34 convert binary number into decimal numbe

Computer Science

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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