Table of Contents
- 1 Which of the following circuits transforms a decimal number to binary code?
- 2 What is the purpose of using binary coded decimal system in digital circuits?
- 3 Can binary numbers be divided?
- 4 How do you do division modulo 2?
- 5 How do you divide binary fractions?
- 6 What is the fastest way to convert binary to decimal?
- 7 What is the difference between BCD and binary?
- 8 What happens when you add two decimal digits in BCD?
Which of the following circuits transforms a decimal number to binary code?
Some examples of decimal to binary conversion are: 2 → 10. 3 → 11. 4 → 100.
What is the purpose of using binary coded decimal system in digital circuits?
The main advantage of the Binary Coded Decimal system is that it is a fast and efficient system to convert the decimal numbers into binary numbers as compared to the pure binary system. But the BCD code is wasteful as many of the 4-bit states (10-to-16) are not used but decimal displays have important applications.
Can binary numbers be divided?
In Binary division, two binary numbers of base 2 can be divided using the basic binary division rules.
What device converts the decimal format into its binary equivalent?
A digital computer/cellphone digital abacus converts the decimal format into its binary equivalent.
How do you divide binary numbers?
The Division of two fixed-point binary numbers in the signed-magnitude representation is done by the cycle of successive compare, shift, and subtract operations. The binary division is easier than the decimal division because the quotient digit is either 0 or 1.
How do you do division modulo 2?
Modulo 2 Division:
- In each step, a copy of the divisor (or data) is XORed with the k bits of the dividend (or key).
- The result of the XOR operation (remainder) is (n-1) bits, which is used for the next step after 1 extra bit is pulled down to make it n bits long.
How do you divide binary fractions?
Divide: Divide the working portion of the dividend by the divisor. (The dividend is the number under the line.) Multiply: Multiply the quotient (a single digit) by the divisor. Subtract: Subtract the product from the working portion of the dividend.
What is the fastest way to convert binary to decimal?
Binary to decimal conversion can be done in the simplest way by adding the products of each binary digit with its weight (which is of the form – binary digit × 2 raised to a power of the position of the digit) starting from the right-most digit which has a weight of 20.
What is the difference between binary and binary coded decimal?
For example, in binary a three digit decimal number from 0-to-999 requires only 10-bits ( 11111001112 ), whereas in binary coded decimal, the same number requires a minimum of 12-bits ( 0011 1110 0111BCD) for the same representation.
How many binary numbers can be represented using four binary digits?
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.
What is the difference between BCD and binary?
BCD’s main virtue is its more accurate representation and rounding of decimal quantities as well as an ease of conversion into human-readable representations, in comparison to binary positional systems.
What happens when you add two decimal digits in BCD?
The addition of two decimal digits in BCD, will create a possible carry bit of 1 which needs to be added to the next group of 4-bits. If the binary sum with the added carry bit is equal to or less than 9 (1001), the corresponding BCD digit is correct.