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NUMBER SYSTEM. How to convert hexadecimal numbers to decimal numbers? 230 Working from right to left, MULTIPLY each position with 8 raised to the power.

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Presentation on theme: "NUMBER SYSTEM. How to convert hexadecimal numbers to decimal numbers? 230 Working from right to left, MULTIPLY each position with 8 raised to the power."— Presentation transcript:

1 NUMBER SYSTEM

2 How to convert hexadecimal numbers to decimal numbers? 230 Working from right to left, MULTIPLY each position with 8 raised to the power of 0, 1,2, and so on… 16 0 16 1 16 2 116256 048512 Which is equal to Add all of these and you will get 8960. Hence, 230 16 = 560 Multiplied to each digit becomes

3 SOME EXERCISES: Hexa to Decimal 1.2E 2.76 3.A1 4.AAA 5.B2 1.46 2.118 3.161 4.2730 5.178

4 SOME EXERCISES: Hexa to Decimal 1.25C 2.A55 3.359 4.152F 5.745

5 SOME EXERCISES: Hexa to Decimal 1.604 2.2645 3.857 4.5423 5.1861

6 CONVERSIONS  Decimal to Binary  Decimal to Octal  Decimal to Hexadecimal

7 EXERCISES: Decimal to Binary 1.55 2.40 3.18 4.25 5.10 1.110111 2.101000 3.10010 4.11001 5.1010

8 EXERCISES: Decimal to Octal 1.50 2.456 3.82 4.312 5.38 1.62 2.710 3.122 4.470 5.46

9 EXERCISES: Decimal to Hexadecimal 1.845 2.60 3.450 4.160 5.320 1.34D 2.3C 3.1C2 4.A0 5.140

10 EXERCISES: Decimal to Hexadecimal 1.955 2.80 3.335 4.224 5.199 1.3BB 2.50 3.14F 4.E0 5.C7

11 CONVERSIONS  Binary to Octal  Binary to Hexadecimal  Octal to Binary  Hexadecimal to Binary

12 EXERCISES: Binary to Octal 1.1110101 2.1010111 3.1000011 4.101111 5.101101 1.165 2.127 3.103 4.57 5.55

13 EXERCISES: Binary to Hex 1.11101011 2.10111001 3.10011011 4.10111011 5.10101010 1.EB 2.B9 3.9B 4.BB 5.AA

14 Convert the ff.: 1.256 10 = _____ 8 = _____ 2 2. 480 10 = _____ 8 = ____ 2 3. 325 10 = _____ 16 = ____ 2 4. 451 10 = _____ 16 = _____ 2 5.555 10 = _____ 16 = _____ 2

15 Convert the ff.: 1.256 10 = 400 8 = 100000000 2 2. 480 10 = 740 8 = 111100000 2 3. 325 10 = 145 16 = 101000101 2 4. 451 10 = 1C3 16 =111000011 2 5.555 10 = 22B 16 =1000101011 2


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