How many different binary numbers can be present by a string of binary code with 5 digits if the first digit is 1 and the last two digits are 0?
so our number has to look like this
1xx00, where x is either a 1 or 0
looks like we only have 2(2) or 4 such choices
To find the number of different binary numbers that can be formed by a string of binary code with 5 digits, where the first digit is 1 and the last two digits are 0, we need to consider the remaining digits in between.
Let's break down the problem step by step:
1. The first digit is fixed as 1.
2. The last two digits are fixed as 0. So, we have 5 - 1 - 2 = 2 digits remaining to be filled.
3. Each of the remaining 2 digits can be either 0 or 1.
Since there are 2 choices for each of the remaining 2 digits, the total number of different binary numbers that can be formed is 2 raised to the power of 2.
Therefore, the answer is 2^2 = 4.
So, there are 4 different binary numbers that can be formed by a string of binary code with 5 digits, where the first digit is 1 and the last two digits are 0.