## Monday, February 15, 2016

### Binary to Decimal Conversion

Binary to Decimal

• Using the weight associated with each digit position in a binary number.
• Apply the weight to each digit starting from LSB.
Convert 1101012 to decimal.
 1101012 = 1x25 + 1x24 + 0x23 + 1x22 + 0x21 + 1x20 = 1x32 + 1x16 + 0x8 + 1x4 + 0x2 + 1x1 = 32 + 16 + 0 + 4+ 0 + 1 = 53
1101012 = 5310

Convert 11101012 to decimal.
 11101012 =1x26 + 1x25 + 1x24 + 0x23 + 1x22 + 0x21 + 1x20 = 1x64 + 1x32 + 1x16 + 0x8 + 1x4 + 0x2 + 1x1 = 64 + 32 + 16 + 0 + 4+ 0 + 1 = 117
11101012 = 11710
• Knowing the weight of each bit in a binary number makes it simple to add them together to get its decimal equivalent.
Convert 1101012 to decimal.
 Weight 32 16 8 4 2 1 Digits 1 1 0 1 0 1 Sum 32 16 0 4 0 1 = 5310

Convert 11101012 to decimal.
 Weight 64 32 16 8 4 2 1 Digits 1 1 1 0 1 0 1 Sum 64 32 16 0 4 0 1 = 11710

Related topics:
Binary to Decimal Conversion   |   Binary to Hexadecimal Conversion   |   Hexadecimal to Binary Conversion   |   Decimal to Hexadecimal Conversion   |   Hexadecimal to Decimal Conversion

List of topics: Microcomputer