Course 1.1: Binary

Question 1

The decimal system (base-10) is the human counting system that uses digits 0 through 9.

Answer 1

The decimal system (base-10) is the human counting system that uses digits 0 through 9.

Question 2

What is the binary system?

Answer 2

The binary system (base-2) is the computer counting system that uses only 0 and 1.

Question 3

Why do computers use binary?

Answer 3

Because binary can represent electrical states:

1 = On / Voltage present

0 = Off / No voltage

Question 4

How many values can one byte represent?

Answer 4

256 values total (2⁸ = 256), including 0.

Question 5

What is the maximum decimal value one byte can represent?

Answer 5

255 (because counting starts at 0, so values range from 0 to 255).

Question 6

What are the binary place values from right to left for 8 bits?

Answer 6

128 — 64 — 32 — 16 — 8 — 4 — 2 — 1

Each position is double the value of the one to its right.

Question 7

How do you convert binary to decimal?

Answer 7

Add the place values where the binary digit is 1.

Example:
01101000 = 64 + 32 + 8 = 104

Question 8

What does a binary 1 represent in place value conversion?

Answer 8

The value of that position is included in the total.

Question 9

What does a binary 0 represent in place value conversion?

Answer 9

The value of that position is not included.

Question 10

What is 00001010 in decimal?

Answer 10

10
(8 + 2 = 10)

Question 11

What is 01101000 in decimal?

Answer 11

104
(64 + 32 + 8 = 104)

Question 12

What is machine language?

Answer 12

Machine language is the lowest-level programming language made of binary instructions that computers can directly execute.

Question 13

How does binary relate to text representation?

Answer 13

Characters are assigned binary values using character encoding tables like ASCII and UTF-8.

Question 14

What are the binary place values for an 8-bit byte?

Answer 14

128 — 64 — 32 — 16 — 8 — 4 — 2 — 1

Each value is half the previous value from left to right.

Question 15

How do you convert binary to decimal?

Answer 15

Add the place values where the binary digit is 1.

Example:
10011101 = 128 + 16 + 8 + 4 + 1 = 157

Question 16

Convert binary 00010011 to decimal.

Answer 16

19
(16 + 2 + 1 = 19)

Question 17

How do you convert decimal to binary?

Answer 17

Select place values that add up to the decimal number and place 1s in those positions, otherwise use 0s.

Question 18

Convert decimal 179 to binary.

Answer 18

10110011
(128 + 32 + 16 + 2 + 1 = 179)