Worksheet

1

The decimal system (Base-10) uses how many unique symbols (digits)?

$2$ $16$ $8$ $10$

2

The base-2 number system is commonly known as the:

Octal System Binary System Decimal System Hexadecimal System

3

In the number $5432_{10}$, what is the place value corresponding to the digit $4$?

$10^1$ $10^2$ $10^3$ $10^0$

4

Which of the following digits is the highest possible digit used in the Binary (Base-2) system?

$0$ $1$ $2$ $9$

5

What is the positional weight of the third position from the right in a binary number? (The rightmost position is the $1^{\text{st}}$ position, which has weight $2^0$.)

$2^1$ $10$ $2^3$ $2^2$

6

What is the place value represented by the fifth position from the right in a binary number (starting from $2^0$)?

$16$ $32$ $2$ $8$

7

Calculate the value of $2^7$.

$256$ $64$ $128$ $32$

8

In the binary place value system, which power of two corresponds to a value of 32?

$2^5$ $2^6$ $2^4$ $2^3$

9

What is the value of $2^0$ in the binary place value system?

$1$ $0$ $2$ $4$

10

The place values in the binary system are based on powers of which number?

$10$ $8$ $2$ $1$

11

Consider the binary number $1000_2$. The '1' in this position represents which power of two?

$2^3$ $2^1$ $2^4$ $2^2$

12

Which place values are used to represent the decimal number 5 in binary?

$2^3$ and $2^1$ $2^1$ and $2^0$ $2^2$ and $2^1$ $2^2$ and $2^0$

13

Calculate the decimal value of the place represented by $2^{10}$.

$1024$ $512$ $2048$ $1000$

14

What is the decimal (denary) equivalent of the binary number $1011_2$?

$15$ $9$ $13$ $11$

15

Convert the 5-bit binary number $10001_2$ to its decimal form.

$33$ $16$ $17$ $18$

16

Find the decimal value of the 8-bit binary sequence $00001101_2$.

$14$ $12$ $13$ $26$

17

The binary number $11000000_2$ represents which decimal number?

$64$ $128$ $200$ $192$

18

Convert $10101010_2$ into decimal.

$200$ $150$ $170$ $85$

19

What is the decimal equivalent of the binary number $111_2$?

$6$ $8$ $9$ $7$

20

Identify the decimal representation of $10000_2$.

$32$ $16$ $8$ $15$

21

Convert the binary number $0110_2$ to denary.

$6$ $4$ $10$ $8$

22

Which decimal number corresponds to the maximum possible value for a 7-bit binary number, $1111111_2$?

$255$ $64$ $77$ $127$

23

Calculate the decimal value of the binary number $10011_2$.

$17$ $35$ $21$ $19$

24

Convert the binary number $(1101)_2$ into its equivalent decimal (denary) value.

$13$ $14$ $11$ $12$

25

What is the denary value of the binary number $(01010)_2$?

$12$ $20$ $10$ $8$

26

The binary representation $(100110)_2$ corresponds to which decimal number?

$42$ $34$ $46$ $38$

27

Calculate the denary equivalent of the 8-bit binary number $(11111111)_2$.

$192$ $256$ $128$ $255$

28

Convert $(1000001)_2$ to its denary form.

$65$ $66$ $129$ $64$

29

What is the decimal equivalent of $(101)_2$?

$5$ $6$ $4$ $3$

30

Find the denary value of $(110010)_2$.

$52$ $46$ $50$ $48$

31

The binary number $(11011)_2$ converts to which decimal number?

$29$ $25$ $27$ $31$

32

Which denary number is represented by $(0110100)_2$?

$56$ $48$ $60$ $52$

33

What is the base of the decimal (denary) number system?

$16$ $8$ $10$ $2$

34

How many unique digits are used in the binary number system?

$8$ $10$ $2$ $1$

35

In the binary number system, what decimal value does the place value $2^3$ represent?

$6$ $16$ $8$ $4$

36

What is the place value of the leftmost '1' in the binary number $1010_2$?

$2\^1$ $2\^2$ $2\^0$ $2\^3$

37

Which power of two corresponds to the fifth position (counting from the right, starting at $2^0$) in a binary number?

$2\^6$ $2\^4$ $2\^3$ $2\^5$

38

Convert the binary number $10_2$ to decimal (denary).

$4$ $1$ $2$ $10$

39

Convert the binary number $101_2$ to decimal.

$5$ $3$ $4$ $6$

40

Convert the binary number $111_2$ to decimal.

$8$ $9$ $7$ $6$

41

Convert the binary number $1000_2$ to decimal.

$8$ $10$ $6$ $4$

42

What is the decimal equivalent of the binary number $1101_2$?

$12$ $11$ $9$ $13$

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CTJan27 Online Year 6 - Introduction to Binary Numbers