Understanding Decimal to Binary Conversion

What base is used in the decimal number system?

• Base 16

• Base 2

• Base 10

• Base 8

How many digits are used in the binary number system?

• 10

• 2

• 8

• 16

What fundamental difference between decimal and binary systems is highlighted in the conversion process?

• The complexity of numbers

• The speed of calculation

• The base of the number system

• The use of different symbols

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

• Double a number starting from 1 until it exceeds the target

• Add numbers until you reach the target

• Divide the number by 2 repeatedly

• Start with the highest number and subtract

What is the binary equivalent of decimal 26?

• 11010

• 10110

• 11100

• 10011

In converting to binary, what do you do after doubling numbers to exceed the target?

• Subtract the largest number from the target

• Identify which numbers to add to reach the target

• Start over with a smaller number

• Convert each number to binary

Why do we not need to double past a certain point in the conversion process?

• Because binary numbers are shorter

• To avoid exceeding the target number

• Due to limitations in the binary system

• To make the process faster

What is the binary equivalent of decimal 14?

• 1110

• 1101

• 1001

• 1011

How do you determine which numbers to use in the binary conversion process?

• Use only even numbers

• Choose numbers randomly

• Use numbers that when added match the target decimal

• Always use the number 1

What is the binary equivalent of decimal 35?

• 111100

• 110001

• 101011

• 100011