Home > College Algebra calculators

Educational Level Secondary school, High school and College
Program Purpose Provide step by step solutions of your problems using online calculators (online solvers)
Problem Source Your textbook, etc

1. Addition, Subtraction, Multiplication, Division of two numbers
1. Addition, Subtraction, Multiplication, Division of two numbers in Decimal
2. Addition, Subtraction, Multiplication, Division of two numbers in Binary
3. Addition, Subtraction, Multiplication, Division of two numbers in Octal
4. Addition, Subtraction, Multiplication, Division of two numbers in HexaDecimal
5. Addition, Subtraction, Multiplication, Division of two numbers in Other (Eg: Base=6)
2. One Base to Other Base Conversion
1. Decimal to Binary
2. Decimal to Octal
3. Decimal to Hexadecimal
4. Binary to Decimal
5. Binary to Octal
6. Binary to Hexadecimal
7. Octal to Decimal
8. Octal to Binary
9. Octal to Hexadecimal
10. Hexadecimal to Decimal
11. Hexadecimal to Binary
12. Hexadecimal to Octal
13. Decimal to Other
14. Other to Decimal
15. Other to Other
3. 1's, 2's, 7's, 8's, 9's, 10's, 15's, 16's complement subtraction method
1. 1's complement subtraction method
2. 2's complement subtraction method
3. 7's complement subtraction method
4. 8's complement subtraction method
5. 9's complement subtraction method
6. 10's complement subtraction method
7. 15's complement subtraction method
8. 16's complement subtraction method
4. Matrix Algebra
5. Numerical Methods
6. Statistical Methods
7. Operation Research (OR)
8. Mathematical Logic, truth tables, logical equivalence
9. Boolean Algebra
In Decimal
1. Find addition of 2760 and 796
1 1
2 7 6 0
+ 0 7 9 6

3 5 5 6
2. Find Subtraction of 2760 and 796

16 15
1 6 5 10
2 7 6 0
- 0 7 9 6

1 9 6 4
3. Find multiplication of 2760 and 796
2760
× 796

1932000
248400
16560

2196960
4. Find division of 276 and 6

  
46
  
  
  
6|
276
  
 |
24 
  
 |
  
 |
36
  
 |
36
  
 |
  
 |
0
  

 
Here, Divisor = 6
Dividend = 276
Quotient = 46
Remainder = 0
In Binary
1. Find addition of (1001)2 and (101)2

1
1 0 0 1
+ 0 1 0 1

1 1 1 0
Find Subtraction of (1001)2 and (101)2

0 2
1 0 0 1
- 0 1 0 1

0 1 0 0
3. Find multiplication of (1001)2 and (101)2

1001
× 101

100100
00000
1001

101101
4. Find division of (1001)2 and (101)2

  
1
  
  
  
101|
1001
  
 |
101
  
 |
  
 |
100
  

 
Here, Divisor = 101
Dividend = 1001
Quotient = 1
Remainder = 100
 
In Octal
1. Find addition of (321)8 and (47)8

1
3 2 1
+ 0 4 7

3 7 0
2. Find Subtraction of (321)8 and (47)8

9
2 1 9
3 2 1
- 0 4 7

2 5 2
3. Find multiplication of (321)8 and (47)8

321
× 47

15040
2667

17727
4. Find division of (321)8 and (7)8

  
35
  
  
  
7|
321
  
 |
25 
  
 |
  
 |
51
  
 |
43
  
 |
  
 |
6
  

 
Here, Divisor = 7
Dividend = 321
Quotient = 35
Remainder = 6
In HexaDecimal
1. Find addition of (F34B9)16 and (63C)16

1
F 3 4 B 9
+ 0 0 6 3 C

F 3 A F 5
2. Find Subtraction of (F34B9)16 and (63C)16

2 20 10 25
F 3 4 B 9
- 0 0 6 3 C

F 2 E 7 D
3. Find multiplication of (F34B9)16 and (63C)16

F34B9
× 63C

5B3C5600
2D9E2B0
B678AC

5ECCB15C
4. Find division of (F34B9)16 and (3C)16

  
40E0
  
  
  
