Solving Hexadecimal Unsigned 8-bit Integer Multiplication

In summary, the conversation discusses the process of finding the product of two hexadecimal unsigned 8-bit integers. The given initial values are 50 and 23, which are converted to their binary equivalents. However, the given binary equivalents do not match the original values, leading to confusion and the possibility of the solution manual using octal instead of hexadecimal.
  • #1
illidari
47
0

Homework Statement



a) 50 b) 23

Product of the hexadecimal unsigned 8-bit integers

Homework Equations



Step Action |||||||||| Multiplicand ||||||| Product/Multiplier
0 Initial Vals ||||||||| 101 000 ||||||| 000 000 010 011

The Attempt at a Solution



How did they get the initial values? 50 should be the multiplicand
50 = 5*16 + 0*1 = 80
80 = 1010000 in binary which is not 101 000

23 hex = 35 decimal = 100011 binary ... does not equal 10011I somehow have an extra zero in both :(?
 
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  • #2
Perhaps they meant octal rather than hex?
 
  • #3
a. 50 × 23
Step Action--- Multiplier ----Multiplicand---- Product
0 Initial Val ---010 011----- 000 000 101 000 ----000 000 000 000

that was the previous question, unsigned octal 6 bit integers

Guessing they used octal in the solution manual screwing me up :(?
 
  • #4
illidari said:
Guessing they used octal in the solution manual screwing me up :(?

It's been known to happen :smile:
 
  • #5


Based on the given information, it seems that the initial values were incorrectly entered. The correct values for 50 and 23 in hexadecimal are 32 and 17, respectively. Therefore, the correct initial values should be 00100000 for 32 and 00010001 for 17. It is important to double check all values and conversions when solving mathematical problems to avoid errors.
 

What is a hexadecimal unsigned 8-bit integer?

A hexadecimal unsigned 8-bit integer is a number represented in the hexadecimal number system, with a maximum value of 255. It is 8 bits in length, meaning it can be represented by 2 hexadecimal digits (0-9 and A-F).

What is multiplication in hexadecimal?

Multiplication in hexadecimal is the process of finding the product of two hexadecimal numbers. It follows the same principles as multiplication in the decimal system, but with different digits and place values.

Why is it important to solve hexadecimal unsigned 8-bit integer multiplication?

Hexadecimal unsigned 8-bit integer multiplication is important in computer science and engineering, as it is a commonly used method for performing calculations on binary data. It is also useful for converting between different number systems, such as binary and hexadecimal.

What is the process for solving hexadecimal unsigned 8-bit integer multiplication?

The process for solving hexadecimal unsigned 8-bit integer multiplication involves converting the numbers to binary, multiplying them together using the same principles as decimal multiplication, and then converting the result back to hexadecimal. It is important to pay attention to the number of bits and ensure that the result does not exceed 8 bits.

What challenges may arise when solving hexadecimal unsigned 8-bit integer multiplication?

Some challenges that may arise when solving hexadecimal unsigned 8-bit integer multiplication include keeping track of the number of bits, correctly converting between number systems, and dealing with numbers that exceed 8 bits. It is important to double-check calculations and use tools such as calculators or programming languages to ensure accuracy.

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