Conversion: Number Systems

Conversion: Number Systems

Convert Binary to Decimal

32 16 8 4 2 1

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Decimal to Binary

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Binary to Hex

Group the binary into 4 bits (nibble)

Convert the nibble to decimal

Convert decimal to hex

10-> A

11->B

12->C

13->D

14 ->E

15 -> F

11001100

1100   1100

 12       12

  C         C

1111011111100

0001  1110  1111   1100

  1        14     15     12

  1         E     F        C

Hex to Binary

1.) Hex values - Decimal digits

10 A-------11 B-------12 C -------13 D

2.) Group into 4

3.) 8 4 2 1

4.) Write 0 and 1

4  F  A

4  15  10

8421 8421 8421

0100 1111 1010

9  D  B  2

9  13  11  2

8421 8421 8421 8421

1001  1101  1011  0010

Hex to Decimal

Hex values - Decimal digits

10 A-------11 B-------12 C -------13 D

(value * 16²) + (value * 16¹) + (value * 16⁰)

7 D E

7 ------------13------------ 14

(7 * 16²) +  (13 * 16¹) +  (14 * 16⁰)

1792     +   208   +   14

= 2014

1 D 9

1 ------------13------------ 9

(1 * 16²) +  (13 * 16¹) +  (9 * 16⁰)

256 + 208 + 9

= 473