# Flowchart for multiplication of two 8 bit numbers

A brief note on multiplying signed numbers. These are. If you get it wrong, you will have hard-to-find errors where the code will work sometimes but not others. Binary: If you assume a binary representation, it is implicitly a positive number. Two's complement binary: Here it gets fun. Now the top bit represents the sign of the value, negative if it's one.

To calculate the negative number, just invert all the bits of a positive number or less and add one:. Signs and bits: It's important to remember, though, that when you have a signed value, you no longer have an eight bit number - you have a seven bit number and a sign bit. Multiplication: There are four cases, two of which are the same because of the symmetries of multiplication:.

Assuming 8-bits throughout here: if you multiply unsigned by unsigned, there is no sign bit and the multiplicand and multiplier are implicitly positive. The result is therefore 16 bits wide, with no risk of overflow, and always considered a positive number. If you multiply signed by unsigned or the other way around then you're dealing with an 8 bit number, a seven bit number, and a sign bit.

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Because the unsigned value is implicitly positive, the result has the same sign as the signed value; positive if it was positive and negative if it was negative. The range of product values is 15 bits, and there's one sign bit.

The two sign bits will both be the same except for one special case which I'll discuss below. The odd thing here is that if we use the same input values - that is, the same binary values - we can interpret them in different ways and get different values as a result. It really is all a case of interpretation and is why the AVR has six different multiply instructions :.

The odd one out: I mentioned earlier a special case: consider 0x If you take the inverse and add one, you get the value 0x By convention, it's taken to be the negative value - but it remains unique in that the number it is representing requires eight bits rather than seven there are similar special cases for sixteen bits, twenty-four bits, and so on If you take this into account, you'll see that the sign bit ends up where you expect it, but it might require a further byte to hold this - there is a risk of overflow in this case.

Neil Barnes www. Quote: - binary unsigned A binary number is the one with two-valued digits. There are many binary representations, and among them a two-complement, one-complement, BCD binary-coded decimalNBC natural binary codeGray Code and perhaps a hundred more of them.

Also the commas in decimal numbers likeare misleading IMHO. From the context I know these are not fractional, but only group digits of integer numbers in groups of three.So result is stored in AX register. Corel - 3. Email This BlogThis! About The Author: admin.

### Multiplying two numbers ( Flowchart)

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Program should take first number and counter as input for the program and after implementing given below logic it should produce desired result. Consider that a byte is present in the AL register and second byte is present in the BL register. We have to multiply the byte in AL with the byte in BL.

## 8085 Program to Divide two 8 Bit numbers

We will multiply the numbers using successive addition method. In successive addition method, one number is accepted and other number is taken as a counter. The first number is added with itself, till the counter decrements to zero. Result is stored in DX register. Display the result, using display routine.

In the multiplication process we are considering successive bits of the multiplier, least significant bit first.

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The numbers copied down in successive lines are shifted one position to the left from the previous number. Finally numbers are added and their sum form the product. The sign of the product is determined from the sign of the multiplicand and multiplier. If they are alike, sign of the product is positive else negative.

Hardware Implementation : Following components are required for the Hardware Implementation of multiplication algorithm :. Note: Initially 0 is assigned to register A and E flip flop. Sequence counter is initialized with value n, n is the number of bits in the Multiplier.

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