Question

. Convert (971)16 to decimal

Answer 1

$\textsf{\large{\underline{Answer}:}}$

• The decimal equivalent of the hexadecimal number (971)₁₆ is (2417)₁₀

$\textsf{\large{\underline{Solution}:}}$

Given Hexadecimal Number: (971)₁₆

The Decimal Equivalent of the number will be:

= (9 × 16²) + (7 × 16¹) + (1 × 16⁰)

= (9 × 256) + 112 + 1

= 2304 + 113

= (2417)₁₀

Therefore:

> (971)₁₆ is (2417)₁₀ (Answer)

$\textsf{\large{\underline{Steps To Solve}:}}$

• Multiply each hexadecimal digit starting from right with the successive powers of 16 (starting with 0).
• Add the products obtained after multiplication.
• Result obtained will be the decimal equivalent of the given hexadecimal number.