### The rules of addition for binary numbers

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(TCO 6) The operation B + A is being performed with B = 0 and A = 1. According to the rules of addition for binary numbers, which should the result be for CO and SUM?
C0 = 0 and SUM = 0
C0 = 0 and SUM = 1
C0 = 1 and SUM = 0
C0 = 1 and SUM = 1

Question 2.2. (TCO 6) The operation B - A is being performed with B = 1 and A = 0. According to the rules of addition for binary numbers, which should the result be for BORROW and DIFFERENCE?
BORROW = 0 and DIFFERENCE = 0
BORROW = 0 and DIFFERENCE = 1
BORROW = 1 and DIFFERENCE = 0
BORROW = 1 and DIFFERENCE = 1

Question 3.3. (TCO 6) Download the datasheet from www.ti.com for the 74LS283. Which device type has the lowest typical propagation delay for an add operation?
74283
74LS283
74S283
54283

Question 4.4. (TCO 6) Convert 910 to an 8 bit, two's complement number.
0000 1001
1111 0111
0100 1000
0001 0010

Question 5.5. (TCO 6) Convert -710 to an 8 bit, two's complement numb
0000 0111
1111 1001
0100 0000
0000 1110

Question 6.6. (TCO 6) Convert 4210 to an 8 bit, two's complement number.
0101 0100
0110 1011
0010 1010
1101 0110

Question 7.7. (TCO 6) Convert -4210 to an 8 bit, two's complement number.
0101 0100
0110 1011
0010 1010
1101 0110

Question 8.8. (TCO 6) Determine the values for the sum S7 S6 S5 S4 S3 S2 S1 S0, given A7 A6 A5 A4 A3 A2 A1 A0 = 0000 1100 and B7 B6 B5 B4 B3 B2 B1 B0 = 0110 1100.
0111 1000
0110 0000
0111 0000
0110 0100

Question 9.9. (TCO 6) Determine the values for the carry C8 C7 C6 C5 C4 C3 C2 C1, given A7 A6 A5 A4 A3 A2 A1 A0 = 0000 1011 and B7 B6 B5 B4 B3 B2 B1 B0 = 0110 1011.
0000 0000
0000 1011
1101 0000
0010 1100

Question 10.10. (TCO 6) Determine the values for the sum S7 S6 S5 S4 S3 S2 S1 S0, given A7 A6 A5 A4 A3 A2 A1 A0 = 0000 1100 and B7 B6 B5 B4 B3 B2 B1 B0 = 1111 1010.

0011 0000
1111 1010
0110 0000
0000 0110

Question 11.11. (TCO 6) Determine the values for the carry C8 C7 C6 C5 C4 C3 C2 C1, given A7 A6 A5 A4 A3 A2 A1 A0 = 0000 1100 and B7 B6 B5 B4 B3 B2 B1 B0 = 1111 1010.

0000 0000
0000 1000
1111 1000
1000 1111

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