Question

Convert (259)10 to binary form.

Answer 1

Answer:

Explanation:

500 in binary

Answer 2

Binary number will be - 100000011

To convert decimal number into binary, the number is divided by 2.

The remainder which 1 or 0 is written aside.

The quotient is further divided by 2 until 0 number is obtained.

Working is shown as follows-

259/2 = 129 Quotient and 1 remainder.

129/2 = 64 quotient and 1 remainder.

64/2 = 32 quotient and 0 remainder.

32/2 = 16 quotient and 0 remainder.

16/2 = 8 quotient and 0 remainder.

8/2 = 4 quotient and 0 remainder.

4/2 = 2 quotient and 0 remainder.

2/2 = 1 quotient and 0 remainder.

1/2 = 0 quotient and 1 remainder.

Hence, the binary number that will form by writing remainders from last to first is - 100000011.