Draw the truth table of a full subtractor circuit. Write a minterm Boolean expression for DIFFERENCE...

Question

Draw the truth table of a full subtractor circuit. Write a minterm Boolean expression for DIFFERENCE and BORROW outputs in terms of minuend variable, subtrahend variable and BORROW-IN. Minimize the expressions and implement them in hardware.

David · Accepted Answer

Binary Subtraction 
Binary Subtraction can take many forms but the rules for subtraction are the same 
whichever process you use. As binary notation only has two digits, subtracting a “0” from a 
“0” or a “1” leaves the result unchanged as 0-0 = 0 and 1-0 = 1. Subtracting a “1” from a “1” 
results in a “0”, but subtracting a “1” from a “0” requires a borrow. In other words 0 –
 1 requires a borrow. 
Binary Subtraction of Two Bits 
0 1 1 (Borrow)1 to 0 
-0 -0 -0 -1 
0 1 0 1 
For the simple 1-bit subtraction problem above, if the borrow bit is ignored the result of their binary 
subtraction resembles that of an Exclusive-OR Gate. To prevent any confusion in this tutorial 
between a binary subtractor input labelled, B and the resulting borrow bit output from the binary 
subtractor also being labelled, B,

Draw the truth table of a full subtractor circuit. Write a minterm Boolean expression for DIFFERENCE and BORROW outputs in terms of minuend variable, subtrahend variable and BORROW-IN. Minimize the...

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