Base Change Conversions Calculator

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Convert 232 from decimal to hexadecimal

(base 16) notation:

Power Test

Raise our base of 16 to a power

Start at 0 and increasing by 1 until it is >= 232

16⁰ = 1

16¹ = 16

16² = 256 <--- Stop: This is greater than 232

Since 256 is greater than 232, we use 1 power less as our starting point which equals 1

Build hexadecimal notation

Work backwards from a power of 1

We start with a total sum of 0:

16¹ = 16

The highest coefficient less than 15 we can multiply this by to stay under 232 is 14

Multiplying this coefficient by our original value, we get: 14 * 16 = 224

Add our new value to our running total, we get:
0 + 224 = 224

Hexadecimal (10 - 15) are represented by an (A-F) where 14 translates to the letter E

This is <= 232, so we assign our outside coefficient of E for this digit.

Our new sum becomes 224

Our hexadecimal notation is now equal to E

16⁰ = 1

The highest coefficient less than 15 we can multiply this by to stay under 232 is 8

Multiplying this coefficient by our original value, we get: 8 * 1 = 8

Add our new value to our running total, we get:
224 + 8 = 232

This = 232, so we assign our outside coefficient of 8 for this digit.

Our new sum becomes 232

Our hexadecimal notation is now equal to E8

Final Answer

Tags:

• base change conversions
• base
• binary
• conversion
• hexadecimal
• octal