How can you convert a binary number to its equivalent decimal and vice-versa?
Answers
Explanation:
Binary to Decimal Conversion of numbers uses weighted columns to identify the order of the digits to determine the final value of the number N = bi qi
where: N is a real positive number
b is the digit
q is the base value
and integer (i) can be positive, negative or zero
N = bn qn… b3 q3 + b2 q2 + b1 q1 + b0 q0 + b-1 q-1 + b-2 q-2… etc.
Answer:
Start count from right to left <------- direction
110 = ( <-------- direction) would be
0 as 2⁰ = 0 ,
1 would be 2¹ = 2
and next 1 would be 2² = 4
Thus answer would be 0 + 2 + 4 = 6
Hence, 110 in Binary is 6 in Decimal
Simillarly 111 would be 7
We write Binary as :
000 = 0
001 = 1
010 = 2
011 = 3
100 = 4
101 = 5
110 = 6
111 = 7
After 7 , we need 4 bits to represent 8, 9, 10 and So on.....
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