What is the decimal equivalent of the octal number 325.412?
[amp_mcq option1=”5195.213″ option2=”339.5195″ option3=”5195.339″ option4=”213.5195″ correct=”option4″]
This question was previously asked in
UPSC CBI DSP LDCE – 2023
For the integer part (325):
3 * 8^2 + 2 * 8^1 + 5 * 8^0
= 3 * 64 + 2 * 8 + 5 * 1
= 192 + 16 + 5
= 213
For the fractional part (.412):
4 * 8^-1 + 1 * 8^-2 + 2 * 8^-3
= 4/8 + 1/64 + 2/512
= 0.5 + 0.015625 + 0.00390625
= 0.51953125
Combining the parts: 213.51953125…
Looking at the options, 213.5195 is the closest representation of the decimal equivalent.