What is the excess-4 notation 4 bit table between (-7 up to 7) ?
The excess-4 notation is a method of representing signed integers in binary form, where the representable range is from -7 to 7 using 4 bits. Here is the complete table:
Decimal | Binary (excess-4 notation)
-7 | 1000
-6 | 1001
-5 | 1010
-4 | 1011
-3 | 1100
-2 | 1101
-1 | 1110
0 | 1111
1 | 0000
2 | 0001
3 | 0010
4 | 0011
5 | 0100
6 | 0101
7 | 0110
In excess-4 notation, the binary value is obtained by adding 4 to the actual decimal value and representing it in binary form using the specified number of bits.
To create an excess-4 notation 4-bit table between the range of -7 up to 7, we will follow these steps:
Step 1: Determine the total number of values needed in the table.
In this case, we need a total of 15 values, as we are including both -7 and 7.
Step 2: Convert the decimal values to binary.
In excess-4 notation, we add 4 to the decimal value to obtain the corresponding binary value.
Here is the table:
Decimal | Excess-4 Notation (4-bit Binary)
----------------------------------------------
-7 | 1000
-6 | 1001
-5 | 1010
-4 | 1011
-3 | 1100
-2 | 1101
-1 | 1110
0 | 1111
1 | 0000
2 | 0001
3 | 0010
4 | 0011
5 | 0100
6 | 0101
7 | 0110
Please note that the excess-4 notation is a way to represent signed numbers in binary form, where the leftmost bit is the sign bit. In this case, 0 is considered positive, and 1 is considered negative. The remaining three bits are used to represent the magnitude of the number.