Question

Please convert this files and includes full process of each converting

Binary to decimal: Please include STEP by STEP:

Decimal to binary

33

254

300

512

513

Answer 1

1)
Divide 33 successively by 2 until the quotient is 0
   > 33/2 = 16, remainder is 1
   > 16/2 = 8, remainder is 0
   > 8/2 = 4, remainder is 0
   > 4/2 = 2, remainder is 0
   > 2/2 = 1, remainder is 0
   > 1/2 = 0, remainder is 1
Read remainders from the bottom to top as 100001
So, 33 of decimal is 100001 in binary
Answer: 100001

2)
Divide 254 successively by 2 until the quotient is 0
   > 254/2 = 127, remainder is 0
   > 127/2 = 63, remainder is 1
   > 63/2 = 31, remainder is 1
   > 31/2 = 15, remainder is 1
   > 15/2 = 7, remainder is 1
   > 7/2 = 3, remainder is 1
   > 3/2 = 1, remainder is 1
   > 1/2 = 0, remainder is 1
Read remainders from the bottom to top as 11111110
So, 254 of decimal is 11111110 in binary
Answer: 11111110

3)
Divide 300 successively by 2 until the quotient is 0
   > 300/2 = 150, remainder is 0
   > 150/2 = 75, remainder is 0
   > 75/2 = 37, remainder is 1
   > 37/2 = 18, remainder is 1
   > 18/2 = 9, remainder is 0
   > 9/2 = 4, remainder is 1
   > 4/2 = 2, remainder is 0
   > 2/2 = 1, remainder is 0
   > 1/2 = 0, remainder is 1
Read remainders from the bottom to top as 100101100
So, 300 of decimal is 100101100 in binary
Answer: 100101100

4)
Divide 512 successively by 2 until the quotient is 0
   > 512/2 = 256, remainder is 0
   > 256/2 = 128, remainder is 0
   > 128/2 = 64, remainder is 0
   > 64/2 = 32, remainder is 0
   > 32/2 = 16, remainder is 0
   > 16/2 = 8, remainder is 0
   > 8/2 = 4, remainder is 0
   > 4/2 = 2, remainder is 0
   > 2/2 = 1, remainder is 0
   > 1/2 = 0, remainder is 1
Read remainders from the bottom to top as 1000000000
So, 512 of decimal is 1000000000 in binary
Answer: 1000000000

5)
Divide 513 successively by 2 until the quotient is 0
   > 513/2 = 256, remainder is 1
   > 256/2 = 128, remainder is 0
   > 128/2 = 64, remainder is 0
   > 64/2 = 32, remainder is 0
   > 32/2 = 16, remainder is 0
   > 16/2 = 8, remainder is 0
   > 8/2 = 4, remainder is 0
   > 4/2 = 2, remainder is 0
   > 2/2 = 1, remainder is 0
   > 1/2 = 0, remainder is 1
Read remainders from the bottom to top as 1000000001
So, 513 of decimal is 1000000001 in binary
Answer: 1000000001