Counting in binary from 0 to 7 (Representing Text, Images and Sound)

Tip: Choose Save as PDF in the print dialog to download. Use A4 paper size.

Counting in binary from 0 to 7 (Representing Text, Images and Sound)

Name:
Date:
Class:
A

Quick Questions

Shade in the A or B circle for each question.

1. What is 101 in binary as a decimal number?
A 5
B 3
2. In binary, what comes right after 1?
A 10 (a new column is needed)
B 2
3. Which list counts from 0 to 3 correctly in binary?
A 000, 001, 002, 003
B 000, 001, 010, 011
4. What is the biggest number that three bits can show?
A 111, which is 7
B 111, which is 3
5. What is the binary number for 4 using three bits?
A 011
B 100
B

Match the Pairs

Draw a line connecting each item on the left to its match on the right.

Left columnRight column
1010 A000, 001, 010, 011, 100
2111 B1 + 1 = 10
3After 1 you run out of digits, so you add a new column: 1 + 1 makes two, written as 10 CThere is no digit 2 in binary. Adding 1 to 011 carries over to give 100, which is 4.
4Counting from 0 to 7 with three bits starts at 000 and reaches 100 for the number 4 DThe biggest number three bits can show, which is 7
50, 1, 2, 3 in binary is 0, 1, 2, 3 EThe decimal number 2, written with three bits
6011 + 1 = 012 FBinary can only use the digits 0 and 1, so 2 and 3 cannot be written as single digits. Two is 10 and three is 11.
C

Definitions

000 001 010 011 100 101 110 111
D

Fill in the Blanks

Complete each line of code by filling in the missing parts.

1.
000 001 010 ___ 100 101 110 111
2.
1 + 1 = __ in binary
3.
101 in binary is _ in decimal
4.
Three bits count from 000 up to ___
5.
Decimal 4 is written ___ in binary
E

Spot the Error

Shade in the letter of the line that contains an error.

Question 1
A 0 = 001
B 1 = 001
C 2 = 010
D 3 = 011
Question 2
A 4 = 100
B 5 = 101
C 6 = 101
D 7 = 111
Question 3
A Count: 000, 001, 010
B After 001 comes 002
C After 010 comes 011
D After 011 comes 100
Question 4
A 000 = 0
B 001 = 1
C 010 = 2
D 011 = 4
Question 5
A Three bits: 000 to 111
B 000 is 1 in decimal
C 111 is 7 in decimal

Answer Key

Counting in binary from 0 to 7 (Representing Text, Images and Sound)
Section A: Quick Questions
Q1
A — 5
Q2
A — 10 (a new column is needed)
Q3
B — 000, 001, 010, 011
Q4
A — 111, which is 7
Q5
B — 100
Section B: Match the Pairs
Q1
010 → The decimal number 2, written with three bits
Q2
111 → The biggest number three bits can show, which is 7
Q3
After 1 you run out of digits, so you add a new column: 1 + 1 makes two, written as 10 → 1 + 1 = 10
Q4
Counting from 0 to 7 with three bits starts at 000 and reaches 100 for the number 4 → 000, 001, 010, 011, 100
Q5
0, 1, 2, 3 in binary is 0, 1, 2, 3 → Binary can only use the digits 0 and 1, so 2 and 3 cannot be written as single digits. Two is 10 and three is 11.
Q6
011 + 1 = 012 → There is no digit 2 in binary. Adding 1 to 011 carries over to give 100, which is 4.
Section C: Definitions
Q1
000 001 010 011 100 101 110 111 — Counting in binary uses only 0 and 1, so after 1 the next number needs a new column: 1 + 1 = 10. Three bits count from 000 (0) up to 111 (7).
Section D: Fill in the Blanks
Q1
000 001 010 011 100 101 110 111
Q2
1 + 1 = 10 in binary
Q3
101 in binary is 5 in decimal
Q4
Three bits count from 000 up to 111
Q5
Decimal 4 is written 100 in binary
Section E: Spot the Error
Q1
A — Zero in three bits is 000, not 001. 001 is the number 1.
Q2
C — Six is 110 in binary. 101 is the number 5.
Q3
B — Binary only has the digits 0 and 1, so 002 is not possible. After 001 comes 010 because 1 + 1 needs a new column.
Q4
D — 011 means 2 + 1, which is 3 in decimal. Four is 100.
Q5
B — 000 has no 1s in it, so its value is 0, not 1.