Conversions Flashcards

(52 cards)

1
Q

How to convert from decimal to any base

A

You divide by the base you’re converting together and collect the remainders in reverse order

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4
Q

What happens when converting to any base from decimal and there’s a remainder?

A

Minus the whole number from the decimal(so you remain with the decimal) and then multiply the decimal by the base you are converting to

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5
Q

What is A in alpha numerical?

A

10

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6
Q

What is B in alpha numerical?

A

11

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7
Q

What is C in hexadecimal?

A

12

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8
Q

What is D in hexadecimal?

A

13

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9
Q

What is E in alpha numerical?

A

14

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10
Q

What is F in Alpha numerical

A

15

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11
Q

How to convert from any base to decimal?

A

Use positional weighting summation
NB you are multiplying by the base you are converting to

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12
Q

Up to what base is three bit bit binary used?

A

Base eight aka Octal

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13
Q

What does BCD stand for and what does it mean?

A

BCD stands for binary coded decimal, and it is a four bit representation of each integer in base 10.

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14
Q

What is excess 3 and its procedure ?

A

BCD +3. You add three to each digits then code using BCD.

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15
Q

What does ASCIT stand for?

A

American standard coded information interchange

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16
Q

Can you convert from binary to any base and vice versa directly? If not, stay how would you.

A

Yes

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17
Q

Can you convert from excess three to any base directly? If not, stay how would you.

A

No, you cannot. You have to convert to base 10 then minus 3 then convert to the base

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18
Q

When converting from any base to excess 3 what is the procedure?

A

You convert from the base to decimal and then + 3 and convert to BCD

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19
Q

How to convert from any base to grey code?

A

You rewrite that base in four bit binary then you do horizontal summation

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20
Q

How do you convert from grey code to binary?

A

You do diagonal summation To get BCD, then you can convert to the base

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21
Q

How do you do addition in the bases

A

You are the numbers, and if the resultant is greater than the base you minus the base from the resultant and let that answer be the final one for that column, and you carry one to the next column

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22
Q

How do you do subtraction in any base

A

If the number you are subtracting from is less than a number you are taking away, it you borrow the amount of the base you are working from the preceeding number.

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23
Q

1 in 3 bit Binary

24
Q

2 in 3 bit Binary

25
Q

3 in 3 bit Binary

26
Q

4 in 3 bit Binary

27
5 in 3 bit Binary
101
28
6 in 3 bit Binary
110
29
7 in 3 bit Binary
111
30
111
7
31
110
6
32
101
5
33
100
4
34
011
3
35
010
2
36
001
1
37
1 in BCD
0001
38
3 in BCD
0011
39
2 in BCD
0010
40
4 in BCD
0100
41
5 in BCD
0101
42
6 in BCD
0110
43
7 in BCD
0111
44
8 in BCD
1000
45
9 in BCD
1001
46
10 in BCD
1010
47
11 in BCD
1011
48
12 in BCD
1100
49
13 in BCD
1101
50
14 in BCD
1110
50
15 in BCD
1111
51
Can you convert from any base to BCD directly ? If not state how you would go about get it
no convert to base 10 then BCD
52
Can you convert from BCD to any base directly if not say how
No write the BCD in integer form now you have it in Base 10, now convert your base 10 to the desired base
53
Can you convert from any base to excess 3 directly? If not, stay how would you.
No you have convert that base to 10 then add 3, then write the four-bit representation