Solution - Base conversion

3, 261

3,261

Step-by-step explanation

${(C B D)}_{16} = b a s e 10$

Identify the source number, source base, and target base before converting through base 10.

${(C B D)}_{16} = 12 \cdot 16^{2} + 11 \cdot 16^{1} + 13 \cdot 16^{0}$

$12 \cdot 16^{2} + 11 \cdot 16^{1} + 13 \cdot 16^{0} = 3261$

Expand each digit by place value: $12 \cdot 16^{2}$
+ $11 \cdot 16^{1}$
+ $13 \cdot 16^{0}$ . This gives $3, 261$ in base 10.

$\frac{3261}{10} = 326 r e m a \in d e r 1$

$\frac{326}{10} = 32 r e m a \in d e r 6$

$\frac{32}{10} = 3 r e m a \in d e r 2$

$\frac{3}{10} = 0 r e m a \in d e r 3$

$1 \to 6 \to 2 \to 3 = 3261$

$3261 (b a s e 10) = {(3261)}_{10}$

Repeatedly divide $3, 261$ by $10$ , collect remainders, and read them in reverse to get $3, 261$ .

Was this explanation helpful?

How did we do?

Learn more with Tiger

Base conversion is foundational for computer science, digital systems, and number theory.