In a base-4 number system, what is the decimal equivalent of the number '132'?
Practice Questions
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Q1
In a base-4 number system, what is the decimal equivalent of the number '132'?
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16
'132' in base 4 is calculated as 1*4^2 + 3*4^1 + 2*4^0 = 16 + 12 + 2 = 30.
Questions & Step-by-step Solutions
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Q
Q: In a base-4 number system, what is the decimal equivalent of the number '132'?
Solution: '132' in base 4 is calculated as 1*4^2 + 3*4^1 + 2*4^0 = 16 + 12 + 2 = 30.
Steps: 6
Step 1: Identify the base of the number system. Here, the base is 4.
Step 2: Write down the number '132' and identify each digit's position from right to left: 2 is in position 0, 3 is in position 1, and 1 is in position 2.
Step 3: Convert each digit to decimal by multiplying it by 4 raised to the power of its position: 1 * 4^2, 3 * 4^1, and 2 * 4^0.
