Binary to Hexadecimal Conversions

This video tutorial explains how to convert binary numbers into hexadecimal numbers. It provides a detailed step-by-step process, using examples to illustrate the conversion. The video also covers how to verify the conversion by converting both binary and hexadecimal numbers into decimal values. By the end, viewers will understand how to perform these conversions and verify their accuracy.

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

• Add zeros to the binary number.

• Multiply each digit by 2 raised to its position.

• Separate the binary number into groups of four.

• Convert the binary number to a decimal number.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

How do you convert a binary group '0111' to a decimal value?

• Add the digits directly.

• Multiply each digit by 2 raised to its position and sum them.

• Multiply the entire group by 2.

• Convert each digit to hexadecimal and sum them.

What hexadecimal value does the binary number '10110111' convert to?

• B7

• C7

• D7

• A7

When converting binary to hexadecimal, what does the decimal number 11 correspond to?

• A

• D

• B

• C

What is the hexadecimal equivalent of the binary number '1011101010'?

• 2EC

• 2E8

• 2EA

• 2EB

In the binary number '1011101010', what is the decimal value of the group '1110'?

• 15

• 14

• 12

• 13

What is the hexadecimal equivalent of the binary number '111101111100'?

• 1BFC

• 1CFC

• 1DFC

• 1EFC

In the binary number '111101111100', what is the decimal value of the group '1111'?

• 15

• 13

• 12

• 14

How can you verify the accuracy of a binary to hexadecimal conversion?

• By converting both to hexadecimal again.

• By converting both to binary again.

• By converting both to decimal and comparing.

• By converting both to octal.

What is the decimal value of the hexadecimal number '1EFC'?

• 7935

• 7932

• 7933

• 7934