answersLogoWhite

0

In the same way that the columns of a decimal number represent powers of ten (ones, tens, hundreds, thousands, ... or 100, 101, 102, 103, ...), the columns of a binary number represent powers of two (ones, twos, fours, eights, ... or 20, 21, 22, 23, ...).

In the number you're given, you have eight digits, so your leftmost column is multiplied by 27 and your rightmost column by 20. So you can rewrite the number like this:

1×27 + 0×26 + 1×25 + 1×24 + 1×23 + 0×22 + 1×21 + 1×20

= 1×128 + 0×64 + 1×32 + 1×16 + 1×8 + 0×4 + 1×2 + 1×1

= 128 + 0 + 32 + 16 + 8 + 0 + 2 + 1

= 187

User Avatar

Wiki User

13y ago

Still curious? Ask our experts.

Chat with our AI personalities

JordanJordan
Looking for a career mentor? I've seen my fair share of shake-ups.
Chat with Jordan
BeauBeau
You're doing better than you think!
Chat with Beau
ViviVivi
Your ride-or-die bestie who's seen you through every high and low.
Chat with Vivi

Add your answer:

Earn +20 pts
Q: How do you express binary number 10111011 in decimal?
Write your answer...
Submit
Still have questions?
magnify glass
imp