the binary number 101 has the decimal equivalent of: a 3. b 101. c 41. d 5.
the binary number 101 has the decimal equivalent of: a 3. b 101. c 41. d 5.
Answer
Explanation:
Step1: Recall binary - decimal conversion formula
For a binary number (a_{n}2^{n}+a_{n - 1}2^{n - 1}+\cdots+a_{1}2^{1}+a_{0}2^{0}), where (a_{i}) is the (i) - th digit of the binary number. For the binary number 101, (n = 2), (a_2=1), (a_1 = 0), (a_0=1).
Step2: Calculate the decimal value
[ \begin{align*} &1\times2^{2}+0\times2^{1}+1\times2^{0}\ =&1\times4 + 0\times2+1\times1\ =&4 + 0+1\ =&5 \end{align*} ]
Answer:
D. 5