Question

do the binary numbers \0011\ and \000011\ have the same value or different values? explain.

Explanation:

Step1: Convert binary to decimal

In binary, leading zeros do not change the value. For binary number \(b_{n}b_{n - 1}\cdots b_{0}\), the decimal value \(V=\sum_{i = 0}^{n}b_{i}\times2^{i}\). For \(0011\), \(V_1=1\times2^{1}+1\times2^{0}=2 + 1=3\). For \(000011\), \(V_2=1\times2^{1}+1\times2^{0}=2 + 1=3\).

Answer:

They have the same value.