Numbering Sytems Flashcards

1
Q

Max digit in Octal

A

7

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2
Q

Max digit in hex

A

F

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3
Q

max digit in decimal

A

9

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4
Q

max digit in binary

A

1

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5
Q

How to convert octal to decimal

A

Starting with the right most digit at 1 add 1 to the power of 8.

https://www.rapidtables.com/convert/number/index.html

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6
Q

How to convert hex to Decimal

A

Starting with the right most digit at 1 add 1 to the power of 16.

https://www.rapidtables.com/convert/number/index.html

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7
Q

what is any number to the power of 0.

A

1

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8
Q

What is A in hex?

A

10

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9
Q

What is B in hex?

A

11

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10
Q

What is C in hex?

A

12

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11
Q

What is D in hex?

A

13

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12
Q

What is E in hex?

A

14

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13
Q

What is F in hex?

A

15

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14
Q

what Addition Boolean Algebra?

How many formulas

A

7 formulas

```
A + 0 = A
A + 1 = 1
A + !A = 1
A + A = A
A + B) + C = A + (B + C
A + B = B + A
A + (B * C) = (A + B) * (A + C)
~~~

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15
Q

what Multiplication Boolean Algebra?

how many formulas

A

7 formulas

```
A * 0 =0
A * 1 = A
!A * A = 0
A * A = A
A * B) * C = A * (B * C
A * B = B * A
A * (B + C) = A * B + A * C
~~~

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16
Q

what Negation Boolean Algebra?

how many formulas

A

3

!1 = 0
!0 = 1
!!A = A
17
Q

what Demorgan Boolean Algebra?

how many formulas

A

2
!(A*B) = !A + !B
!(A+B) = !A * !B

18
Q

what Redundancy Boolean Algebra?

how many formulas

A
6
A + (A *B) = A
A(A+B) = A
(A * B) + (A * !B) = A
(A + B) * (A + !B) = A
A + (!A * B) = A + B
A * (!A + B) = A * B
19
Q

Write the 25 formulas for boolean algebra.

A
A + 0 = A
A + 1 = 1
A + !A = 1
A + A = A
(A + B) + C = A + (B + C)
A + B = B + A
A + (B * C) = (A + B) * (A + C)
A * 0 =0
A * 1 = A
!A * A = 0
A * A = A 
(A * B) * C = A * (B * C)
A * B = B * A
A * (B + C) = A * B + A * C
!1 = 0
!0 = 1
!!A = A
!(A*B) = !A + !B
!(A+B) = !A * !B
A + (A *B) = A
A(A+B) = A
(A * B) + (A * !B) = A
(A + B) * (A + !B) = A
A + (!A * B) = A + B
A * (!A + B) = A * B