JSS 1 Mathematics Flashcards: Multiplication of Binary Numbers

Question 1

What is $0_2\times1_2$?

Accepted Answer

$0_2$

Question 2

What is $1_2\times1_2$?

Accepted Answer

$1_2$

Question 3

Evaluate $10_2\times10_2$.

Accepted Answer

$100_2$

Question 4

Evaluate $10_2\times11_2$.

Accepted Answer

$110_2$

Question 5

Evaluate $11_2\times11_2$.

Accepted Answer

$1001_2$

Question 6

Evaluate $101_2\times10_2$.

Accepted Answer

$1010_2$

Question 7

Evaluate $101_2\times11_2$.

Accepted Answer

$1111_2$

Question 8

Evaluate $110_2\times11_2$.

Accepted Answer

$10010_2$

Question 9

Evaluate $111_2\times10_2$.

Accepted Answer

$1110_2$

Question 10

Evaluate $100_2\times101_2$.

Accepted Answer

$10100_2$

Question 11

Evaluate $111_2\times111_2$.

Accepted Answer

$110001_2$

Question 12

What happens to a binary numeral when it is multiplied by $10_2$?

Accepted Answer

A zero is appended on the right.

Question 13

What binary number completes $11_2\times\square=1100_2$?

Accepted Answer

$100_2$

Question 14

Which product equals $1000_2$: $100_2\times10_2$, $11_2\times10_2$, $101_2\times10_2$, or $10_2\times10_2$?

Accepted Answer

$100_2\times10_2$

Question 15

Which result is NOT correct: $10_2\times10_2=100_2$, $11_2\times10_2=110_2$, $101_2\times1_2=101_2$, or $111_2\times0_2=111_2$?

Accepted Answer

$111_2\times0_2=111_2$

Question 16

In long binary multiplication, why is the second partial product shifted one place left?

Accepted Answer

It is multiplied by the twos-place digit.

Question 17

Check $101_2\times11_2=1111_2$ by converting to decimal.

Accepted Answer

$5\times3=15$

Question 18

A machine makes $11_2$ parts per cycle for $100_2$ cycles. How many parts does it make?

Accepted Answer

$1100_2$

Question 19

What is the product of any binary numeral and $1_2$?

Accepted Answer

the original binary numeral

Question 20

Why can decimal conversion be useful after binary multiplication?

Accepted Answer

It provides an independent check of the product.

Strong work.