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Digital Literacy Computer Basics Computer Basics Binary

00000111

I understand that decimals use base 10 and binary uses base 2, so if you have a byte that is 00000011 why isn't the answer 11? The first 1 is in the 1s place and the second is in the 2s place. 2+1+8=11

1 Answer

Michael Hulet
Michael Hulet
47,912 Points

You're right that 11 in binary is 3 in base 10, but you're skipping a place in the other one. The first place from the left is the 1's place, the next place is the 2's place, and the next place is the 4's place, not 8's (that's the next one). Thus, 111 in binary would be 1 + 2 + 4, which would be 7

On a different note, you share a last name with a person I know. Do you happen to be related to Ari?

Thanks for the answer, I think I get it now. So 00001010 would be 10? I don't have any relatives named Ari to my knowledge. Weinstein is an extremely common last name. It was literally handed out at a dime a dozen.

Michael Hulet
Michael Hulet
47,912 Points

You're right, 1010 in binary is 10 in base 10.

Yeah, I know Weinstein is a fairly common name, but it's just uncommon enough that I thought it warranted the question