NUMBERBASES PRINT.doc

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1.2 Number in base two

1.2.1 State the value of a digit of a number in base two.

Exercises :

1. 11002 2. 1101102

3. 1000102 4. 11101002

5. 1001002 6. 10111112

7. 101111102 8. 111101102

9. 101011002 10. 10001111002

1.2.2 Conversion of numbers in base two to the number in base ten.

Exercises :

1. 1012 2. 11012

3. 11002 4. 11102

5. 10112 6. 11012

7. 101102 8. 110112

9. 1011102 10. 1110002

11

.

11001112 12. 10100112

13

.

101011012 14. 111011012

1.2.3 Conversion of numbers in base ten to the number in base two.

Exercises :

1. 1610 2. 2910

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3. 3410 4. 3910

5. 4410 6. 4710

7. 5510 8. 6810

9. 8710 10. 9410

11. 10110 12. 11710

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1.3 Number in base eight

1.3.1 State the value of a digit of a number in base eight.

Exercises :

1. 158 2. 248

3. 618 4. 1458

5. 3278 6. 3268

7. 25168 8. 34048

9. 16258 10. 46138

1.3.2 Conversion of numbers in base eight to the number in base ten.

Exercises :

1. 238 2. 348

3. 638 4. 718

5. 1248 6. 1568

7. 2708 8. 3748

9. 2058 10. 2728

11

.

3168 12. 3658

13

.

5138 14. 6528

1.3.3 Conversion of numbers in base ten to the number in base eight.

Exercises :

1. 2610 2. 4910

3. 6410 4. 9910

5. 14410 6. 54710

7. 1910 8. 2410

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9. 5710 10. 6410

11

.

12110 12. 21710

1.4 Number in base five

1.4.1 State the value of a digit of a number in base five.

Exercises :

1. 145 2. 235

3. 325 4. 445

5. 1015 6. 1245

7. 2405 8. 12125

9. 32045 10. 42215

1.4.2 Conversion of numbers in base five to the number in base ten.

Exercises :

1. 135 2. 205

3. 315 4. 425

5. 2115 6. 3025

7. 31105 8. 43215

9. 125 10. 215

11

.

1045 12. 2305

13

.

22345 14. 42135

1.4.3 Conversion of numbers in base ten to the number in base five.

Exercises :

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1. 1610 2. 2910

3. 7710 4. 8510

5. 14410 6. 44710

7. 5610 8. 7810

9. 8710 10. 10410

11

.

20110 12. 31710

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1.5 Conversion of number in certain base to a number in another base.

1.5.1 Conversion of number in base two to the number in base eight.

1.

11012 2. 10012

3. 110012 4. 110112

5. 1001112 6. 1110102

7. 11011112 8. 11010002

9. 100111012 10 111101102

11 1001110112 12 10011101102

13 100111011012 14 1101010100112

1.5.2 Conversion of number in base eight to the number in base two.

1. 258 2. 368

3. 518 4. 2028

5. 5368 6. 6438

7. 12358 8. 25718

9. 32248 10 60478

11 25508 12 51018

13 710018 14 562218

1.5.3 Conversion of number in base five to the number in base two.

Exercises :

1. 235 2. 435

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3. 1345 4. 2125

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5. 3015 6. 4235

1.5.4 Conversion of number in base five to the number in base eight.

Exercises :

1. 135 2. 335

3. 1245 4. 2215

5. 3105 6. 4135

1.5.5 Conversion of number in base two to the number in base five.

Exercises :

1. 1012 2. 11102

3. 110112 4. 101102

5. 1110112 6. 1011112

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1.5.6 Conversion of number in base eight to the number in base five.

Exercises :

1. 178 2. 338

3. 1748 4. 2218

5. 5108 6. 7138

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1.5.7 Perform computations involving addition of two numbers in base two.

Exercises :

1. 1012 + 1102 2. 1112 + 11012

3. 101002 + 110112 4. 101102 + 11012

5. 1110112 + 101012 6. 1011112 + 101002

1.5.8 Perform computations involving subtraction of two numbers in base two.

Exercises :

1. 1012 - 102 2. 1112 - 1012

3. 101002 - 10112 4. 111102 - 101012

5. 1110112 - 1101012 6. 1101002 -1011112

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Objective Questions.

1. State the value of underlined digit in the in

the number .0101110 2A A4

B 8C 16

D 32

2. State the value of underlined digit in the

number .24031 5

A A75

B 375C 1875

D 3

3. Express 2110111 as a number in base

ten.

A A1310B 3110C 5510D 11010

4. Express 1548 as a number in base ten.A A8010B 10810

C 86410D 192510

5. Express 4235 as a number in baseten.

A A84610B 42310C 11310D 76510

6. Express 12610 as a number in base two.

A A1111102B 11101102

C 11111102D 11111112


eight.

A A5448B 4288C 27428D 65448

8. Express 93210 as number in base

five.A 1435B 2125C 22125D 122125


eight.A A268B 328C 1228D 11018

10. Express 10 110 1012 as a number in base

eight.A 2358B 2648C 2658D 5518

11 Express 4028 as a number in base two.

A A1100102B 1100100102C 10000102D 1000000102

12 Express 101102 as a number in base five.

A 225B 425C 445D 40445

13 Express 4135 as a number in base two.

A A10010112B 100001011

C 1011002D 11011002

14 Express 5468 as a number in base five.A A3345B 4135C 24135D 3415

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155Express 7( 82 ) + 5 as a number in base two.A A111000112B 110001012C 11101012D 1110001012

16 Express 27 + 22 + 1 as a number in base

eight.A A198

B 1338C 2058D 7208

17 Express 10 110 1012 as a number in base

eight.A 2358B 2648C 2658D 5518

18 Express 53 + 4 as a number in base five.A 1045B 3045C 10045D 30045

19 If y5 = 110 1112 , then y =

A 205B 515C 1605D 2105

20 If 20008 = x 10 which is x is integer, find

the value of x.A A1600

B 2500

C 1024

D 8192

21. If x5 = 758 , then x =

A 61B 211

C 221

D 111 101

22Given that 85210 111111 ++=x , find

the value of x.

A A15

B 16C 17

D 18

23 If035

2 222 ++=x , then x =

A A101 0002B 101 0012C 110 0012D 110 0112

24. 100102 + 1112 =

A A111012B 110012C 101012D 100012

25. Given that x2 = 1012 + 1015 , find thevalue of x.

A 11112B 10 1112C 11 1112D 101 1112

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PAST YEAR QUESTIONS

SPM 2003(Nov)

1. Express 11010101 2 as a number in base eight

A. 651 8 C. 8325

B. 8625 D. 8221

2. =+ 22 111011101

A. 2100011 C. 2101111

B. 2111001 D. 2101011

SPM 2004(Nov)

1. Express 353+ as a number in base five

A. 5103 C. 51003

B. 5303 D. 53003

2. =+ 22 11111011

A. 2100010 C. 2110011

B. 2101100 D. 2111101

SPM 2004(July)

3. What is the value of the digit 3, in base ten, in the number 3728?

A. 48 C. 192

B. 64 D. 512

4. Convert 22 + 2(23 + 1) to a number in base eight

A. 158 C. 228C. 268 D. 628

5. 110112 1012 =A. 10102 C. 101102B. 11102 D. 100102

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SPM 2005(Nov)

1. = 22 1011110001

A. 2100100 C. 2111010

B. 2100110 D. 2111100

2. What is the value of the digit 2, in base ten, in the number 53241 ?

A. 25 C. 200

B. 50 D. 250

SPM 2005(July)

3. 100102 - 11012 =

A. 1012 C. 10112B. 1112 D. 11112

4. Express 11101002 as a number in base eight

A. 1218 C. 4618B 1648 D 7208

SPM 2006(July)

1. It is given that k10 = 1100012, where kis an integer. Find the value ofk.

A. 48 C. 97B. 49 D. 98

2. 1012 + 10012 =

A. 11102 C. 100002B. 11002 D. 100112

Number Bases

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