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Question

Physics Question on Logic gates

The binary number 1011110111 is equivalent to the decimal number

A

19

B

31

C

23

D

22

Answer

23

Explanation

Solution

Hence, (10111)B=1×24+0×23+1×22(10111) B=1 \times 2^{4}+0 \times 2^{3}+1 \times 2^{2}
+1×21+1×20+1 \times 2^{1}+1 \times 2^{0}
=16+0+4+2+1=23.=16+0+4+2+1=23.