Wednesday, November 21, 2012

Decimal to Binary Formula

Introduction to decimal to binary formula:

In this section we have decimal to binary formula. Decimal to binary conversion is one of the most important conversions in math subject. Decimal to binary conversion is the very simple process compare than other conversion in math. Below we have some conversion based on decimal and binary numbers. Let us see about decimal to binary formula.

Example Problems for Decimal to Binary Formula:
Example problem 1: Can you convert the following decimal number into binary number with neat and clear explanation: 211

Solution:

Given 211

To convert the given number 211 into binary number we have to follow some conditions:

First we divide the given number by 2 until we get one or zero.

The neat step is given below:

Therefore, the binary value of 211 is 11010011.
Answer: The binary value of 211 is 11010011.

Example problem 2:  Can you convert the following binary number into decimal number with neat and clear explanation: 1101100

Solution:

Given 1101100

To convert the given binary number we have to multiply power of 2.

1101100 = 1 xx `2^6` + 1 xx `2^5` + 0 xx `2^4` + 1 xx `2^3 ` + 1 xx `2^2 ` + 0 xx `2^1` + 0 xx `2^0` = 64 + 32 +0 + 8 + 4+ 0 + 0 = 108

Therefore, the decimal number of 1101100 is 108.

Answer: The decimal number of 1101100 is 108.

Is this topic how to solve math problems hard for you? Watch out for my coming posts.

Practice Problems for Decimal to Binary Formula:

Practice problem 1: Can you convert the following decimal number into binary number: 56

Practice problem 2: Can you convert the following binary number into decimal number: 110011

Practice problem 3: Can you convert the following decimal number into binary number: 32

Practice problem 4: Can you convert the following binary number into decimal number: 100001

Practice problem 5: Can you convert the following decimal number into binary number: 78

Practice problem 6: Can you convert the following binary number into decimal number: 11111100

Solutions for decimal to binary formula:

Solution 1: 111000

Solution 2: 27

Solution 3: 100000

Solution 4: 33

Solution 5: 1001110

Solution 6: 252

No comments:

Post a Comment