# Binary and Hexadecimal Conversion Challenge!

Can you convert the decimal number 37 to binary and hex decimal?

## Answer:

For the decimal number 37:

Binary conversion: 100101

Hexadecimal conversion: 25

Great job on tackling the binary and hexadecimal conversion challenge! Let's break down the process to convert the decimal number 37 into binary and hex decimal.

## Binary Conversion:

To convert decimal 37 to binary, we can use the division-by-2 method. Here's how it works:

- Step 1: Divide 37 by 2, the quotient is 18 and the remainder is 1 (first binary digit)
- Step 2: Divide 18 by 2, the quotient is 9 and the remainder is 0 (second binary digit)
- Step 3: Divide 9 by 2, the quotient is 4 and the remainder is 1 (third binary digit)
- Step 4: Divide 4 by 2, the quotient is 2 and the remainder is 0 (fourth binary digit)
- Step 5: Divide 2 by 2, the quotient is 1 and the remainder is 0 (fifth binary digit)
- Step 6: Divide 1 by 2, the quotient is 0 and the remainder is 1 (sixth binary digit)

Reading the remainders from bottom to top, we get the binary equivalent of 37 as 100101.

## Hexadecimal Conversion:

Starting with the binary representation of 37 (100101), we can group the binary digits into sets of 4 to convert them into hexadecimal.

1001 01

Converting each group to its hexadecimal equivalent:
**1001** becomes **9** in hexadecimal and **01** remains as **1**.

Combining the hexadecimal equivalents, we get 25 as the hexadecimal representation of 37.

Keep practicing on binary and hexadecimal conversions to strengthen your skills! Way to go!