Convert the following decimal number to binary numbers ::
Answers
Answer: 1.
(a). (136)10 = (10001000)2
Step 1: Divide (136)10 successively by 2 until the quotient is 0:
136/2 = 68, remainder is 0
68/2 = 34, remainder is 0
34/2 = 17, remainder is 0
17/2 = 8, remainder is 1
8/2 = 4, remainder is 0
4/2 = 2, remainder is 0
2/2 = 1, remainder is 0
1/2 = 0, remainder is 1
Step 2: Read from the bottom (MSB) to top (LSB) as 10001000.
So, 10001000 is the binary equivalent of decimal number 136 (Answer).
(b). 11000000110 .
2.
(a). (1010) base 2 its mean it is in binary and we have to convert it in decimal
2^3 × 1 + 2^2 × 0 + 2^1 × 1 + 2^0 × 0
= 8 + 0 + 2 + 0
= 10
(10) base 10 it is converted in decimal
now , decimal to binary
2 | 10 | 0
2 | 5 | 1
2 | 2 | 0
2 | 1 | 1
from down the value is (1010) with base 2
now if you will see (1010)base 2 = (10) base 10
or (10) base 2 = ( 1010 ) base 2
(b). (45)10
Explanation: