Number System – Conversion Reference-1: Link: http://cs.txstate.edu/~br02/cs1428/NumberSystems/ Reference-2: Link: http://www0.cs.ucl.ac.uk/staff/r.hirsch/teaching/maths/num_ans.pdf Reference-3: Link: http://east82.com/howto/ip_addressing/docs/Conversion_Worksheet.pdf

1. Convert Exercise – 1 1. 1. Decimal to binary: 27

75

164

255

11001

10000

94

1.2. Binary to decimal: 1

1010

2. Convert Exercise - 2 Binary to decimal 1. 11001011 6. 00000100

2. 00110101 7. 00010010

3. 10000011 8. 00111111

4. 10001111 9. 10101010

5. 11100011 10.01010101

2. 9 7. 6

3. 67 8. 1

4. 99 9. 197

5. 23 10.252

2. 11110001 7. 11101100

3. 00110001 8. 11111100

4. 11000010 9. 00111111

5. 10100100 10.00000011

2. 0xFA 7. 0xDD

3. 0x5D 8. 0xFE

4. 0x99 9. 0x22

5. 0x03 10.0x18

2. 21 7. 4

3. 9 8. 121

4. 75 9. 94

5. 188 10.201

2. 0xCC 7. 0xF1

3. 0x97 8. 0xFB

4. 0x40 9. 0x82

5. 0x07 10.0xE4

2.1 Decimal to binary 1. 213 6. 143

2.2 Binary to hex 1. 11001100 6. 10100111

2.3 Hex to binary 1. 0x45 6. 0x6B

2.4 Decimal to hex 1. 233 6. 56

2.5 Hex to decimal 1. 0x5A 6. 0x3D

3. Convert Exercise - 3 3.1 Binary to octal. 1. 111110110

2. 1000001

3. 10000010

4.1100010

3.2 Binary to hexadecimal 1.10101001

2. 11100111

3. 01101110

4. 01121111

3.3 Hexadecimal to octal. 1.

A9

2.

E7

3.

6E

3.

443

3.4 Octal to hexadecimal. 1.

777

2.

605

4.

521

5.

1

3.5 Decimal to octal. 1.

901

2.

321

3.

1492

4.

1066

5.

2001

3.6 Decimal to binary. 1.

45

2.

69

3.

1066

99

4.

5.

1

3.7 Decimal to hexadecimal. 1.

1066

2.

1939

3.

1

4.

998

4. Convert Exercise – 4 1) 68.5625 decimal to Binary: __________________ 2) 00111011.01 binary to Decimal: _________________ 3) 10010101.111 binary to Decimal: __________________ 4) 11000011.01 binary to Decimal: 5) 38.4 decimal to Binary:

_________________

_________________

6) 252.33 decimal to Binary: ___________________ 7) 11001010.001 binary to Decimal: __________________ 8) 110111.1101 binary to Decimal:

_________________

9) 1110.001 binary to Decimal: __________________ 10) 43.625 decimal to Binary ___________________

5. Convert Exercise – 5 1. 568.1875 decimal to binary: __________________ 2. 100111011.01 binary to decimal: __________________ 3. 111111.1111 binary to decimal: _________________ 4. 11111000011.01 binary to decimal: __________________ 5. 3138.4 decimal to binary: __________________ 6. 6143.3175 decimal to binary: __________________ 7. 11001110.1001 binary to decimal: __________________ 8. 1000100101.111 binary to decimal: __________________ 9. 1000110111110.001 binary to decimal: __________________ 10. 639.13 decimal to binary: __________________

5.

43

Answer 1. Exercise -1: 1.

decimal 27 75 164 255 94

2.

binary 1 1010 11001 10000

binary 11011 1001011 10100100 11111111 1011110 decimal 1 10 25 16

2. Exercise –2: Binary to decimal 1. 11001011 – 203 4. 10001111 – 143 7. 00010010 – 18 10.01010101 – 85 Decimal to binary 1. 213 – 11010101 4. 99 – 01100011 6. 6 – 00000110 8. 252 – 11111100 Binary to hex 1. 11001100 – 0xCC 4. 11000010 – 0xC2 7. 11101100 – 0xEC 10.00000011 – 0x03 Hex to binary 1. 0x45 – 01000101 4. 0x99 – 10011001 7. 0xDD – 11011101 10.0x18 – 00011000 Decimal to hex 1. 233 – 0xE9 4. 75 – 0x4B 7. 4 – 0x04 9. 201 – 0xC9 Hex to decimal 1. 0x5A – 90 4. 0x40 – 64 7. 0xF1 – 241 10.0xE4 – 228

2. 00110101 – 53 5. 11100011 – 227 8. 00111111 – 63

3. 10000011 – 131 6. 00000100 – 4 9. 10101010 – 170

1. 9 – 00001001 5. 23 – 00010111 7. 1 – 00000001

3. 67 – 01000011 5. 143 – 10001111 8. 197 – 11000101

2. 11110001 – 0xF1 5. 10100100 – 0xA4 8. 11111100 – 0xFC

3. 00110001 – 0x31 6. 10100111 – 0xA7 9. 00111111 – 0x3F

2. 0xFA – 11111010 5. 0x03 – 00000011 8. 0xFE – 11111110

3. 0x5D – 01011101 6. 0x6B – 01101011 9. 0x22 – 00100010

2. 21 – 0x15 5. 188 – 0xBC 7. 121 – 0x79

3. 9 – 0x09 6. 56 – 0x38 8. 94 – 0x5E

2. 0xCC – 204 5. 0x07 – 7 8. 0xFB – 251

3. 0x97 – 151 6. 0x3D – 61 9. 0x82 – 130

2. 1000001 - 101

3. 10000010 - 202

3. Convert Exercise -3: 3.1 Binary to octal. 1. 111110110 – 766 4. 1100010 – 142

3.2 Binary to hexadecimal. 1. 10101001 - A9 2. 11100111 - E7 4. 01121111 - This is not a binary number 3.3 Hexadecimal to octal. 1. A9 - 251

2.

E7 – 347

3.4 Octal numbers to hexadecimal. 1. 777 - 1FF 2. 605 – 185 4. 521 - 151 5. 1 – 1 3.5 Decimal numbers to octal. 1. 901 - 1605 2. 4. 1066 – 2052 5.

3.7 Decimal numbers to hexadecimal. 1. 1066 - 42A 2. 1939 – 793 4. 998 - 3E6 5. 43 - 2B 4. Convert Exercise -4: 1) binary 1000100.1001 2) decimal 59.25 3) decimal 55.8125 4) decimal 195.25 5) binary 100110.0110011 6) binary 101011.101 7) decimal 14.125 8) decimal 149.875 9) decimal 202.125 10) binary 11111100.010101

5. Convert Exercise – 5 1. 568.1875 decimal to binary 1000111000.0011 2. 100111011.01 binary to decimal 315.25 3. 111111.1111 binary to decimal 63.9375 4. 11111000011.01 binary to decimal 1987.25 5. 3138.4 decimal to binary 110001000010.0110011 6. 6143.3175 decimal to binary 1011111111111.01010001 11001110.1001 binary to decimal 206.5625

8. 1000100101.111 binary to decimal 549.875 9. 1000110111110.001 binary to

decimal 4542.125

10. 639.13 decimal to binary 1001111111.00100001

01101110 - 6E

3.

6E - 156

3.

443 – 123

321 – 501 2001 – 3721

3.6 Decimal numbers to binary. 1. 45 – 101101 2. 69 – 1000101 4. 99 – 1100011 5. 1 – 1

7.

3.

3.

3.

3.

1492 – 2724

1066 – 10000101010

1 – 1