bilangan tut 1

MAT 1113
TUTORIAL 1

1. Perform the following arithmetic in binary and give your final answer in denary .
1010.10102 + 16.168 +88.8816 - 10010

2. What is the BASE(n) of the number system where 260n = 17610.

3. Rewrite each term of the expression into binary and perform the arithmetic. Present the final answer in decimal.

4. Rewrite each of the terms of the expression
76.548 – 110010.10012 + A9C.3B16
in binary and simplify the expression. Convert your final answer to OCTAL and HEXADECIMAL.

5. Convert the following :
B0016 + 1F16 to base 2

6. Convert
( i ) 457 to Hexadecimal
( ii ) 10111102 – 11012 to Octal

7. Convert B2.5D6 hexadecimal to binary.

8. Showing all the working , convert
( i ) 10110 denary to octal
( ii ) 10110 binary to octal

9. By showing all the working , convert the following into binary and add them together .
15D.0116 + 36.1258 + 10110

10. If K = 1001001.0102 – 10010.1012 , express K as an octal number .

11. Find the binary sum
( i ) 1101 + 111 ( ii ) 110011 + 11101
( iii ) 1010.01 + 110.11 ( iv ) 11011.01 + 101.1101

12. Find the binary products
( i ) 1100111 x 11 ( ii ) 111011 x 1011
( iii ) 11.101 x 11.01



13. Find the binary differences
( i ) 1100011 – 110111 ( ii ) 10101010 – 110011
( iii ) 110.001 – 11.111 (iv) 11010 – 01001

14. Find the binary quotients
( i ) 1011011 111 ( ii ) 100.0001 10.1
( iii ) 1011 11

15. Perform the following arithmetic and give your final answer in decimal .
7E16 + 8B16

16. What is the value of P in denary when
P + 11100102 = 111000102

17. Perform the following arithmetic in binary and give your final answer in hexadecimal
99.116 – 1111.012 + 77.18 – 60.510

18. Perform the following arithmetic in binary , and convert your final answer in decimal.
52.18 + 2A116 - 2410

19. Given that X = 100111.112 + 0.12510 + 36.18, find
( i ) X as a denary number
( ii ) X as a octal number

20. If 10000010012 = 2x+5 + 23 + 1, find the value of x.

21. Given that 48a + 81b = 27 + 25 + 24 + 20 , find the possible value of a and b.

22. Convert 111101 BINARY to OCTAL.

23. If , find the value of x.

24. Perform the following arithmetic in binary and give your final answer in denary.
11116 + 1112 – 1118 - 11110

25. Perform the following arithmetic in binary and give your final answer in hexadecimal.
106.1616 – 100.0012 + 35.538 - 8810

26. Convert 0.437510 to octal .

27. Perform the following arithmetic in binary and give your final answer in denary .
10010 – 1002 + 1008 + 10016



28. Convert the numbers and to binary. Hence, perform the following arithmetic in binary and convert the final answer into denary:
(i) +
(ii) -

29. Rewrite each term of the expression 210.625 – 76.358 + 3AD.F516 into binary and perform the arithmetic. Present the final answer in decimal.

30. Perform the following arithmetic in binary and give your final answer in octal system.
B598.416 – 10101.1012 + 637.58 – 43.7510

ANSWER :
1. 93.375
3. 63935.35938
4. 5250.2668 , AA8.5B16
5. 1011000111112
6. ( i ) 1C916 ( ii ) 1218
7. 10110010.0101110101102
8. ( i ) 235768 ( ii ) 268
9. 111100000.0010101112
10. 66.58
11. ( i ) 10100 ( ii ) 1010000
( iii ) 10001.00 ( iv ) 100001.0001
12. ( i ) 100110101 ( ii ) 1010001001 ( iii ) 1011.11001
13. ( i ) 101100 ( ii ) 1110111 ( iii ) 10.010
14. ( i ) 1101 ( ii ) 1.101 ( iii ) 11.101010…
15. 265
17. 8C.716
18. 691.125
25. C7.A216
27. 416
28. (i) 198.9062 (ii) 147.3125
29. 1090.128906
30. 133366.48