# how many 1s exist in the binary equivalent of the decimal number 36?

### Mohammed

Guys, does anyone know the answer?

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## 36 in Binary

36 in binary is 100100. A number system represented by 0s and 1s is called a binary number system. In this article, we will show how to convert decimal number 36 to binary.

## 36 in Binary

**36 in binary**is 100100. Unlike the decimal number system where we use the digits 0 to 9 to represent a number, in a binary system, we use only 2 digits that are 0 and 1 (bits). We have used 6 bits to represent 36 in binary. In this article, let us learn how to convert the decimal number 36 to binary.

## How to Convert 36 in Binary?

**Step 1:**Divide 36 by 2. Use the integer quotient obtained in this step as the dividend for the next step. Repeat the process until the quotient becomes 0.

Dividend Remainder 36/2 = 18 0 18/2 = 9 0 9/2 = 4 1 4/2 = 2 0 2/2 = 1 0 1/2 = 0 1

**Step 2:**Write the remainder from bottom to top i.e. in the reverse chronological order. This will give the binary equivalent of 36.

Therefore, the binary equivalent of decimal number 36 is 100100.

☛ Decimal to Binary Calculator

Let us have a look at the value of the decimal number 36 in the different number systems.

**36 in Binary:**36₁₀ = 100100₂

**36 in Octal:**36₁₀ = 44₈

**36 in Hexadecimal:**36₁₀ = 24₁₆

**100100₂ in Decimal:**36₁₀

**Problem Statements:**

What is 36 in Binary? - (Base 2) (100100)₂

What is 36 in Hexadecimal? - (Base 16) (24)₁₆

What is 36 in Octal? - (Base 8) (44)₈

Is 36 a Perfect Cube? No

Is 36 a Composite Number? Yes

Square Root of 36 6

Is 36 a Prime Number? No

Is 36 a Perfect Square? Yes

Cube Root of 36 3.301927

## FAQs on 36 in Binary

### What is 36 in Binary?

36 in binary is 100100. To find decimal to binary equivalent, divide 36 successively by 2 until the quotient becomes 0. The binary equivalent can be obtained by writing the remainder in each division step from the bottom to the top.

☛ Binary to Decimal

### How Many Bits Does 36 in Binary Have?

We can count the number of zeros and ones to see how many bits are used to represent 36 in binary i.e. 100100. Therefore, we have used 6 bits to represent 36 in binary.

### How to Convert 36 to Binary Equivalent?

We can divide 36 by 2 and continue the division till we get 0. Note down the remainder in each step.

36 mod 2 = 0 - LSB (Least Significant Bit)

18 mod 2 = 0 9 mod 2 = 1 4 mod 2 = 0 2 mod 2 = 0

1 mod 2 = 1 - MSB (Most Significant Bit)

Write the remainders from MSB to LSB. Therefore, the decimal number 36 in binary can be represented as 100100.

### What is the Binary Equivalent of 36 + 64?

36 in binary number system is 100100 and 64 is 1000000. We can add the binary equivalent of 36 and 64 using binary addition rules [0 + 0 = 0, 0 + 1 = 1, 1 + 1 = 10 note that 1 is a carry over to the next bit]. Therefore, (100100)₂ + (1000000)₂ = (1100100)₂ which is nothing but 100.

☛ Binary to Decimal Calculator

### Find the Value of 7 × 36 in Binary Form.

We know that 36 in binary is 100100 and 7 is 111. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 100100 × 111 = 11111100 which is 252 in the decimal number system. [36 × 7 = 252]

**☛ Also Check:**

90 in Binary - 1011010

40 in Binary - 101000

70 in Binary - 1000110

27 in Binary - 11011

4 in Binary - 100

93 in Binary - 1011101

59 in Binary - 111011

## Binary Coded Decimal or BCD Numbering System

Electronics Tutorial about the Binary Coded Decimal or the BCD numbering system where 4 bit binary numbers can hold a single denary digit

## Binary Coded Decimal

Binary Coded Decimal, or BCD, is another process for converting decimal numbers into their binary equivalents

As we have seen in this Binary Numbers section of tutorials, there are many different binary codes used in digital and electronic circuits, each with its own specific use, with **Binary Coded Decimal** being one of the main ones.

As we naturally live in a decimal (base-10) world we need some way of converting these decimal numbers into a binary (base-2) environment that computers and digital electronic devices understand, and binary coded decimal code allows us to do that.

