The decimal equivalent of the binary number (1101)
2
is
- A9
- B11
- C13
- D15
Solution & Step-by-step Explanation
To convert a base-2 binary number (1101)
2
into its base-10 decimal system equivalent, expand each bit position value by multiplying it by its corresponding power of 2:
(1101)
2
=(1×2
3
)+(1×2
2
)+(0×2
1
)+(1×2
0
)
(1101)
2
=(1×8)+(1×4)+(0×2)+(1×1)
(1101)
2
=8+4+0+1=13
2
into its base-10 decimal system equivalent, expand each bit position value by multiplying it by its corresponding power of 2:
(1101)
2
=(1×2
3
)+(1×2
2
)+(0×2
1
)+(1×2
0
)
(1101)
2
=(1×8)+(1×4)+(0×2)+(1×1)
(1101)
2
=8+4+0+1=13