Hexadecimal Number System Concepts

The video tutorial explains how to convert a decimal number, specifically 2000, into its hexadecimal equivalent. It begins by introducing the concept of conversion between decimal and hexadecimal systems. The tutorial then explains the importance of powers of 16 in this process. It demonstrates how to decompose the number 2000 into multiples of powers of 16, starting with the largest power less than 2000. The process is repeated for the remainder, 208, until the number is fully decomposed. Finally, the tutorial shows how to represent these decomposed values in hexadecimal form, resulting in the hexadecimal number '7D0'.

What is the first step in converting a decimal number to hexadecimal?

• Break it down into powers of 16

• Subtract 16 from the number

• Divide the number by 10

• Multiply by 16

What is 16 to the power of 2?

• 16

• 256

• 1

• 4,096

Which power of 16 is used first to decompose 2,000?

• 4,096

• 256

• 1

• 16

How many times does 256 fit into 2,000?

• 5 times

• 8 times

• 6 times

• 7 times

What is the remainder when 2,000 is divided by 256?

• 128

• 512

• 256

• 208

How many 16s are there in 208?

• 12

• 13

• 14

• 15

What is the hexadecimal digit for the decimal number 13?

• B

• D

• A

• C

What is the hexadecimal representation of 2,000?

• 7D0

• 7F0

• 7E0

• 7C0

In hexadecimal, what place value comes after the 16s place?

• 4,096s place

• 16s place

• 256s place

• 1s place

Which of the following is NOT a valid hexadecimal digit?

• F

• 9

• G

• A