Convert the following decimal numbers to its hexadecimal equivalent. Show your solutions. 1) 96 2) 378 3) 700

Understand the Problem

The question is asking to convert specific decimal numbers (96, 378, and 700) into their hexadecimal equivalents, and to show the steps involved in the conversion process.

Answer

1) $60$, 2) $17A$, 3) $2BC$

Steps to Solve

Convert 96 to Hexadecimal

To convert decimal number $96$ to hexadecimal, divide by $16$ and keep track of the remainders.
- $96 \div 16 = 6$ with a remainder of $0$.
- So, $96$ in hexadecimal is $60$.
Convert 378 to Hexadecimal

Next, convert the decimal number $378$ to hexadecimal in the same way.
- $378 \div 16 = 23$ with a remainder of $10$ (or $A$ in hexadecimal).
- $23 \div 16 = 1$ with a remainder of $7$.
- $1 \div 16 = 0$ with a remainder of $1$.
- Reading the remainders from bottom to top, $378$ in hexadecimal is $17A$.
Convert 700 to Hexadecimal

Finally, convert the decimal number $700$.
- $700 \div 16 = 43$ with a remainder of $12$ (or $C$ in hexadecimal).
- $43 \div 16 = 2$ with a remainder of $11$ (or $B$ in hexadecimal).
- $2 \div 16 = 0$ with a remainder of $2$.
- Reading the remainders from bottom to top, $700$ in hexadecimal is $2BC$.

$60$
$17A$
$2BC$

More Information

Hexadecimal is a base 16 number system, which uses the digits 0-9 and the letters A-F to represent values. Each digit represents a power of 16, making it compact for representing large numbers.

Tips

Confusing the remainders with their decimal counterparts (e.g., forgetting that $10$ corresponds to $A$).
Not reading the remainders from bottom to top, which can lead to incorrect results.

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