Converting Decimal to Binary using Multiplication

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30 Questions

What does the last carry represent when converting a decimal number to its equivalent hex number?

Least significant bit (LSB)

In the process of converting 0.122 to its equivalent hex number, what does the '1' in '1.952' represent?

Most significant digit

What is the equivalent hex digit for the decimal value 0.952?

F

When converting 0.392 to its equivalent hex number, what does the '6' in '6.272' represent?

Least significant digit

In the conversion of (1248.56) base 10 to its equivalent hex number, what is the hex representation of '56'?

5C

What is the hexadecimal value of (8476.47) base 10 after conversion?

213D.27

What is the equivalent decimal number of the binary 1101110.011?

222.375

What is the equivalent decimal number of the binary 1101.11?

15.25

What is the equivalent decimal number of the binary 10001.01?

17.25

When converting a binary number to decimal, what is the impact of a '0' bit in a particular position?

It adds zero to the result

For the binary number 1011.001, what is the sum of products when converting it to decimal?

13.125

What role does the positional weight play in converting binary numbers to decimal?

It indicates the value each bit contributes in the binary number

What does the last carry in the process represent in converting a decimal number to its equivalent binary number?

Least Significant Bit (LSB)

In converting a decimal number to its equivalent binary number, what should be done with the fractional number of the product during the process?

Multiply by 2 and record as the next bit to MSB

What would be the binary equivalent of the decimal number (1248.56)10?

(11101101000.1001110)2

What is the correct binary equivalent of (420.6)10?

(110100100.1001)2

When converting a decimal number to binary, what does each step of multiplying by 2 represent?

Calculating the next bit towards LSB

What is the binary equivalent of (8476.47)10?

(1000010001100.010101)2

What is the equivalent decimal value of the binary number 1011.01?

13.75

Convert the decimal number 0.6234 to base 8 (octal). What is the result?

0.4742

What is the decimal equivalent of the hexadecimal number 4056?

9094

In converting binary to decimal, what is the procedure that should be followed?

Multiply each bit with its corresponding weight and sum the products

What is the correct procedure to convert a binary number into a decimal number?

Multiply each bit with its corresponding weight and sum the products

When converting a hexadecimal number to decimal, what should you do?

Multiply each digit by its position value and add them together

What is the procedure for converting a hexadecimal number into a decimal number?

Multiplying each bit in the binary number with the corresponding weight

In the conversion process from a hex number to a decimal number, what do you do after writing down the hex number?

Write down the weights for different positions

In converting a hex number 5826 to decimal, what does the '5' represent?

163

What is the result of multiplying '8' by its corresponding weight in the hex number 5826?

2048

After multiplying and adding all product numbers, what is the final decimal equivalent of hex number 5826?

22566

What happens if you add all the digits of a hex number without following the conversion procedure?

The result will be incorrect

Learn how to convert decimal numbers to binary by multiplying the fractional part by 2 and recording the carry as the next bit. Practice converting a decimal number like 0.42 into its equivalent binary representation step by step.

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