Binary, Hexadecimal, and Octal Conversions

This video tutorial explains how to convert hexadecimal numbers to octal numbers. It begins with an introduction to the conversion process, followed by detailed examples using the hexadecimal numbers AC, 1EF, and 1F2C. Each example is broken down into steps, including converting hexadecimal digits to decimal, then to binary, regrouping binary digits, and finally converting to octal. The video also verifies the conversion by converting the octal result back to decimal to ensure accuracy.

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

• Convert the hexadecimal number to a base 2 number.

• Convert the hexadecimal number to a base 10 number.

• Convert the hexadecimal number to a decimal number.

• Convert the hexadecimal number to a binary number.

In the conversion process, what is the binary equivalent of the hexadecimal digit 'A'?

• 1100

• 1001

• 1010

• 1110

How do you regroup binary numbers when converting from hexadecimal to octal?

• Into groups of 2

• Into groups of 4

• Into groups of 3

• Into groups of 5

What is the octal equivalent of the hexadecimal number AC?

• 452

• 245

• 524

• 254

What is the decimal equivalent of the binary group 111?

• 5

• 8

• 6

• 7

What is the octal equivalent of the hexadecimal number 1EF?

• 755

• 577

• 775

• 757

In the conversion of 1F2C, what is the binary representation of the hexadecimal digit 'F'?

• 1111

• 1110

• 1011

• 1101

What is the octal equivalent of the hexadecimal number 1F2C?

• 14574

• 17445

• 17454

• 14754

How do you verify the conversion from hexadecimal to octal?

• By converting both to decimal and comparing.

• By converting both to binary and comparing.

• By converting both to base 5 and comparing.

• By converting both to base 7 and comparing.

What is the decimal equivalent of the octal number 17454?

• 7898

• 7988

• 7980

• 7890