Number Systems: Binary and Hexadecimal

The video tutorial explains how to convert the decimal number 47 into binary and hexadecimal systems. It begins with binary conversion, detailing the process of breaking down the number into powers of 2 and representing it in base 2. The tutorial then shifts to hexadecimal conversion, explaining the use of powers of 16 and how hexadecimal digits extend beyond the usual 0-9 range to include letters A-F. The video also touches on the concept of binary digits, or bits, and how different base systems require different numbers of symbols.

What is the largest power of two that fits into the number 47?

• 16

• 64

• 128

• 32

When converting 47 to binary, which power of two is used after 32?

• 2

• 16

• 8

• 4

How many binary digits (bits) are used to represent the number 47?

• 7

• 6

• 5

• 4

In hexadecimal, what is the base number system?

• 8

• 10

• 12

• 16

How many times does 16 fit into 47 when converting to hexadecimal?

• 1

• 2

• 3

• 4

What letter represents the decimal number 15 in hexadecimal?

• E

• F

• B

• A

How many digits are there in the hexadecimal system?

• 12

• 10

• 14

• 16

What is the hexadecimal representation of the decimal number 16?

• G

• 11

• 10

• F

In hexadecimal, what does the digit 'F' represent in decimal?

• 13

• 14

• 15

• 16

What is the hexadecimal equivalent of the decimal number 32?

• 23

• 22

• 21

• 20