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Signed binary subtraction 000000111001-111010000101 equals 000110101110 right?
Wiki User
∙ 9y ago
Wrong. You don't say whether you are using ones-complement notation or twos-complement notation, but in either case you'd be wrong. Your answer of 000110101110 is 430 decimal, but the correct answer is 435 or 436 depending on which notation you use.
Ones-complement notation:
000000111001 - 111010000101 = 000110110011
Decimal equivalent:
57 - (-378) = 57 + 378 = 435
Twos-complement notation:
000000111001 - 111010000101 = 000110110100
Decimal equivalent:
57 - (-379) = 57 + 379 = 436
Note that in ones-complement, converting the sign of any value simply inverts all the bits. So if we invert 111010000101 we get 000101111010 which is 378, thus the original signed value was -378. In twos complement we invert all the bits (as per ones-complement) and add 1, so 000101111010 + 1 is 000101111011 is 379, thus the original signed value was -379.
QED.
Wiki User
∙ 9y ago
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