34 convert binary number into decimal numbe
Computer Science
ScanSolve AI Answer
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.
Step-by-step solution
5 stepsLet's convert the binary number 10110 to decimal.
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)Multiply each digit by 2 raised to the power of its position.
(1 × 2⁴) + (0 × 2³) + (1 × 2²) + (1 × 2¹) + (0 × 2⁰)
Calculate the powers of 2.
(1 × 16) + (0 × 8) + (1 × 4) + (1 × 2) + (0 × 1)
Perform the multiplications.
16 + 0 + 4 + 2 + 0
Sum the results.
16 + 4 + 2 = 22
The decimal equivalent of the binary number 10110 is 22.
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