Page 34 - Math 7

Number Systems in Diff erent Bases

10 = ?
11 = ?

12 = ?
13 = 1101 2

14 = ?
15 = 1111 2

3. a) Let's say and write the binary values of these powers of twos.
2
3
2° = 1, 2 = 10, 2 = ................, 2 = 1000, 2 = ..................
1
4
b) Let's say and write the quinary values of these powers of fives.
5° = 1, 5 = 10, 5 = ................., 5 = .................. , 5 = .................
1
2
4
3
Creative section - A
4. Let's convert each of the following binary numbers into decimal number.
a) 11 2 b) 101 2 c) 110 2 d) 1010 2 e) 1100 2
f) 10010 g) 11111 h) 111010 i) 111001 j) 1100101
2 2 2 2 2
5. Let's convert each of the following decimal numbers into binary numbers .
a) 7 b) 18 c) 25 d) 72 e) 99
f) 124 g) 145 h) 216 i) 308 j) 417
6. Let's convert each of the following quinary numbers into decimal numbers.
a) 13 5 b) 24 5 c) 32 5 d) 120 e) 203
5
5
f) 340 g) 1203 h) 2113 i) 1234 j) 4444
5 5 5 5 5
7. Let's convert each of the following decimal numbers into quinary numbers.
a) 9 b) 13 c) 27 d) 55 e) 126
f) 212 g) 512 h) 670 i) 1126 j) 4025

Creative section - B
8. Let's convert each of the binary numbers into quinary numbers and quinary
number into binary number.
a) 1110 2 b) 11011 2 c) 34 5 d) 42 5
9. Lets change each pair of numbers in denary numbers and compare them.
a) 111 and 12 5 b) 10101 and 32 5
2
2
It's your time - Project work!
10. Let's learn with fun to convert a decimal number in to binary system.
Process 1: If the given decimal number is even, write zero (0) just below it. If it is
odd, write 1 just below it.
Process 2: Now divide the given number into half and write to the left of the
number.

Vedanta Excel in Mathematics - Book 7 32 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur