Binary and Hexadecimal Conversions

This video tutorial provides practice in converting numbers between different systems, specifically focusing on decimal, binary, and hexadecimal conversions. It begins with converting the decimal number 31 into binary and hexadecimal, explaining the process step-by-step. The tutorial then moves on to converting a binary number into decimal and hexadecimal, again detailing each step. The video aims to clarify the conversion process by breaking down the numbers into their respective place values and using examples to illustrate the concepts.

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

• Multiply the number by 10.

• Subtract 1 from the number.

• Identify the largest power of the base that fits into the number.

• Divide the number by 2.

Tags

CCSS.2.NBT.A.3

In binary conversion, what is the significance of the '16's place'?

• It represents the number of 16s in the binary number.

• It is used to calculate the decimal equivalent.

• It is not used in binary conversion.

• It represents the number of 8s in the binary number.

How is the number 15 represented in hexadecimal?

• B

• F

• A

• E

How do you determine the largest power of 16 that fits into a decimal number?

• By dividing the number by 16 repeatedly.

• By multiplying the number by 16.

• By adding 16 to the number.

• By subtracting 16 from the number.

What is the purpose of using letters in hexadecimal representation?

• To represent negative numbers.

• To confuse the reader.

• To make the number look more complex.

• To represent values greater than 9.

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is the decimal equivalent of the binary number 11000011?

• 64

• 255

• 128

• 195

Which of the following is a correct step in converting binary to decimal?

• Add the values of all the '1' positions.

• Divide the binary number by 10.

• Multiply all digits by 2.

• Subtract the binary number from 1000.

What is the hexadecimal representation of the binary number 11000011?

• D4

• A1

• B2

• C3

Which of the following is a correct conversion from binary to hexadecimal?

• 1101 to D

• 1010 to B

• 1001 to A

• 1111 to E

What is the relationship between binary and hexadecimal systems?

• Hexadecimal is a subset of binary.

• Each hexadecimal digit represents four binary digits.

• Each binary digit represents two hexadecimal digits.

• They are unrelated.