Other base system to Decimal System

Steps

● Step 1 - Determine the column (positional) value of each digit (this depends on the position of the digit and the base of the number system).

● Step 2 - Multiply the obtained column values (in Step 1) by the digits in the corresponding columns.

● Step 3 - Sum the products calculated in Step 2. The total is the equivalent value in decimal.

Example

Binary Number : 11101₂

Calculating Decimal Equivalent:

Step	Binary Number	Decimal Number
Step 1	111012	((1 x 2^4) + (1 x 2^3) + (1 x 2^2) + (0 x 2^1) + (1 x 2^0))10
Step 2	111012	(16 + 8 + 4 + 0 + 1)10
Step 3	111012	2910

Binary Number : 11101₂ = Decimal Number : 29₁₀