Arithmetic Operations and Circuits Questions

• Use the two's complement system to add the signed numbers 11110010 and 11110011. Determine, in decimal, the sign and value of each number and their sum.
• Adding the two's complement of –11 + (–2) will yield which two's complement answer?
• The fast carry or look-ahead carry circuits found in most 4-bit parallel-adder circuits:
• Adding in binary, the decimal values 26 + 27 will produce a sum of:
• The two's complement system is to be used to add the signed numbers 11110010 and 11110011. Determine, in decimal, the sign and value of each number and their sum.
• When 1100010 is divided by 0101, what will be the decimal remainder?
• The selector inputs to an arithmetic-logic unit (ALU) determine the:
• Binary subtraction of a decimal 15 from 43 will utilize which two's complement?
• What are the two types of basic adder circuits?
• When multiplying in binary the decimal values 13 × 11, what is the third partial product?
• The range of an 8-bit two's complement word is from:
• How many basic binary subtraction operations are possible?
• How many basic binary subtraction combinations are possible?
• Two half adders can be combined to form a full adder with no additional gates.
• A technique to speed parallel addition by eliminating the delay caused by the carry bit propagation is called fast carry, or look-ahead carry.
• Signed binary numbers have one bit that represents the sign, with the remaining bits representing the magnitude.
• If you borrow from a position that contains a 0, you must borrow from the more significant bit that contains a 1. All 0s up to that point become 1s, and the digit last borrowed from becomes a 0.
• Using the two's complement number system we can add numbers with like signs and obtain the correct result.
• End around carry is an operation in 1's complement subtraction where a 1 is added to the sum of the 1's complement of both numbers.
• A full adder adds three bits, a half adder adds 1-1/2 bits.