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Basics / August 27, 2021

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 […]

By · August 27, 2021 · 1 min read


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:

StepBinary NumberDecimal Number
Step 1111012((1 x 24) + (1 x 23) + (1 x 22) + (0 x 21) + (1 x 20))10
Step 2111012(16 + 8 + 4 + 0 + 1)10
Step 31110122910

Binary Number : 111012 = Decimal Number : 2910