Question 183484: The decimal system we use is based on the number 10. For example, the number 132 is 1x10^2 + 3x10^1 + 2x10^0. However, numbers other than 10 can be used as the base of a number system. The binary system is based on 2. ( Determine the value in base 10 of each of the given base 2 numbers:
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a) 1100 b) 1110 c) 11111 d) 100000
. So this is what i tried: a) (1)2^3 + (1)2^2 + (0)2^1 + (0)2^0. so a = 12?
PLEASE HELP ME! I AM SO LOST! THANK YOU FOR ANY IDEAS AND HELP YOU CAN GIVE!
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! The decimal system we use is based on the number 10. For example, the number 132 is 1x10^2 + 3x10^1 + 2x10^0. However, numbers other than 10 can be used as the base of a number system. The binary system is based on 2. ( Determine the value in base 10 of each of the given base 2 numbers:
.
a) 1100 b) 1110 c) 11111 d) 100000
. So this is what i tried: a) (1)2^3 + (1)2^2 + (0)2^1 + (0)2^0. so a = 12?
PLEASE HELP ME! I AM SO LOST! THANK YOU FOR ANY IDEAS AND HELP YOU CAN GIVE!
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You're right, it's 12, and your method is the way to do it. What's the problem?
Try the others.
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As another example, the 132 in binary is: 10000100
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