Answer:
130
Step-by-step explanation:
First you want to start in the one's place in 10000010, multiply the ones place with 2^0
then move to the left to the tens place with 2^1
hundreds place with 2^2 an so on
Decimal equivalent of "0" = 0 × 2^0 = 0
Decimal equivalent of "1" = 1 × 2^1 = 2
Decimal equivalent of "0" = 0 × 2^2 = 0
Decimal equivalent of "0" = 0 × 2^3 = 0
Decimal equivalent of "0" = 0 × 2^4 = 0
Decimal equivalent of "0" = 0 × 2^5 = 0
Decimal equivalent of "0" = 0 × 2^6 = 0
Decimal equivalent of "1" = 1 × 2^7 = 128
Next you want to add all the products you just got to get the decimal equivalent of 10000010
0 + 2 + 0 + 0 + 0 + 0 + 0 + 128 = 130
Therefore the binary number 10000010 in decimal is 130
