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power points for ati > Binary Multiplication > Flashcards

Binary Multiplication Flashcards

(72 cards)

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1
Q
A
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2
Q

What is binary multiplication?

A

Binary multiplication is the arithmetic operation of multiplying two binary numbers.

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3
Q

True or False: Binary multiplication is similar to decimal multiplication.

A

True

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4
Q

What are the binary digits used in binary multiplication?

A

0 and 1

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5
Q

Fill in the blank: In binary multiplication, the product is calculated using the ______ method.

A

shift-and-add

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6
Q

What is the result of multiplying 1010 (10 in decimal) by 0011 (3 in decimal) in binary?

A

11110 (30 in decimal)

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7
Q

What is the first step in binary multiplication?

A

Multiply the least significant bit of the multiplier with the multiplicand.

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8
Q

When multiplying binary numbers, what does a ‘0’ in the multiplier signify?

A

It signifies that the corresponding row in the product will be all zeros.

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9
Q

What is the binary equivalent of the decimal number 6?

A

110

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10
Q

What is the product of 110 (6 in decimal) and 101 (5 in decimal) in binary?

A

11110 (30 in decimal)

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11
Q

In binary multiplication, how do you handle carries?

A

You add the carry to the next higher bit position.

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12
Q

What is the binary equivalent of the decimal number 15?

A

1111

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13
Q

True or False: The product of two binary numbers can have more bits than either of the original numbers.

A

True

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14
Q

What is the result of multiplying 111 (7 in decimal) by 10 (2 in decimal) in binary?

A

1110 (14 in decimal)

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15
Q

Fill in the blank: The binary multiplication of 1 and 1 results in ______.

A

1

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16
Q

What is the result of multiplying 1001 (9 in decimal) by 110 (6 in decimal) in binary?

A

111110 (54 in decimal)

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17
Q

What does the term ‘multiplicand’ refer to in binary multiplication?

A

The number that is being multiplied.

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18
Q

What does the term ‘multiplier’ refer to in binary multiplication?

A

The number by which the multiplicand is multiplied.

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19
Q

True or False: In binary multiplication, you can directly add the products without considering position.

A

False

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20
Q

What is the binary representation of the decimal number 4?

A

100

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21
Q

What is the product of 1010 (10) and 0101 (5) in binary?

A

01011110 (50 in decimal)

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22
Q

Fill in the blank: The operation of multiplying two binary numbers is also known as ______.

A

binary product

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23
Q

What is the result of multiplying 1111 (15 in decimal) by 0001 (1 in decimal) in binary?

A

1111 (15 in decimal)

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24
Q

How do you represent the product of 0 and any binary number?

A

It is always 0.

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25
What is the binary product of 0110 (6 in decimal) and 0010 (2 in decimal)?
1100 (12 in decimal)
26
What is the carry bit in binary multiplication?
It is the bit that is carried over to the next higher bit position when the sum exceeds 1.
27
What is the product of 0001 (1 in decimal) and 1111 (15 in decimal) in binary?
1111 (15 in decimal)
28
True or False: The product of two binary numbers is always greater than or equal to either of the numbers.
False
29
What is the result of multiplying 0000 (0 in decimal) by any binary number?
0000 (0 in decimal)
30
How do you write the binary number 101 in expanded form?
1*2^2 + 0*2^1 + 1*2^0
31
What happens when you multiply two binary numbers and get a result larger than 8 bits?
You need to handle overflow according to your system's architecture.
32
What is the binary multiplication of 1011 (11 in decimal) and 0010 (2 in decimal)?
10110 (22 in decimal)
33
What is the result of binary multiplication of 1110 (14 in decimal) by 0001 (1 in decimal)?
1110 (14 in decimal)
34
Fill in the blank: When multiplying binary numbers, we shift left for each subsequent bit of the multiplier, which is known as ______.
bit shifting
35
What is the binary product of 0101 (5 in decimal) and 0011 (3 in decimal)?
11111 (15 in decimal)
36
True or False: Each row in binary multiplication corresponds to a digit in the multiplier.
True
37
What is the binary equivalent of 12?
1100
38
What is the result of multiplying 0001 (1) by 0010 (2) in binary?
0010 (2)
39
What is the binary product of 0010 (2) and 0011 (3)?
0110 (6)
40
How is the binary multiplication of 111 (7) and 011 (3) calculated?
By multiplying each bit of the multiplier and adding the shifted results.
41
What is the product of 1000 (8) and 0001 (1) in binary?
1000 (8)
42
Fill in the blank: The binary multiplication of 10 (2) and 10 (2) results in ______.
100 (4)
43
What is the product of 1100 (12) and 0011 (3) in binary?
11000 (36)
44
What is the binary representation of the decimal number 20?
10100
45
What is the binary product of 1010 (10) and 0010 (2)?
10100 (20)
46
True or False: The product of two binary numbers can be calculated without considering carries.
False
47
What is the product of 1111 (15) and 0001 (1)?
1111 (15)
48
What is the result of multiplying 0010 (2) by 0000 (0)?
0000 (0)
49
How do you calculate the binary product of 101 (5) and 111 (7)?
By multiplying and shifting each bit of the multiplier.
50
What is the product of 0101 (5) and 0101 (5) in binary?
11000001 (25)
51
Fill in the blank: The multiplication table for binary numbers is similar to the ______ table for decimal numbers.
multiplication
52
What is the binary equivalent of the decimal number 30?
11110
53
What is the product of 1110 (14) and 0010 (2)?
11100 (28)
54
True or False: Binary multiplication requires more steps than binary addition.
True
55
What is the binary product of 1011 (11) and 0001 (1)?
1011 (11)
56
What is the result of multiplying 1001 (9) by 0010 (2)?
001110 (18)
57
What is the significance of the least significant bit in binary multiplication?
It determines the starting point of the multiplication.
58
What happens when you multiply 111 (7) by 0000 (0) in binary?
The result is 0000 (0).
59
How do you perform binary multiplication of 0100 (4) and 0011 (3)?
By shifting and adding the results of each multiplication.
60
What is the binary product of 0011 (3) and 0001 (1)?
0011 (3)
61
True or False: You can multiply binary numbers directly without any shifting.
False
62
What is the binary equivalent of the decimal number 2?
10
63
What is the result of multiplying 1111 (15) by 0010 (2) in binary?
11110 (30)
64
Fill in the blank: The binary multiplication process involves multiple ______.
steps
65
What is the product of 0101 (5) and 0010 (2) in binary?
1010 (10)
66
What is the binary product of 1110 (14) and 0001 (1) in binary?
1110 (14)
67
True or False: The result of binary multiplication is always a binary number.
True
68
What is the binary equivalent of the decimal number 8?
1000
69
What is the product of 0110 (6) and 0001 (1) in binary?
0110 (6)
70
How do you represent the binary number 0110 in expanded form?
0*2^3 + 1*2^2 + 1*2^1 + 0*2^0
71
What is the result of multiplying 1010 (10) by 0110 (6) in binary?
011110 (60)
72
True or False: The binary multiplication of 1 and 0 results in 1.
False

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