Example No 1:

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Convert the binary number 1001 to a decimal number.

Solution: Given, binary number = 10012

Hence, using the binary to decimal conversion formula, we have:

10012 = (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰)

= 8 + 0 + 0 + 1

= (9)₁₀