If a number in base 4 is represented as '210', what is its equivalent in base 10?
Practice Questions
1 question
Q1
If a number in base 4 is represented as '210', what is its equivalent in base 10?
32
34
36
38
'210' in base 4 = 2*4^2 + 1*4^1 + 0*4^0 = 32.
Questions & Step-by-step Solutions
1 item
Q
Q: If a number in base 4 is represented as '210', what is its equivalent in base 10?
Solution: '210' in base 4 = 2*4^2 + 1*4^1 + 0*4^0 = 32.
Steps: 7
Step 1: Understand that '210' is a number in base 4.
Step 2: Identify the place values for each digit in '210'. The rightmost digit is the 0th place, the next is the 1st place, and the leftmost is the 2nd place.
Step 3: Write down the base 4 values for each digit: 2 is in the 2nd place, 1 is in the 1st place, and 0 is in the 0th place.
Step 4: Calculate the value of each digit by multiplying it with 4 raised to the power of its place value: 2 * 4^2, 1 * 4^1, and 0 * 4^0.
