Convert decimal number into binary number
a) 231
b) 324
c) 84
d) 64
Answers
Answer:
Explanation:
a) 231
Divide (231) 10 successively by 2 until the quotient is 0:
231 / 2 = 115, remainder is 1
115/2 = 57, remainder is 1
57/2 = 28, remainder is 1
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
231= 11100111
b) 324
Divide (324)10 successively by 2 until the quotient is 0:
324/2 = 162, remainder is 0
162/2 = 81, remainder is 0
81/2 = 40, remainder is 1
40/2 = 20, remainder is 0
20/2 = 10, remainder is 0
10/2 = 5, remainder is 0
5/2 = 2, remainder is 1
2/2 = 1, remainder is 0
1/2 = 0, remainder is 1
324= 101000100
c) 84
Divide (84)10 successively by 2 until the quotient is 0:
84/2 = 42, remainder is 0
42/2 = 21, remainder is 0
21/2 = 10, remainder is 1
10/2 = 5, remainder is 0
5/2 = 2, remainder is 1
2/2 = 1, remainder is 0
1/2 = 0, remainder is 1
84= 1010100.
d) 64
Divide (64)10 successively by 2 until the quotient 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
64 =1000000.