Question

.Convert number 117 and 225 to binary number.
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Answer 1

Explanation:

11100001

225 in binary is 11100001. To find decimal to binary equivalent, divide 225 successively by 2 until the quotient becomes 0.

Answer 2

(225)10 = (11100001)2

Step by step solution

Step 1: Divide (225)10 successively by 2 until the quotient is 0:

225/2 = 112, remainder is 1

112/2 = 56, remainder is 0

56/2 = 28, remainder is 0

28/2 = 14, remainder is 0

14/2 = 7, remainder is 0

7/2 = 3, remainder is 1

3/2 = 1, remainder is 1

1/2 = 0, remainder is 1

Step 2: Read from the bottom (MSB) to top (LSB) as 11100001.

So, 11100001 is the binary equivalent of decimal number 225 (Answer).

(117)10 = (1110101)2

Step by step solution

Step 1: Divide (117)10 successively by 2 until the quotient is 0:

117/2 = 58, remainder is 1

58/2 = 29, remainder is 0

29/2 = 14, remainder is 1

14/2 = 7, remainder is 0

7/2 = 3, remainder is 1

3/2 = 1, remainder is 1

1/2 = 0, remainder is 1

Step 2: Read from the bottom (MSB) to top (LSB) as 1110101.

So, 1110101 is the binary equivalent of decimal number 117 (Answer).