what are the rules to convert a decimal number into binary number? please give answer I will mark brainliest.
Answers
Answer:
an easy method of converting decimal to binary number equivalents is to write down the decimal number and to continuously divide by 2 to give the result and a remainder of either 0 or 1 until the final result equals to 0.
Answer:
Explanation:
To convert decimal to binary numbers, proceed the steps given below:
Divide the given decimal number by “2” where it gives the result along with the remainder.
If the given decimal number is even, then the result will be whole and it gives the remainder “0”
If the given decimal number is odd, then the result is not divided properly and it gives the remainder “1”.
By placing all the remainders in order in such a way, the Least Significant Bit (LSB) at the top and Most Significant Bit (MSB) at the bottom, the required binary number will obtain.
Now, let us convert the given decimal number 294 into a binary number.
Divide by 2 Result Remainder Binary Value
294 ÷ 2 147 0 0 (LSB)
147 ÷ 2 73 1 1
73 ÷ 2 36 1 1
36 ÷ 2 18 0 0
18 ÷ 2 9 0 0
9 ÷ 2 4 1 1
4 ÷ 2 2 0 0
2 ÷ 2 1 0 0
1 ÷ 2 0 1 1 (MSB)
Therefore, the binary equivalent for the given decimal number 29410 is 1001001102
29410 =1001001102
Decimal to Binary Conversion Solved Examples
Example 1: Convert 16010 to binary Number
Solution:
Given: Decimal Number = 16010
Divide by 2 Result Remainder Binary Value
160 ÷ 2 80 0 0 (LSB)
80 ÷ 2 40 0 0
40 ÷ 2 20 0 0
20 ÷ 2 10 0 0
10 ÷ 2 5 0 0
5 ÷ 2 2 1 1
2 ÷ 2 1 0 0
1 ÷ 2 0 1 1 (MSB)
Therefore, 16010 = 101000002
Example 2: Convert 1710 into a binary number
Solution:
Given: Decimal Number = 1710
Divide by 2 Result Remainder Binary Value
17 ÷ 2 8 1 1 (LSB)
8 ÷ 2 4 0 0
4 ÷ 2 2 0 0
2 ÷ 2 1 0 0
1 ÷ 2 0 1 1 (MSB)
Therefore, 1710 = 100012
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