3C|
F34B9
  
 |
F0   
  
 |
  
 |
34  
  
 |
0  
  
 |
  
 |
34B 
  
 |
348 
  
 |
  
 |
39
  
 |
0
  
 |
  
 |
39
  

 
Here, Divisor = 3C
Dividend = F34B9
Quotient = 40E0
Remainder = 39
 
In Other (Eg: Base=6)
1. Find addition of (343)6 and (234)6

1 1 1
3 4 3
+ 2 3 4

1 0 2 1
2. Find Subtraction of (343)6 and (234)6

3 9
3 4 3
- 2 3 4

1 0 5
3. Find multiplication of (343)6 and (234)6

343
× 234

113000
15130
2300

134430
4. Find division of (343)6 and (5)6

  
43
  
  
  
5|
343
  
 |
32 
  
 |
  
 |
23
  
 |
23
  
 |
  
 |
0
  

 
Here, Divisor = 5
Dividend = 343
Quotient = 43
Remainder = 0
 
1. Decimal to Binary
(42)10 = (__________)2
(124)10 = (__________)2
(24.625)10 = (__________)2
(42.5)10 = (__________)2

1. Convert Decimal number (42)10 to Binary number

(42)10 = (_______)2

2|42|  





  
2|21|0 





 
2|10|1 





 
2|5|0 





 
2|2|1 





 
2|1|0 





 
|0|1 

∴ (42)10 = (101010)2
2. Decimal to Octal
(425)10 = (__________)8
(1425)10 = (__________)8
(3445.865)10 = (__________)8
(1423.25)10 = (__________)8

1. Convert Decimal number (425)10 to Octal number

(425)10 = (_______)8

8|425|  





  
8|53|1 





 
8|6|5 





 
|0|6 

∴ (425)10 = (651)8
 
3. Decimal to Hexadecimal
(1423)10 = (__________)16
(42356)10 = (__________)16
(4234.456)10 = (__________)16
(1234.567)10 = (__________)16

1. Convert Decimal number (1423)10 to Hexadecimal number

(1423)10 = (_______)16

16|1423|  





  
16|88|F 





 
16|5|8 





 
|0|5 

∴ (1423)10 = (58F)16
4. Binary to Decimal
(110101001)2 = (__________)10
(1100111101)2 = (__________)10
(11010.1001)2 = (__________)10
(11011.101001)2 = (__________)10

1. Convert Binary number (110101001)2 to Decimal number

(110101001)2 = (_______)10

110101001
= 1 × 20 + 0 × 21 + 0 × 22 + 1 × 23 + 0 × 24 + 1 × 25 + 0 × 26 + 1 × 27 + 1 × 28
= 1 × 1 + 0 × 2 + 0 × 4 + 1 × 8 + 0 × 16 + 1 × 32 + 0 × 64 + 1 × 128 + 1 × 256
= 425
∴ (110101001)2 = (425)10
 
5. Binary to Octal
(11011001)2 = (__________)8
(11110101001)2 = (__________)8
(111101.01001)2 = (__________)8
(11110101.00101001)2 = (__________)8

1. Convert Binary number (11011001)2 to Octal number

(11011001)2 = (_______)8


011 011 001
3 3 1

∴ (11011001)2 = (331)8
6. Binary to Hexadecimal
(11110101001)2 = (__________)16
(111101010110001)2 = (__________)16
(11110.101001)2 = (__________)16
(111101.1101001)2 = (__________)16

1. Convert Binary number (11110101001)2 to Hexadecimal number

(11110101001)2 = (_______)16


0111 1010 1001
7 A 9

∴ (11110101001)2 = (7A9)16
 
7. Octal to Decimal
(1534)8 = (__________)10
(12340)8 = (__________)10
(127.32)8 = (__________)10
(432.12)8 = (__________)10

1. Convert Octal number (1534)8 to Decimal number

(1534)8 = (_______)10

1534
= 4 × 80 + 3 × 81 + 5 × 82 + 1 × 83
= 4 × 1 + 3 × 8 + 5 × 64 + 1 × 512
= 860
∴ (1534)8 = (860)10
8. Octal to Binary
(4321)8 = (__________)2
(12345)8 = (__________)2
(123.45)8 = (__________)2
(7012.053)8 = (__________)2

1. Convert Octal number (4321)8 to Binary number

(4321)8 = (_______)2


4 3 2 1
100 011 010 001

∴ (4321)8 = (100011010001)2
 
9. Octal to Hexadecimal
(7012)8 = (__________)16
(123456)8 = (__________)16
(1234.567)8 = (__________)16
(703.056)8 = (__________)16

1. Convert Octal number (7012)8 to Hexadecimal number

First method
(7012)8 = (_______)16

First Converting Base-8 to Base-2(7012)8 = (_______)2


7 0 1 2
111 000 001 010

∴ (7012)8 = (111000001010)2

Now Converting Base-2 to Base-16(111000001010)2 = (_______)16


1110 0000 1010
E 0 A

∴ (111000001010)2 = (E0A)16

∴ (7012)8 = (E0A)16

OR

Second method
(7012)8 = (_______)16

First Converting Base-8 to Base-10(7012)8 = (_______)10

7012
= 2 × 80 + 1 × 81 + 0 × 82 + 7 × 83
= 2 × 1 + 1 × 8 + 0 × 64 + 7 × 512
= 3594
∴ (7012)8 = (3594)10

Now Converting Base-10 to Base-16(3594)10 = (_______)16

16|3594|  





  
16|224|A 





 
16|14|0 





 
|0|E 

∴ (3594)10 = (E0A)16
∴ (7012)8 = (E0A)16
10. Hexadecimal to Octal
(FC3A)16 = (__________)8
(ABCD)16 = (__________)8
(1524.03)16 = (__________)8
(BCF.52A)16 = (__________)8

1. Convert Hexadecimal number (FC3A)16 to Octal number

First method
(FC3A)16 = (_______)8

First Converting Base-16 to Base-2(FC3A)16 = (_______)2


F C 3 A
1111 1100 0011 1010

∴ (FC3A)16 = (1111110000111010)2

Now Converting Base-2 to Base-8(1111110000111010)2 = (_______)8


001 111 110 000 111 010
1 7 6 0 7 2

∴ (1111110000111010)2 = (176072)8

∴ (FC3A)16 = (176072)8

OR

Second method
(FC3A)16 = (_______)8

First Converting Base-16 to Base-10(FC3A)16 = (_______)10

FC3A
= A × 160 + 3 × 161 + C × 162 + F × 163
= 10 × 1 + 3 × 16 + 12 × 256 + 15 × 4096
= 64570
∴ (FC3A)16 = (64570)10

Now Converting Base-10 to Base-8(64570)10 = (_______)8

8|64570|  





  
8|8071|2 





 
8|1008|7 





 
8|126|0 





 
8|15|6 





 
8|1|7 





 
|0|1 

∴ (64570)10 = (176072)8
∴ (FC3A)16 = (176072)8
 
11. Hexadecimal to Binary
(A35)16 = (__________)2
(BBA)16 = (__________)2
(1085.FB)16 = (__________)2
(FC.3A)16 = (__________)2

1. Convert Hexadecimal number (A35)16 to Binary number

(A35)16 = (_______)2


A 3 5
1010 0011 0101

∴ (A35)16 = (101000110101)2
12. Hexadecimal to Decimal
(7036)16 = (__________)10
(BCA)16 = (__________)10
(A0.36)16 = (__________)10
(100.35)16 = (__________)10

1. Convert Hexadecimal number (BCA)16 to Decimal number

(BCA)16 = (_______)10

BCA
= A × 160 + C × 161 + B × 162
= 10 × 1 + 12 × 16 + 11 × 256
= 3018
∴ (BCA)16 = (3018)10
 
13. Decimal to Other
(1536)10 = (__________)6
(5336)10 = (__________)14
(45236)10 = (__________)24
(155436)10 = (__________)18

1. Convert Decimal number (383)10 to Base 20 number (_______)20

(383)10 = (_______)20

20|383|  





  
20|19|3 





 
|0|J 

∴ (383)10 = (J3)20
14. Other to Decimal
(155436)7 = (__________)10
(BA012)12 = (__________)10
(GH012)20 = (__________)10
(1230321)4 = (__________)10

1. Convert (64X)35 means 64X where its Base 35 to Decimal number

(64X)35 = (_______)10

64X
= X × 350 + 4 × 351 + 6 × 352
= 33 × 1 + 4 × 35 + 6 × 1225
= 7523
∴ (64X)35 = (7523)10
 
1. 1's complement subtraction method
Find Subtraction of 10010 and 1101 using 1's complement method

10010 - 01101 = ??? using 1's Complement
1's Complement of 01101 = 10010
1 1
1 0 0 1 0
+ 1 0 0 1 0

1 0 0 1 0 0

Add carry...
0 0 1 0 0
+ 0 0 0 0 1

0 0 1 0 1

Final answer = 00101
2. 2's complement subtraction method
Find Subtraction of 10010 and 01101 using 2's complement method

10010 - 01101 = ??? using 2's Complement
2's Complement of 01101 = 10011
1 1
1 0 0 1 0
+ 1 0 0 1 1

1 0 0 1 0 1

Ignore carry...
Final answer = 00101
 
3. 7's complement subtraction method
Find Subtraction of 2120 and 543 using 7's complement method

2120 - 0543 = ??? using 7's Complement
7's Complement of 0543 = 7234
1
2 1 2 0
+ 7 2 3 4

1 1 3 5 4

Add carry...
1 3 5 4
+ 0 0 0 1

1 3 5 5

Final answer = 1355
4. 8's complement subtraction method
Find Subtraction of 2120 and 543 using 8's complement method

2120 - 0543 = ??? using 8's Complement
8's Complement of 0543 = 7235
1
2 1 2 0
+ 7 2 3 5

1 1 3 5 5

Ignore carry...
Final answer = 1355
 
5. 9's complement subtraction method
Find Subtraction of 96538 and 9250 using 9's complement method

96538 - 09250 = ??? using 9's Complement
9's Complement of 09250 = 90749
1 1 1
9 6 5 3 8
+ 9 0 7 4 9

1 8 7 2 8 7

Add carry...
8 7 2 8 7
+ 0 0 0 0 1

8 7 2 8 8

Final answer = 87288
6. 10's complement subtraction method
Find Subtraction of 96538 and 9250 using 10's complement method

96538 - 09250 = ??? using 10's Complement
10's Complement of 09250 = 90750
1 1
9 6 5 3 8
+ 9 0 7 5 0

1 8 7 2 8 8

Ignore carry...
Final answer = 87288
 
7. 15's complement subtraction method
Find Subtraction of E68D and 74E using 15's complement method

E68D - 074E = ??? using 15's Complement
15's Complement of 074E = F8B1
1 1
E 6 8 D
+ F 8 B 1

1 D F 3 E

Add carry...
D F 3 E
+ 0 0 0 1

D F 3 F

Final answer = DF3F
8. 16's complement subtraction method
Find Subtraction of E68D and 74E using 16's complement method

E68D - 074E = ??? using 16's Complement
16's Complement of 074E = F8B2
1 1
E 6 8 D
+ F 8 B 2

1 D F 3 F

Ignore carry...
Final answer = DF3F
 
 

 
Copyright © 2018. All rights reserved. Terms, Privacy