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  • 02-12-2017
  • Computers and Technology
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What does the binary number 10011 represent in the decimal system?

A. 14
B. 19
C. 7
D. 81
E. 23

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steloneplp08uwa steloneplp08uwa
  • 02-12-2017
you must multiply each digit by a power of 2.
power for right-most digit is 0 and from right to left powers increase by 1.

10011 = 1 × [tex] 2^{4} [/tex] + 0 × [tex] 2^{3} [/tex] + 0 × [tex] 2^{2} [/tex] + 1 × [tex] 2^{1} [/tex] + 1 × [tex] 2^{0} [/tex] = 
16 + 0 + 0 + 2 + 1 = 19
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