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Which of the following is the binary equivalent of the decimal number 35 ?

A.
100001
B.
100101
C.
100011
D.
101001

Solution:

The number system is a way to represent or express numbers. You have heard of various types of number systems such as the whole numbers and the real numbers. But in the context of computers, we define other types of number systems. They are:The decimal number systemThe binary number systemThe octal number system andThe hexadecimal number systemBinary Number System:A binary number system is one of the four types of number system. In computer applications, where binary numbers are represented by only two symbols or digits, i. e. 0 (zero) and 1(one). The binary numbers here are expressed in the base-2 numeral system. For example, (101)2 is a binary number. Each digit in this system is said to be a bit. Here we will show you step-by-step how to convert the decimal number 35 to binary. Step 1) Divide 35 by 2 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside. Step 2) Divide the Whole part of the Quotient from Step 1 by 2. Again, keep the Whole part and set the Remainder aside. Step 3) Repeat Step 2 above until the Whole part is 0. Step 4) Write down the Remainders in reverse order to get the answer to 35 as a binary. Important PointsHere we will show our work so you can follow along: Decimal NumberOperation QuotientRemainderBinary Number35÷ 2171117÷ 281118÷ 2400114÷ 22000112÷ 210000111÷ 201100011Therefore, Binary equivalent of decimal number 35 is 100011.

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