Table of Contents
- 1 How do you find the binary representation of a decimal number?
- 2 How are positive integers represented in binary?
- 3 What is the general technique for converting a decimal fraction to binary?
- 4 How do you find a negative number in binary?
- 5 What is the rule for converting decimal to binary?
- 6 How do you find the value of a binary number?
How do you find the binary representation of a decimal number?
The simplest way to convert a decimal number to a binary number is by dividing the given number repeatedly by 2 until we get 0 as the quotient. Then, we write the remainders in the reverse order to get the binary value of the given decimal number.
How are positive integers represented in binary?
a single binary digit, either zero or one. byte. 8 bits, can represent positive numbers from 0 to 255. hexadecimal….Signed Binary Integers.
| Binary | Unsigned | Signed |
|---|---|---|
| 1111 1111 | 255 | -1 |
| 1000 0000 | 128 | -128 |
What is the general technique for converting a decimal fraction to binary?
Divide the decimal number by 2 and store remainders in array. Divide the quotient by 2. Repeat step 2 until we get the quotient equal to zero. Equivalent binary number would be reverse of all remainders of step 1.
What is the maximum value of the integer if the binary representation contains B digits?
The maximum decimal number that can be represented with 1 byte is 255 or 11111111. An 8-bit word greatly restricts the range of numbers that can be accommodated….Maximum Decimal Value for N Bits.
| Number of Bits | Maximum States |
|---|---|
| 20 | 1,048,576 (1 M) |
| 24 | 16,777,216 (16 M) |
| 32 | 4,294,967,296 (4 G) |
How do you represent positive integers?
By whole numbers we mean numbers without fractions or decimals. You can also call positive integers your ‘counting numbers’ because they are the same. You don’t count with fractions or decimals or negative numbers. On a number line, positive integers are all the numbers to the right of the zero.
How do you find a negative number in binary?
Using two’s complement for negative numbers
- Find the positive binary value for the negative number you want to represent.
- Add a 0 to the front of the number, to indicate that it is positive.
- Invert or find the complement of each bit in the number.
- Add 1 to this number.
What is the rule for converting decimal to binary?
An easy method of converting decimal to binary number equivalents is to write down the decimal number and to continually divide-by-2 (two) to give a result and a remainder of either a “1” or a “0” until the final result equals zero. So for example. Convert the decimal number 29410 into its binary number equivalent.
How do you find the value of a binary number?
To convert integer to binary, start with the integer in question and divide it by 2 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero. Then just write out the remainders in the reverse order. Here is an example of such conversion using the integer 12.