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Clutch Cargo
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Does anyone know how I can get Excel to convert binary to Gray Code and two's complement?
zgozvrm said:Here is the procedure for converting from binary to gray code.
Assume an n-digit binary number [tex]b_nb_{n-1}...b_2b_1b_0[/tex].
The gray code equivalent is found by the following formula:
[tex]g_n = b_n[/tex], for all other digits, [tex]g_x = b_x[/tex] XOR [tex]b_{x+1}[/tex]
zgozvrm said:As for doing this in Excel...
1) Enter the formula =MID(A$1,ROW()-2,1) in cells A3 through A12
2) Enter the formula =CONCATENATE(B3,B4,B5,B6,B7,B8,B9,B10,B11,B12) in cell B1
3) Enter the formula =IF(A3="","",IF(A3=A2,"0","1")) in cell B3
4) Select cell B3, copy, select cells B4 through B12, paste
Enter your binary number (up to 10 digits) in cell A1
The Gray code equivalent will be displayed in cell B1
chuckc said:I tried the Excel method above but when I put in a value of 0, it says the Gray Code equivalent is 1. And when I put in a value of 1, it still says the Gray Code equivalent is 1. Obviously there's something wrong there
Gray code is a binary number system where only one bit changes between two consecutive numbers, while 2's complement is a method for representing negative numbers in binary form by taking the complement of the positive number and adding 1. In gray code, the most significant bit remains unchanged when a number is incremented, while in 2's complement, the most significant bit represents the sign of the number.
To convert a number from gray code to 2's complement in Excel, you can use the following formula: =BIN2DEC(BITXOR(HEX2BIN(A1,4),HEX2BIN(A1,4))) where A1 is the cell containing the gray code number. This formula converts the gray code to binary, performs a bitwise XOR operation with the same binary number, and then converts the result back to decimal to get the 2's complement.
Yes, Excel has built-in functions for performing arithmetic operations on binary and hexadecimal numbers. You can use the BIN2DEC function to convert the numbers to decimal, perform the desired operation, and then convert the result back to binary or hexadecimal using the DEC2BIN or DEC2HEX functions.
In Excel, you can use the ISTEXT and ISNUMBER functions to check if a cell contains a text or numerical value, respectively. If a cell contains a number, you can use the BITAND function to check if the number is a power of 2, which is a characteristic of gray code numbers. If the result is TRUE, then the number is in gray code form. Similarly, you can use the BITOR function to check if the number is a power of 2 plus 1, which is a characteristic of 2's complement numbers.
While Excel can be a useful tool for working with binary and hexadecimal numbers, it has limitations when it comes to working with large numbers. Excel can only handle numbers up to a certain number of digits, and it may round off or display incorrect results for extremely large or small numbers. Additionally, Excel may not be as efficient as other programming languages for performing complex operations on binary and hexadecimal numbers.