We have seen previously that an n-bit binary code is a group of “n” bits that assume up to 2n distinct combinations of 1’s and 0’s. The advantage of the Binary Coded Decimal system is that each decimal digit is represented by a group of 4 binary digits or bits in much the same way as Hexadecimal. So for the 10 decimal digits (0-to-9) we need a 4-bit binary code.

But do not get confused, binary coded decimal is not the same as hexadecimal. Whereas a 4-bit hexadecimal number is valid up to F16 representing binary 11112, (decimal 15), binary coded decimal numbers stop at 9 binary 10012. This means that although 16 numbers (24) can be represented using four binary digits, in the BCD numbering system the six binary code combinations of: 1010 (decimal 10), 1011 (decimal 11), 1100 (decimal 12), 1101 (decimal 13), 1110 (decimal 14), and 1111 (decimal 15) are classed as forbidden numbers and can not be used.

The main advantage of binary coded decimal is that it allows easy conversion between decimal (base-10) and binary (base-2) form. However, the disadvantage is that BCD code is wasteful as the states between 1010 (decimal 10), and 1111 (decimal 15) are not used. Nevertheless, binary coded decimal has many important applications especially using digital displays.

In the BCD numbering system, a decimal number is separated into four bits for each decimal digit within the number. Each decimal digit is represented by its weighted binary value performing a direct translation of the number. So a 4-bit group represents each displayed decimal digit from 0000 for a zero to 1001 for a nine.

So for example, 35710 (Three Hundred and Fifty Seven) in decimal would be presented in Binary Coded Decimal as:

35710 = 0011 0101 0111 (BCD)

Then we can see that BCD uses weighted codification, because the binary bit of each 4-bit group represents a given weight of the final value. In other words, the BCD is a weighted code and the weights used in binary coded decimal code are 8, 4, 2, 1, commonly called the **8421 code** as it forms the 4-bit binary representation of the relevant decimal digit.

### Binary Coded Decimal Representation of a Decimal Number

Binary Power 23 22 21 20

Binary Weight: 8 4 2 1

The decimal weight of each decimal digit to the left increases by a factor of 10. In the BCD number system, the binary weight of each digit increases by a factor of 2 as shown. Then the first digit has a weight of 1 ( 20 ), the second digit has a weight of 2 ( 21 ), the third a weight of 4 ( 22 ), the fourth a weight of 8 ( 23 ).

Then the relationship between decimal (denary) numbers and weighted binary coded decimal digits is given below.

### Truth Table for Binary Coded Decimal

Decimal Number BCD 8421 Code

0 0000 0000 1 0000 0001 2 0000 0010 3 0000 0011 4 0000 0100 5 0000 0101 6 0000 0110 7 0000 0111 8 0000 1000 9 0000 1001 10 (1+0) 0001 0000 11 (1+1) 0001 0001 12 (1+2) 0001 0010 … … 20 (2+0) 0010 0000 21 (2+1) 0010 0001 22 (2+2) 0010 0010

etc, continuing upwards in groups of four

Then we can see that **8421 BCD** code is nothing more than the weights of each binary digit, with each decimal (denary) number expressed as its four-bit pure binary equivalent.

## Decimal-to-BCD Conversion

As we have seen above, the conversion of decimal to binary coded decimal is very similar to the conversion of hexadecimal to binary. Firstly, separate the decimal number into its weighted digits and then write down the equivalent 4-bit 8421 BCD code representing each decimal digit as shown.

## Binary Coded Decimal Example No1

Using the above table, convert the following decimal (denary) numbers: 8510, 57210 and 857910 into their 8421 BCD equivalents.

8510 = 1000 0101 (BCD)

57210 = 0101 0111 0010 (BCD)

857910 = 1000 0101 0111 1001 (BCD)

Note that the resulting binary number after the conversion will be a true binary translation of decimal digits. This is because the binary code translates as a true binary count.

## BCD-to-Decimal Conversion

The conversion from binary coded decimal to decimal is the exact opposite of the above. Simply divide the binary number into groups of four digits, starting with the least significant digit and then write the decimal digit represented by each 4-bit group. Add additional zero’s at the end if required to produce a complete 4-bit grouping. So for example, 1101012 would become: 0011 01012 or 3510 in decimal.

## Binary Coded Decimal Example No2

Convert the following binary numbers: 10012, 10102, 10001112 and 10100111000.1012 into their decimal equivalents.

स्रोत : **www.electronics-tutorials.ws**

## What is 5.36 (decimal) to binary?

Answer (1 of 6): Use double dabble method that is for whole part with divide by 2 and for fractional part multiplied by 2 method. 5÷2=\mathbf{2} \;\;R=1 \mathbf{2}÷2=\mathbf{1} \;\;R=0 \mathbf{1}÷2=\mathbf{0} \;\;R=1 till we get quotient zero. Take all remainders in reverse order will be th...

