Calculator

Binary add-on follows the same rules as addition in the decidable system, with the exception that the result of an addition is 2 instead of 1 when the add-on values equal 10. For clarification, see the example below.

Binary Subtraction Calculator

Similar to binary addition, except in digits 0 and 1, there are few differences between binary and decimal subtraction. Credit takes place whenever the number subtracted is greater than the number from which it is subtracted. In binary subtraction, only when 1 is removed from 0 is necessary for borrowing. The 0 in the borrowing column becomes essentially “2” (moving the 0-1 to 2-1 = 1), while reducing the 1 in the borrowing column by 1. If the next column is 0, you must borrow a column for every subsequent column.

Binary Multiplication

It is possible that binary multiplication is simpler than decimal multiplication. As the only used values are 0 and 1, either the first term or 0, the results must be added. Please note that the placeholder 0 must be added in each following row and, as in decimal multiplication, the value shifts left. The complexity of binary multiplication results from tedious binary addition, which depends on the number of bits per term. For clarification, see the example below.

Binary Division

The binary division process is similar to the long dezimal system division. The dividend is still divided equally between the divisors and the so-called binary rather than decimal substraction is the only significant difference. Note that it is important for the performance of binary division to be well understood. For clarification, please see the example below and the binary subtraction section.