Number bases: denary, binary and hexadecimal
Name:
Date:
Class:
A
Quick Questions
Shade in the A or B circle for each question.
1. Which statement about denary is correct?
2. Which statement about binary is correct?
3. Which statement about hexadecimal is correct?
4. Which number is written in binary?
5. Which number could be written in hexadecimal but NOT in denary?
B
Match the Pairs
Draw a line connecting each item on the left to its match on the right.
| Left column | Right column | |
|---|---|---|
| 125₁₀ | A2F₁₆ | |
| 21011₂ | B906₁₀ | |
| 3Hexadecimal is base 16, so it needs 16 different digits: 0-9 and then A-F | CHexadecimal only uses the digits 0-9 and the letters A-F. The letter G is not a hex digit. | |
| 4Denary is base 10, so it uses ten different digits: 0 to 9 | DA binary (base 2) number, which can only use the digits 0 and 1 | |
| 51021₂ | EThe number twenty-five written in denary (base 10), which uses the digits 0-9 | |
| 64G₁₆ | FBinary is base 2 so it only has the digits 0 and 1. The digit 2 is not allowed in a binary number. |
C
Definitions
number base
D
Fill in the Blanks
Complete each line of code by filling in the missing parts.
1.
Denary is base 10, digits 0 to _
2.
Binary is base _: digits 0 and 1
3.
Hexadecimal is base 16: digits 0-9, A-_
4.
The number 1011(_) is written in binary
5.
3F(16) is written in ___________
E
Spot the Error
Shade in the letter of the line that contains an error.
Question 1
A
Denary is base 8
B
Digits: 0 to 9
C
Binary is base 2
D
Digits: 0 and 1
Question 2
A
Hexadecimal is base 16
B
Digits 0 to 9 are used
C
Then letters A to F
D
A stands for 10, F for 16
Question 3
A
Binary is base 10
B
It uses 2 different digits
C
The digits are 0 and 1
Question 4
A
Denary is base 10
B
It uses 9 different digits
C
The digits are 0 to 9
Question 5
A
Hexadecimal is base 16
B
It uses 16 different digits
C
The digits are 0-9 and A-G
Answer Key
Number bases: denary, binary and hexadecimal
Section A: Quick Questions
Q1
B — Denary is base 10 and uses the digits 0-9
Q2
A — Binary is base 2 and uses only 0 and 1
Q3
A — Hexadecimal is base 16 and uses 0-9 and A-F
Q4
B — 101101
Q5
A — 3F
Section B: Match the Pairs
Q1
25₁₀ → The number twenty-five written in denary (base 10), which uses the digits 0-9
Q2
1011₂ → A binary (base 2) number, which can only use the digits 0 and 1
Q3
Hexadecimal is base 16, so it needs 16 different digits: 0-9 and then A-F → 2F₁₆
Q4
Denary is base 10, so it uses ten different digits: 0 to 9 → 906₁₀
Q5
1021₂ → Binary is base 2 so it only has the digits 0 and 1. The digit 2 is not allowed in a binary number.
Q6
4G₁₆ → Hexadecimal only uses the digits 0-9 and the letters A-F. The letter G is not a hex digit.
Section C: Definitions
Q1
number base — How many different digits a number system uses: denary is base 10 (digits 0-9), binary is base 2 (digits 0-1) and hexadecimal is base 16 (digits 0-9 and A-F).Section D: Fill in the Blanks
Q1
Denary is base 10, digits 0 to 9Q2
Binary is base 2: digits 0 and 1Q3
Hexadecimal is base 16: digits 0-9, A-FQ4
The number 1011(2) is written in binaryQ5
3F(16) is written in hexadecimalSection E: Spot the Error
Q1
A — Denary uses the ten digits 0 to 9, so it is base 10, not base 8.
Q2
D — The hexadecimal digits go from A = 10 up to F = 15. The largest single hex digit is 15, not 16.
Q3
A — Binary uses only 2 different digits, so it is base 2. Base 10 is denary.
Q4
B — The digits 0 to 9 are ten different digits, which is why denary is base 10. It should say 10 different digits.
Q5
C — Hexadecimal uses 0-9 and the letters A to F, which makes 16 digits. There is no letter G in hexadecimal.