What is 5.36 (decimal) to binary?

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Sort Jeremy Galvagni

Plays with math.Author has 88 answers and 97.6K answer views6y

I don't think you could have picked a worse decimal. The 5 is easy. Since 5=4+1=1*2^2+0*2+1*1 in binary it's just 101.

The .36=36/100=9/25 that is the problem. It's going to be a repeating decimal since 25 isn't a power of 2. When I tried long division in binary I got .010111000010100011… quitting before I got to the repetition. I'm pretty sure it will be a 24 digit string that repeats.

Suppose you had asked about 5.375 since the decimal is 3/8=0/2+1/4+1/8 the answer would have been 101.011

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Vijay Mankar

Head of Department (Electronics) at Government Polytechnic NagpurAuthor has 4.8K answers and 5.3M answer views3y

Use double dabble method that is for whole part with divide by 2 and for fractional part multiplied by 2 method.

5÷2=2R=1 5÷2=2R=1 2÷2=1R=0 2÷2=1R=0 1÷2=0R=1 1÷2=0R=1

till we get quotient zero.

Take all remainders in reverse order will be the binary equivalent,

(5 ) 10 =(101 ) 2 (5)10=(101)2 Now (0.36 ) 10 (0.36)10 0.36×2=0.72R=0 0.36×2=0.72R=0

(whole part of multiplication)

0.72×2=1.44R=1 0.72×2=1.44R=1 0.44×2=0.88R=0 0.44×2=0.88R=0 0.88×2=1.76R=1 0.88×2=1.76R=1 0.76×2=1.52R=1 0.76×2=1.52R=1 0.52×2=1.04R=1 0.52×2=1.04R=1 ⋮ ⋮

This has to be done till we get fractional part after multiplication as zero but here it seems recurring.

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Download Chris Reid

B.S in Computer Science & Electronics Technology (AAS), University of Alaska Anchorage (Graduated 2010)Author has 4.1K answers and 7.1M answer views6y

first you take the 5 = 101

then the .36 thusly: .36 x 2 = 0.072 => 101.0

shift the remainder left one position, do again

then .72 x 2 = 1.44 => 101.01

then .44 x 2 = 0.088 => 101.010

then .88 x 2 = 1.76 -> 101.0101

then .76 x 2 = 1.52 -> 101.01011

keep going for more digits ..

.52 => 1.04 ==>1 .04 = 0.008 => 0 .08 = > .0016 =>0 … >

each time getting another digit, asymptotically approaching the number until you have “close enough” without going over.

Take a value that is close enough for your purpose. The procedure may or may not

ever return an exact zero, so some stopping point must be set.

1 Steven

Computer scientistAuthor has 7.4K answers and 27.3M answer views6y

That’s 536/100, which in binary is 1000011000 / 1100100. Now do a long division.

Okay, I’ll do it. It’s 101.01011100001010001111….,

where the stuff after the decimal point repeats indefinitely.

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Emily Moon

I think about math while listening to trance music. Author has 79 answers and 508.1K answer viewsUpdated 5y

Related

How do you convert decimal numbers to binary?

Before we convert a decimal number into binary let’s make sure we understand how regular decimal numbers work. We can use the decimal number 1337 as a random number to work through an example.

When we write the decimal number 1337 we are actually using a form of shorthand. What we really mean when we say 1337 is

1×1000+3×100+3×10+7×1

1×1000+3×100+3×10+7×1

In words, “1337 is 1 thousands, 3 hundreds, 3 tens, and 7 ones”. But notice that thousands, hundreds, tens, and ones, are just powers of 10.

So 1337=1× 10 3 +3× 10 2 +3× 10 1 +7× 10 0

1337=1×103+3×102+3×101+7×100

If we weren’t already

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Sign Up Brian McDowell

B2B Enterprise Salesman, growing SaaS revenues for 5+ years.Author has 102 answers and 225.3K answer views6y

5.36 in decimal is this in binary: 101.0101110000101000111101011100001010001111010111000010100011110101110000101000111101011100001010001111... (and it goes on and on)

I use this decimal/binary converter because you can also convert fractions: Decimal/Binary Converter

Tom Crosley

B.S. in Electrical Engineering, Iowa State UniversityUpvoted by

Alan Mellor

, Started programming 8 bit computers in 1981Author has 2.6K answers and 22.4M answer views2y

Guys, does anyone know the answer?