Computer Science, asked by niduttnisarg, 1 month ago

convert the hexadecimal number 32ABC to decimal number system.​

Answers

Answered by anindyaadhikari13
2

Answer:

  • The decimal equivalent of the hexadecimal number (32ABC)₁₆ is (207548)₁₀

Solution:

Given Hexadecimal Number: (32ABC)₁₆

The decimal equivalent of the number will be:

= (3 × 16⁴) + (2 × 16³) + (A × 16²) + (B × 16¹) + (C × 16⁰)

= (3 × 65536) + (2 × 4096) + (10 × 256) + (11 × 16) + (12 × 1)

= 196608 + 8192 + 2560 + 176 + 12

= (207548)₁₀

Therefore:

> (32ABC)₁₆ = (207548)₁₀  (Answer)

Steps To Solve:

  • Multiply each hexadecimal digits from left with the successive powers of 16 starting with 0. Replace the letters A-F with 10-15 at the time of multiplication.
  • Add the products obtained after multiplication.
  • Result obtained will be the decimal equivalent of the given hexadecimal number.
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