Question

Convert binary numbers (a) 10101 and (b) 1111 to octal

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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

a) 10101 = 2⁴×1 + 0×2³+ 1×2² + 0× 2¹ + 1×2⁰ = 16+4+1 = 21

b)1111 = 2³×1 + 2²×1 + 2¹×1 +2⁰×1 = 8+4+2+1 = 15

octal :

group 3 bits from left and find decimal equivalent of each of 3 bits, that is answer

a) 10 101

2¹×1+2⁰×0 2²×1 +0×2 +1×2⁰

= 2 =4+1= 5

25

decimal to octal:

8 | 21

8 | 2 - 5

8 | 0 - 2

21 = 25 in octal system

b) 1 111

2⁰×1 2²×1+ 2¹×1 +2⁰×1 = 4+2+1

=1 =7

17

decimal to octal:

8| 15

8| 1 - 7

8| 0- 1

15 = 17 in octal system