To find the decimal equivalent of an 8-bit binary number, you can use the positional numbering system. Each bit in the binary number represents a power of 2, from right to left. Starting from the rightmost bit, you assign a value of 2^0, 2^1, 2^2, and so on, doubling the value for each position. Then, you sum up the values of the positions where the binary digit is 1. This sum is the decimal equivalent of the 8-bit binary number.
Chat with our AI personalities
218
The binary number 10101010 is equivalent, in decimal representation, to 128 + 32 + 8 + 2 = 170. But this answer assumes that the given number is binary - an assumption for which there is no real justification. Besides, the relationship is an equivalence, which is not quite "the same thing".
We don't know what the base of the given number is. Since the only digits shown are 1's, the base could be anything from 2 and up. Whatever the base is, the given number is (base + 1). If " 0 0 0 0 1 1 " is a binary number (base 2), then the decimal equivalent is 3 .
Take the number and divide it by 100.
As per the 8421 rule the given binary number can be solved as : 0 0 0 0 0 1 1 1 0 0 0 0 0 4 2 1 i.e : 4+2+1 = 7 So the answer is 07 in decimal for 00000111 in binary