A host is on the 192.168.146.0 network that has a subnet mask of 255.255.255.0. The binary value of the host portion is 11010101. What is the decimal value of the host portion of the address?

213

Explanation:

The given parameters are;

The network on which the host is on = 192.168.146.0

The subnet mast = 255.255.255.0

The binary value of the host portion = 11010101

To convert the binary value to decimal value, we proceed by multiplying each of the digits of the binary value by the corresponding power of 2, from the left to right, starting from a power of 0, and sum the result, as follows;

(11010101)₂ = (1×2⁷ + 1×2⁶ + 0×2⁵ + 1×2⁴ + 0×2³ + 1×2² + 0×2¹ + 1×2⁰)₁₀

1×2⁷+1×2⁶+0×2⁵+1×2⁴+0×2³+1×2²+0×2¹+1×2⁰= 128+64+0+16+4+1 = 213

∴ (11010101)₂ = (213)₁₀

The decimal value of 11010101 is 213.

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