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Convert the following decimal values into binary (a) 141 (b) 207 (c) 144

User Mikestew
by
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1 Answer

5 votes

Answer:

a)
(141)_(10)=(10001101)_2

b)
(207)_(10)=(11001111)_2

c)
(144)_(10)=(10010000)_2

Explanation:

We need to convert decimal value in binary value

So Follow the below steps

Keep on dividing the decimal values by 2 until the denominator becomes 0 or 1.

a)

Decimal value Quotient Remainder

141 70 1

70 35 0

35 17 1

17 8 1

8 4 0

4 2 0

2 1 0

1 0 1

Now write remainder from bottom to up 10001101.


(141)_(10)=(10001101)_2

10 base is called decimal value and base 2 is called binary value.

b)

Decimal value Quotient Remainder

207 103 1

103 51 1

51 25 1

25 12 1

12 6 0

6 3 0

3 1 1

1 0 1

Now write remainder from bottom to up 11001111.


(207)_(10)=(11001111)_2

c)

Decimal value Quotient Remainder

144 72 0

72 36 0

36 18 0

18 9 0

9 4 1

4 2 0

2 1 0

1 0 1

Now write remainder from bottom to up 10010000.


(144)_(10)=(10010000)_2

User Robin Gertenbach
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