The Binary Number System (Class-8, Experience- 9) - Active Math Class

NCTB Math Solution (English Version)

The Binary Number System (Class-8, Experience- 9)

[Exercise- page 205]


E.9.1. Convert the following Binary numbers to decimals. 


i) 010101 


ii) 110011 


iii) 100011 


iv) 101000 


v) 101100 


vi) 001100.101 


vii) 010010.111 


viii) 0010111111.11


Solution:

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E.9.2. Convert the following decimal numbers to Binary numbers. 


i) 6 


ii) 19 


iii) 56 


iv) 129 


v) 127 


vi) 96 


vii) 25 


viii) 200


Solution:

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E.9.3. Find the sum of the following numbers. 


i) 101111 + 101101 


ii) 10101 + 100010 


iii) 1010101 + 1000001


Solution:

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E.9.4. Find the sum of the following numbers converting decimal to Binary. 


i) 6 + 19 


ii) 10 + 32 


iii) 56 + 16 


iv) 127 + 127


Solution:

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E.9.5. Find the subtraction of the following Binary numbers. 


i) 1001 - 101 


ii) 11001 - 1011 


iii) 1010010 - 111011


Solution:

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E.9.6. Determine 10’s complement of the following decimal numbers. 


i) 2351 


ii) 90152 


iii) 10003 


iv) 9999


Solution:

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E.9.7. Subtract using complement of the following decimal numbers. 


i) 43101 - 5032 


ii) 70081 - 6919 


iii) 2173901 - 5835


Solution:

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E.9.8. Determine 2’s complement of the following binary numbers. 


i) 1111 


ii) 1011001 


iii) 1010101 


iv) 1000001


Solution:

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E.9.9. Subtract using complement of the following binary numbers. 


i) 11001 - 1001 


ii) 100101 - 10011 


iii) 11000101 - 101101


Solution:

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E.9.10. Multiply converting decimal to Binary of the following decimal numbers. 


i) 18 × 6 


ii) 32 × 23 


iii) 21 × 7 


iv) 59 × 18 


v) 118.2 × 46 


vi) 180.50 × 65 


vii) 192 × 22 


viii) 111 × 101


Solution:

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E.9.11. Divide converting decimal to Binary of the following decimal numbers. 


i) 16 ÷ 4 


ii) 34 ÷ 17 


iii) 15 ÷ 3 


iv) 99 ÷ 99 


v) 157 ÷ 46 


vi) 180 ÷ 69 


vii) 192 ÷ 22 


viii) 111 ÷ 101


Solution:

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