 # Binary to Decimal - Decimal to Binary

## Convert binary to decimal (bin to dec) or decimal to binary (dec to bin)

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Binary to Decimal Converter

You can input in any of the fields and get equivalent values.
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## How to Convert Binary to Decimal?

• ### For 8 bit Binary to Decimal or 16 bit binary to decimal or 32 bit binary to decimal , we use positional Notation method. Multiply each binary digit with its place value and then add the product values

• Eg to Convert (10011011)2 8 bit binary to decimal

• Start at 20, evaluating it as "1". Increment the exponent by one for each power. We have to write for 8 elements,128, 64, 32, 16, 8, 4, 2, 1

• Multiply binary digit with power values.(1*128)+(0*64)+(0*32)+(1*16)+(1*8)+(0*4)+(1*2)+(1*0)

• = 128+0+0+16+8+0+2+1 Total the Values which is 155

• (10011011)2 = (155)10

## How To Convert Decimal / Numeric to Binary?

• ### Decimal to Binary converter - Divde the number repeatedly by 16 till quotient is zero.

• To convert 16 decimal to binary , Divide the number 16 by 2,the quotient is 8 ,remainder is 0

• Again, Divide the number 8 by 2,the quotient is 4 ,remainder is 0

• Divide the number 4 by 2,the quotient is 2 ,remainder is 0

• Divide the number 2 by 2,the quotient is 1 ,remainder is 0

• Divide the number 1 by 2,the quotient is 0 ,remainder is 1

• Write the remainder from top to botton 10000

• (16)10 = (10000)2

## Decimal to Binary Converter table ## Binary to Decimal Converter table ## FAQ on Binary to Decimal and Decimal to Binary Calculator 