## Subtraction using (r-1)’s compliment

(r – 1) ’s compliment:   (M – N) r This is similar to r’s compliment. There is a difference while dealing with the final carry we get If we have both M & N positives, then The Procedure for doing subtraction using (r – 1) ’s compliment is as follow: Take (r – 1) ’s compliment […]

## Subtraction using compliments

Subtraction method mentioned earlier looks good when we do it on paper and pencil but to implement a subtraction method on a digital platform then subtraction using compliments is better and efficient. r’s compliment: If we are given numbers M & N with base r, then we can to have to find M – N […]

## COMPLIMENTS

For a number system with base r (with r > 1), there are two types of compliments: r’s compliment (r-1) ‘s compliment r’s Compliment: If we have a positive number N with integer part of n digits  then we define r’s compliment  as   10’s compliment of number (5432) 10 is 104– 5432 = 10000 – 5432 = (4568) 10           […]

## SUBTRACTION (without using compliment method)

Decimal system: Let’s now analyze the subtraction of decimal systems. For subtraction we first subtract the least significant digit of subtrahend from that of minuend and if least significant digit of subtrahend is greater than that of minuend then we take borrow from the next digit of minuend and add 10 (base) to the previous digit […]

Decimal system: Although all of us are doing addition in decimal system since years and this may look a bit odd to study this again but I’ll still emphasize to study it further. Let us analyze the addition for decimal system.  For addition we firstly add least significant digits and keep the least significant digit of […]

## Binary to octal & hexadecimal And Vice-versa

Binary to octal and hexadecimal: To convert the number from binary to octal we make groups of 3 bits starting from the decimal point (in case of fractions)  and from right most bit (in case of integers) and write the corresponding octal equivalent of those 3 bits every time. The process of replacing the long […]

Decimal to Hexadecimal: following the same procedure Convert 26 decimal to hexadecimal: This method is also called Hex-dabble method. Convert 0.3875 to hexadecimal We can convert a fraction from a decimal to hexadecimal form by multiplying wit base and following the same procedure. Fraction is 0.3875 0.3875 * 16                          =6.2000                =6 + 0.2000         a-1=6 0.2000 * 16                          =3.2000                =3 […]

## Binary to octal conversion

To convert the number from binary to octal we make groups of 3 bits starting from the decimal point (in case of fractions)  and from right most bit (in case of integers) and write the corresponding octal equivalent of those 3 bits every time. The process of replacing the long strings of 1 & o […]