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!