15 J277 1.2 Converting between binary and denary

What is the base of the denary number system?

• Base-2

• Base-8

• Base-10

• Base-16

In the binary number system, what does each column represent?

• Each column triples the one before

• Each column doubles the one before

• Each column halves the one before

• Each column remains the same

How is the number 3 represented in a 3-bit binary system?

• 0-0-1

• 1-0-0

• 0-1-1

• 1-1-0

What digits are used in the denary number system?

When representing numbers in eight bits, how would you write the binary number 1-0-1-0-1-0-0-1?

• 0-1-0-1-0-1-0-0-1

• 0-1-0-1-0-1-0-0

• 0-1-0-1-0-1-0-1

• 0-1-0-1-0-1-1-0

What is the binary representation of the number 89?

• 0-1-0-1-0-1-0-0-1

• 0-1-0-1-0-1-0-1

• 0-1-0-1-0-1-1-0

• 0-1-0-1-1-0-0-1

In the binary number line method, what is the value of the column heading for the first column on the left?

• 128

• 64

• 32

• 16

What is the denary equivalent of the binary number 0-1-1-0-0-1-1-0?

• 96

• 100

• 102

• 110

When converting a binary number to denary, what should you do with the columns that have a 1 in them?

• Ignore them

• Subtract their values

• Add their values

• Multiply their values

What is the maximum number of bits you are expected to convert at GCSE level?

• 4 bits

• 6 bits

• 8 bits

• 10 bits