This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.
34 convert binary number into decimal numbe
ScanSolve AI Answer
To convert a binary number to a decimal number, you multiply each digit of the binary number by 2 raised to the power of its position (starting from 0 on the rightmost side) and then sum all these values.
Let's convert the binary number 10110 to decimal.
Step 1: Write down the binary number and assign positions to each digit, starting from 0 on the right. 1 0 1 1 0 4 3 2 1 0 (Positions)
Step 2: Multiply each digit by 2 raised to the power of its position. (1 × 2⁴) + (0 × 2³) + (1 × 2²) + (1 × 2¹) + (0 × 2⁰)
Step 3: Calculate the powers of 2. (1 × 16) + (0 × 8) + (1 × 4) + (1 × 2) + (0 × 1)
Step 4: Perform the multiplications. 16 + 0 + 4 + 2 + 0
Step 5: Sum the results. 16 + 4 + 2 = 22
The decimal equivalent of the binary number 10110 is 22.
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