Understanding Base 10 and Base 2 Conversions

What is the primary reason binary is used in computer systems?

• It allows for more complex calculations.

• It is easier for humans to understand.

• Computers can only process two states: on and off.

• It is the most efficient way to store data.

In the decimal system, what happens when you reach the number 10?

• You start using letters.

• You add another digit to the left.

• You switch to binary.

• You reset to zero.

How is the number 3 represented in binary?

• 101

• 100

• 11

• 10

What is the first step in the 'divide by two' method for converting decimal to binary?

• Multiply the number by two.

• Subtract one from the number.

• Divide the number by two and note the remainder.

• Add two to the number.

When using the 'divide by two' method, how do you determine the binary number?

• Read the remainders from top to bottom.

• Read the remainders from bottom to top.

• Multiply the remainders by two.

• Add all the remainders together.

In the binary number line method, what do you do if the number is greater than or equal to the column heading?

• Write a 1 and subtract the column value from the number.

• Skip the column.

• Double the column value.

• Write a 0 and move to the next column.

How can you verify your binary to decimal conversion using the number line method?

• By multiplying all the column values.

• By dividing the total by two.

• By adding up the column values with a 1.

• By subtracting the column values with a 0.

What is the binary representation of the decimal number 89 using the number line method?

• 1011001

• 1101101

• 1011101

• 01011001

What is the maximum number of bits you might be asked to represent in an exam?

• 12 bits

• 8 bits

• 32 bits

• 16 bits

What is the largest positive whole number you can represent with 16 bits?

• 256,000

• 128,000

• 32,767

• 65,535