Converting Decimal Numbers to Binary

This video tutorial from ALL ABOUT ELECTRONICS explains how to convert decimal numbers into binary equivalents. It covers the general method of conversion by dividing the decimal number by 2 and using the remainders to form the binary number. The video provides examples of converting whole numbers and decimal fractions, demonstrating the process step-by-step. It also touches on converting numbers with both integer and fractional parts. The tutorial concludes with a mention of further examples available on another channel.

What is the first step in converting a decimal number to its binary equivalent?

• Multiply the number by 2

• Subtract 2 from the number

• Divide the number by 2

• Add 2 to the number

When converting a decimal number to binary, what does the remainder represent?

• The next number in the sequence

• The most significant digit

• The least significant digit

• The quotient

What is the binary equivalent of the decimal number 27?

• 11101

• 10111

• 11011

• 11010

How do you convert a fractional decimal number to binary?

• By subtracting 2

• By adding 2

• By multiplying by 2

• By dividing by 2

What is the binary equivalent of the fractional decimal 0.625?

• 0.100

• 0.101

• 0.110

• 0.111

In converting a decimal number with both integer and fractional parts, what is the first step?

• Convert the fractional part first

• Convert the integer part first

• Multiply the entire number by 2

• Divide the entire number by 2

What is the binary equivalent of the integer part of 78.33?

• 1100100

• 1011100

• 1001110

• 1001101

What is the binary equivalent of the fractional part 0.33 after several multiplications?

• 0.01010

• 0.10101

• 0.11011

• 0.11100

How can you convert a decimal number to a base-5 number system?

• By subtracting 5

• By multiplying by 5

• By dividing by 5

• By adding 5

What is the general method to convert any decimal number to a base-b number system?

• Successive addition by b

• Successive multiplication by b

• Successive subtraction by b

• Successive division by b