Calculations Flashcards

Binary Conversions and Operations

1
Q

What is 10^3?

100
1000
10000

A

1000

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2
Q

What is 10101000 binary as a decimal?

A

128+32+8 = 168

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3
Q

What is the Denary?

A

The Denary is the total sum in decimal of a binary conversion.

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4
Q

Convert 0100 1101 1101 0000 Binary to Hexadecimal

A

0100 - A
1101 - D
1101 - D
0000 - 0

ADD0

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5
Q

What are Binary Operations?

A

Addition
Subtraction
Multiply
Divide

All of binary

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6
Q

What is the trick on how to work binary operations on the following?

1010 + 1001

A

The trick is to take the binary and change it to decimal, work it out and then take it as a form of binary again.

1010 -> 10
1001 -> 9
10 + 9 = 19

      128    64    32    16    8    4    2    1 19 =     0       0      0      1      0    0   1     1

Ans = 0001 0011

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7
Q

Add 10 0110 and 11 0101

A

32 16 8 4 2 1
1 0 0 1 1 0 -> 38
1 1 0 1 0 1 -> 53

38 + 53 = 91

128 64 32 16 8 4 2 1
0 1 0 1 1 0 1 1

Ans = 0101 1011

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8
Q

Add 10 1101 and 11 1101

A

32 16 8 4 2 1
1 0 1 1 0 1 -> 45
1 1 1 1 0 1 -> 61

45+61 = 106

128 64 32 16 8 4 2 1
0 1 1 0 1 0 1 0

Ans = 0110 1010

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9
Q

Subtract 10 from 100

A

8 4 2 1
0 1 0 0 -> 4
0 0 1 0 -> 2

4 - 2 = 2

8 4 2 1
0 0 1 0

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10
Q

Subtract 1 from 100

A

8 4 2 1
0 1 0 0 -> 4
0 0 0 1 -> 1

4 -1 = 3

8 4 2 1
0 0 1 1

Ans = 0011

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