JSS 1 Mathematics Flashcards: Converting Base-ten Numbers to Binary Numbers

Question 1

Which digits are used in the binary number system?

Accepted Answer

0 and 1

Question 2

What is the place value of the rightmost digit in a binary numeral?

Accepted Answer

$2^0=1$

Question 3

Convert $5_{10}$ to base two.

Accepted Answer

$101_2$

Question 4

Convert $10_{10}$ to base two.

Accepted Answer

$1010_2$

Question 5

Convert $13_{10}$ to base two.

Accepted Answer

$1101_2$

Question 6

Convert $18_{10}$ to base two.

Accepted Answer

$10010_2$

Question 7

Convert $25_{10}$ to base two.

Accepted Answer

$11001_2$

Question 8

Convert $32_{10}$ to base two.

Accepted Answer

$100000_2$

Question 9

What decimal value does the binary place pattern $1\times8+0\times4+1\times2+1\times1$ represent?

Accepted Answer

11

Question 10

During repeated division of 13 by 2, what remainders are obtained from first to last?

Accepted Answer

1, 0, 1, 1

Question 11

After repeated division by 2, in what order are the remainders read to form the binary numeral?

Accepted Answer

from the last remainder to the first

Question 12

Which is NOT a valid binary numeral: $10101_2$, $1110_2$, $1201_2$, or $10000_2$?

Accepted Answer

$1201_2$

Question 13

How many different values can one binary digit, or bit, represent?

Accepted Answer

2

Question 14

What is the greatest decimal value represented by four binary digits?

Accepted Answer

15

Question 15

Convert $7_{10}$ to base two.

Accepted Answer

$111_2$

Question 16

Convert $20_{10}$ to base two.

Accepted Answer

$10100_2$

Question 17

Convert $31_{10}$ to base two.

Accepted Answer

$11111_2$

Question 18

If a binary digit is 0, what does it indicate for that place value?

Accepted Answer

The place value is not included.

Question 19

Why do computers use binary digits at a basic level?

Accepted Answer

Electronic states can be represented as off and on.

Question 20

What binary numeral comes immediately after $111_2$?

Accepted Answer

$1000_2$

Strong work.