write 10000110 as a decimal.

Explanation:

Step1: Identify 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 either 0 or 1.

Step2: Expand the binary number 10000110

[1\times2^{7}+0\times2^{6}+0\times2^{5}+0\times2^{4}+0\times2^{3}+1\times2^{2}+1\times2^{1}+0\times2^{0}]

Step3: Calculate each term

[1\times2^{7}=128], [0\times2^{6}=0], [0\times2^{5}=0], [0\times2^{4}=0], [0\times2^{3}=0], [1\times2^{2}=4], [1\times2^{1}=2], [0\times2^{0}=0]

Step4: Sum up the terms

[128 + 0+0 + 0+0 + 4+2+0=134]

Answer:

134