The decimal equivalent of the binary number $(11010.101)_2$ is
- 9.625
- 25.265
- 26.625
- 26.265
The Correct Option is C
Solution and Explanation
$(11010.101)_{2}=0 \times 2^{0}+1 \times 2^{1}+0 \times 2^{2}$
$\quad+1 \times 2^{3}+1 \times 2^{4}+1 \times 2^{-1}+0 \times 2^{-2}+1 \times 2^{-3}$
$=0+2+0+8+16+\frac{1}{2}+0+\frac{1}{8}$
$=26+\frac{5}{8}=\frac{213}{8} \approx 26.625$
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Concepts Used:
Logic Gates
AND Gate
It is the gate, where a circuit performs an AND operation. It has n number of input where (n >= 2) and one output.
OR Gate
It is the gate, where a circuit performs an OR operation. It has n number of input where (n >= 2) and one output.
NOT Gate
An inverter is also called NOT Gate. It has one input and one output where the input is A and the output is Y.
NAND Gate
A NAND operation is also called a NOT-AND operation. It has n number of input where (n >= 2) and one output.
NOR Gate
A NOR operation is also called a NOT-OR operation. It has n number of input where (n >= 2) and one output.
XOR Gate
XOR or Ex-OR gate is a specific type of gate that can be used in the half adder, full adder, and subtractor.
XNOR Gate
XNOR gate is a specific type of gate, which can be used in the half adder, full adder, and subtractor. The exclusive-NOR gate is flattened as an EX-NOR gate or sometimes as an X-NOR gate. It has n number of input (n >= 2) and one output.