Answer:
Explanation:
To convert the binary number 101110102 to its decimal equivalent, we can use the positional notation method. We start by assigning a place value of 1 to the rightmost digit (least significant bit) and doubling the place value as we move from right to left. The place values for each digit in 101110102 are:
1 0 1 1 1 0 1 0
128 64 32 16 8 4 2 1
To convert the binary number to decimal, we multiply each digit by its corresponding place value and add up the results. Therefore, we have:
(1 x 128) + (0 x 64) + (1 x 32) + (1 x 16) + (1 x 8) + (0 x 4) + (1 x 2) + (0 x 1) = 192 + 16 + 4 + 2 = 214
Therefore, the decimal equivalent of the binary number 101110102 is 21410.