1. How many basic binary subtraction combinations are possible?
2. 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.
3. The selector inputs to an arithmetic-logic unit (ALU) determine the:
4. Adding in binary, the decimal values 26 + 27 will produce a sum of:
5. When multiplying in binary the decimal values 13 × 11, what is the third partial product?
6. The range of an 8-bit two's complement word is from:
7. Signed binary numbers have one bit that represents the sign, with the remaining bits representing the magnitude.
8. The operands in a subtraction operation are the subend and the minuend.
9. A technique to speed parallel addition by eliminating the delay caused by the carry bit propagation is called fast carry, or look-ahead carry.
10. 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.
11. The operands in an addition operation consist of the augend and the addend.
12. A full adder adds three bits, a half adder adds 1-1/2 bits.
13. Using the two's complement number system we can add numbers with like signs and obtain the correct result.
14. Two half adders can be combined to form a full adder with no additional gates.
15. 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.
16. One advantage of using the 2's complement system to represent signed numbers is that you ___________.
17. The 1's complement of 1010102 is _________.
18. All digital systems that perform arithmetic operations must indicate _______ and ________ for numbers.
19. The carry propagation delay in 4-bit full-adder circuits ____________.
20. The 2's complement of 1101102 is _________.
21. A full adder adds ____.
22. The bits of a number that tell how large the number is are called ____________________.
23. Two 4-bit adders could be cascaded to form a(n) ___________.
24. An input to the mode pin of an arithmetic-logic unit (ALU) determines if the function will be _________.
25. In binary number systems the sign of a number is indicated by _________.