To write the decimal number 37 in binary,how | vedclass

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Question

(B) To convert a decimal number to binary,we repeatedly divide the number by $2$ and record the remainders.$37 \div 2 = 18$ with a remainder of $1$$18

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(B) To convert a decimal number to binary,we repeatedly divide the number by $2$ and record the remainders.$37 \div 2 = 18$ with a remainder of $1$$18 \div 2 = 9$ with a remainder of $0$$9 \div 2 = 4$ with a remainder of $1$$4 \div 2 = 2$ with a remainder of $0$$2 \div 2 = 1$ with a remainder of $0$$1 \div 2 = 0$ with a remainder of $1$Reading the remainders from bottom to top,the binary representation of $37$ is $(100101)_2$.Counting the digits in $(100101)_2$,we find there are $6$ digits.Therefore,the correct option is $B$.

To write the decimal number $37$ in binary,how many binary digits are required?

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